This document contains instructions and questions for a Mechanics of Materials exam. It includes 12 questions related to topics like elastic constants, stresses and strains, beam loading diagrams, deflection, columns, strain energy, creep, fatigue, and stress concentration. Students are instructed to choose one question from each pair (1 OR 2, 3 OR 4, etc.) and show calculations when necessary. Data like material properties and dimensions are provided for selected questions.
L16 : Slope Deflection Method for Analysis of Indeterminate Beams Dr. OmPrakash
1. This document provides an example of analyzing an indeterminate beam using the slope deflection method. It gives the steps to determine internal moments at each joint of a frame.
2. The steps include determining fixed end moments, calculating joint moments using slope deflection equations, and applying equilibrium conditions to solve for unknown slope values.
3. The values obtained are then substituted into the joint moment equations to find the internal moments at each joint of the frame.
L15: Analysis of Indeterminate Beams by Slope Deflection Method Dr. OmPrakash
1) The document discusses analyzing indeterminate beams using the slope deflection method. It provides an example of determining moments at each joint of a frame.
2) Equilibrium equations are set up and solved simultaneously to find the slopes at specific joints.
3) The bending moment diagram is drawn based on the calculated slopes, with anticlockwise and clockwise moments indicated at each joint.
This document discusses the moment area method for determining slopes of beams. It presents the first and second moment area theorems which relate the bending moment to the area under the moment-curvature diagram. These theorems are used to calculate the slopes at two points on a beam given the modulus of elasticity, second moment of area, and bending moment values. An example problem demonstrates applying the theorems to find the slopes at points B and C of a beam.
This document discusses the analysis of indeterminate beams using the moment distribution method. It provides the modified stiffness factor equation when the end of the beam is simply supported. It then gives an example problem and shows the step-by-step solution using the moment distribution method, including calculating the distribution factors, compiling the moment distribution table through multiple cycles, and determining the shear forces and bending moments. Finally, it briefly mentions analyzing nonprismatic members and using design tables with the moment distribution method.
This document appears to be an exam for an engineering mechanics course, consisting of multiple choice and numerical problems. It covers topics like units, forces, equilibrium, centroids, moments of inertia, beam loading, stresses, strains, and material properties. The problems calculate values like reaction forces, centroid locations, moments of inertia, stresses, strains, temperatures changes and deformations based on given engineering structures and materials under certain loads or conditions.
This document contains a question paper for an examination on the design of machine elements. It includes the following:
1) Part A contains 10 short answer questions covering topics like stresses in components, failure theories, types of joints, springs, flywheels, and bearings.
2) Part B contains 5 long answer questions involving calculations for shafts, couplings, bolts, springs, and bearings. Design problems include determining sizes based on strength, load capacity, and stress.
3) Part C contains 2 design problems - determining dimensions and stresses for a flywheel and connecting rod based on given load and stress criteria.
This document contains instructions for Assignment No. 3 and No. 4 to be submitted by September 31st, 2015 for the Mechanics of Solids course. Assignment No. 3 contains 6 questions related to deformation of conical bars, deflection of cantilever beams, stresses and strains in beams, design of shafts based on allowable stresses, and derivation of Poisson's ratio from other material properties. Assignment No. 4 contains 5 questions on deflection and stresses in beams, relationship between principal and shear stresses, design of bolts, design of rotating shafts, and stresses in beams with T-sections. Students are to attempt the questions and problems in the assignments.
The document contains 8 questions related to strength of materials. Question 1 asks about stresses in a reinforced concrete column under a load. Question 2 asks about drawing shear force and bending moment diagrams for a beam. Question 3 compares flexural strength of an I-section beam to a circular beam of the same material and area.
L16 : Slope Deflection Method for Analysis of Indeterminate Beams Dr. OmPrakash
1. This document provides an example of analyzing an indeterminate beam using the slope deflection method. It gives the steps to determine internal moments at each joint of a frame.
2. The steps include determining fixed end moments, calculating joint moments using slope deflection equations, and applying equilibrium conditions to solve for unknown slope values.
3. The values obtained are then substituted into the joint moment equations to find the internal moments at each joint of the frame.
L15: Analysis of Indeterminate Beams by Slope Deflection Method Dr. OmPrakash
1) The document discusses analyzing indeterminate beams using the slope deflection method. It provides an example of determining moments at each joint of a frame.
2) Equilibrium equations are set up and solved simultaneously to find the slopes at specific joints.
3) The bending moment diagram is drawn based on the calculated slopes, with anticlockwise and clockwise moments indicated at each joint.
This document discusses the moment area method for determining slopes of beams. It presents the first and second moment area theorems which relate the bending moment to the area under the moment-curvature diagram. These theorems are used to calculate the slopes at two points on a beam given the modulus of elasticity, second moment of area, and bending moment values. An example problem demonstrates applying the theorems to find the slopes at points B and C of a beam.
This document discusses the analysis of indeterminate beams using the moment distribution method. It provides the modified stiffness factor equation when the end of the beam is simply supported. It then gives an example problem and shows the step-by-step solution using the moment distribution method, including calculating the distribution factors, compiling the moment distribution table through multiple cycles, and determining the shear forces and bending moments. Finally, it briefly mentions analyzing nonprismatic members and using design tables with the moment distribution method.
This document appears to be an exam for an engineering mechanics course, consisting of multiple choice and numerical problems. It covers topics like units, forces, equilibrium, centroids, moments of inertia, beam loading, stresses, strains, and material properties. The problems calculate values like reaction forces, centroid locations, moments of inertia, stresses, strains, temperatures changes and deformations based on given engineering structures and materials under certain loads or conditions.
This document contains a question paper for an examination on the design of machine elements. It includes the following:
1) Part A contains 10 short answer questions covering topics like stresses in components, failure theories, types of joints, springs, flywheels, and bearings.
2) Part B contains 5 long answer questions involving calculations for shafts, couplings, bolts, springs, and bearings. Design problems include determining sizes based on strength, load capacity, and stress.
3) Part C contains 2 design problems - determining dimensions and stresses for a flywheel and connecting rod based on given load and stress criteria.
This document contains instructions for Assignment No. 3 and No. 4 to be submitted by September 31st, 2015 for the Mechanics of Solids course. Assignment No. 3 contains 6 questions related to deformation of conical bars, deflection of cantilever beams, stresses and strains in beams, design of shafts based on allowable stresses, and derivation of Poisson's ratio from other material properties. Assignment No. 4 contains 5 questions on deflection and stresses in beams, relationship between principal and shear stresses, design of bolts, design of rotating shafts, and stresses in beams with T-sections. Students are to attempt the questions and problems in the assignments.
The document contains 8 questions related to strength of materials. Question 1 asks about stresses in a reinforced concrete column under a load. Question 2 asks about drawing shear force and bending moment diagrams for a beam. Question 3 compares flexural strength of an I-section beam to a circular beam of the same material and area.
L18 analysis of indeterminate beams by moment distribution methodDr. OmPrakash
The document discusses the moment distribution method for analyzing indeterminate beams. It begins with an overview of the method and some basic definitions. It then describes the step-by-step process, which involves (1) computing fixed end moments by assuming locked joints, (2) releasing joints causing unbalanced moments, (3) distributing unbalanced moments according to member stiffnesses, (4) carrying moments over to other joints, and (5) repeating until moments converge. Key terms discussed include stiffness factors, carry-over factors, and distribution factors.
1. The document describes a project to determine the load carrying capacity of a 600mm diameter, 23m long cast in situ concrete pile using PLAXIS 2D software. Soil properties from borehole tests and laboratory tests are input into an axisymmetric pile model.
2. Loads are applied incrementally to the pile model and settlement is recorded to generate a load-displacement curve. The ultimate load is determined as 1850kN from the curve.
3. Allowable load is calculated using code criteria and found to be 954.548kN, matching the field test value. References used for the analysis are listed.
This document contains a question paper for a Mechanical Engineering exam with questions covering various topics in thermal engineering including:
- The efficiency of diesel engines at different cutoff ratios
- How the Brayton cycle works
- Classification of air compressors
- Components and operation of internal combustion engines
- Differences between Otto and Diesel cycles
- Factors considered in gas turbine working fluid selection
The question paper consists of three parts: Part A contains 10 short answer questions, Part B contains 5 long answer questions, and Part C contains 1 long numerical problem question.
05-Strength of Double Angle Bolted Tension Members (Steel Structural Design &...Hossam Shafiq II
1. The document discusses the limit states and failure modes of bolted double angle tension members, including yielding of the gross section, fracture at the net section, and block shear failure.
2. It provides equations to calculate the effective net area considering shear lag effects, and the block shear strength considering both shear and tensile strengths.
3. An example calculation is shown to determine the tensile resistance of a double unequal angle member bolted at one leg, where fracture at the net section governs with a strength of 393.9 kN.
This document appears to be an exam for a Strength of Materials course, as it contains multiple choice and numerical problems relating to topics in strength of materials. It begins with 10 short answer questions on concepts like Poisson's ratio, volumetric strain, points of contraflexure, assumptions of bending theory, and properties of springs, cylinders, and materials. It then provides 13 multi-part numerical problems calculating stresses, shear forces, bending moments, deflections, spring properties, cylinder dimensions, and more. It concludes with 2 long form problems, one involving drawing shear force and bending moment diagrams and the other calculating slope and deflection of a cantilever beam. The document tests students' understanding of key analytical concepts and calculations in strength of
10-Design of Tension Member with Bolted Connection (Steel Structural Design &...Hossam Shafiq II
1. The document describes the design of a tension member with either a bolted or welded end connection.
2. For the bolted connection, the design uses 4 bolts with 20 mm diameter to connect two 102x89x6.4 mm angles based on checking slip resistance, bolt shear, bearing and member strength requirements.
3. For the welded connection, the design uses two 88.9x63.5x7.9 mm angles connected by 60 mm longitudinal and transversal welds, checking weld and member strength. The longitudinal weld length is increased to 70 mm to satisfy block shear requirements.
1. The document describes a problem involving the elongation of a tapered bar made of plastic that has a hole drilled through part of its length and is under compressive loads at its ends.
2. It provides the dimensions, material properties, and loads and asks for the maximum diameter of the hole if the shortening of the bar is limited to 8 mm.
3. The solution sets up an equation for the shortening of the bar in terms of the hole diameter and substitutes the given values to solve for the maximum hole diameter of 23.9 mm.
1) The document contains sample questions from a theory of structures exam for a civil engineering diploma program. It includes questions on topics like stresses in beams, slope and deflection of beams, analysis of determinate structures, and theorems for beam analysis.
2) Sample questions are multiple choice, short answer, and long answer. Questions range from defining terms to calculating reactions, slopes, moments, and analyzing frames.
3) Solutions are not provided, only the questions and instructions for answering are given to help students prepare for the exam.
This document is a question paper for an examination in Dynamics of Machines. It contains three parts with a total of 16 questions. Part A contains 10 multiple choice questions worth 2 marks each. Part B contains 5 numerical problems worth 13 marks each. Part C contains 1 numerical problem worth 15 marks. The questions cover topics such as balancing of rotating masses, critical speeds, vibration analysis, governors, and forces in reciprocating engines.
This document discusses the analysis of a braced truss structure under two assumptions. It presents a truss with given member forces and asks to determine the forces in the diagonal members. It then shows the step-by-step working to calculate the diagonal forces under each assumption. Assumption 1 considers the diagonals as slender members that can only resist tension. Assumption 2 considers the diagonals as heavy members that can share the shear force in a panel. The final diagrams show the resulting forces in the diagonals for each assumption.
12-Examples on Compression Members (Steel Structural Design & Prof. Shehab Mo...Hossam Shafiq II
This document provides examples of calculating the factor resistance of steel columns and angles under axial compression loading. It determines the effective area considering local and global buckling effects. It calculates the critical buckling stress and compares it to design tables. For a double angle, it finds the factor resistance is 427 kN. For a W360x134 column with KLx=12m and KLy=6m, it calculates the factor resistance as 2654.6 kN.
17-Examples of Beams (Steel Structural Design & Prof. Shehab Mourad)Hossam Shafiq II
1. A steel beam with a 9m span is designed to support uniform loads. The lightest W-shape sections are selected for different cases of lateral support of the top flange.
2. For full lateral support, a W610x82 section is selected. For support at 2.25m intervals, the same section satisfies strength requirements.
3. A W610x92 section is required for support at mid-span.
4. A W460x128 section satisfies strength and deflection limits for no lateral support.
Sheryar Bismil
Student of Mirpur University of Science & Technology(MUST).
Student of Final Year Civil Engineering Department Main campus Mirpur.
Here we Gonna to learn about the basic to depth wise study of Plan Reinforced Concrete-i.
From basis terminology to wide information about the analysis and design of Concrete member like column,Beam,Slab,etc.
06-Strength of Double Angle Welded Tension Members (Steel Structural Design &...Hossam Shafiq II
1. The document discusses the strength of double angle welded tension members. It describes three failure modes: yielding of the gross area, fracture of the effective area, and block shear rupture in the angle.
2. Formulas are provided to calculate the nominal resistance (Rn) for each failure mode based on the yield strength, ultimate tensile strength, and dimensions of the angles.
3. An example problem is worked through to determine the governing strength of a specific welded double angle configuration based on the provided dimensions and material properties. The yielding of the gross area controls with a nominal resistance of 459 kN.
This document contains a question paper for the subject Design of Transmission Systems. It has three parts - Part A contains 10 short answer questions, Part B contains 5 long answer numerical problems, and Part C contains 1 design problem. Some of the topics covered include types of pulleys and belts, gear trains, brakes, wire rope sheaves and gearbox design. The paper is for a Bachelor's degree examination with a duration of three hours and total marks of 100.
The cable produces a total pull of 220 kN at the top of the anchorage. Let's break this problem down step-by-step:
1) Resolve the 220 kN force into horizontal (RAH) and vertical (RAV) components:
RAH = 220 cos 30° = 191 kN
RAV = 220 sin 30° = -196 kN (note the negative sign indicates downward direction)
2) The horizontal and vertical equilibrium equations are satisfied:
ΣH = RAH - 0 = 0
ΣV = RAV - (-196) = 0
Therefore, the support reactions are:
RAH = 191 kN
RAV = -196 kN
19-Examples for Beam Column (Steel Structural Design & Prof. Shehab Mourad)Hossam Shafiq II
1. The document provides examples of checking the strength of beams and columns.
2. In the first example, the beam section W 310 x 97 is checked to resist ultimate loads and is found to be safe.
3. In the second example, the safety of column section W 360 x 72 is checked for a given load of 250 kN when laterally supported at mid-height. It is found to be unsafe by about 8% and requires a larger section.
This document is a tutor marked assignment for an engineering mechanics course. It contains 10 questions assessing students' understanding of topics covered during the course including forces, kinematics, centroids, moments of inertia, and static friction. Students are asked to calculate values, draw diagrams, locate centroids, and determine tensions, forces, and velocities related to various physical situations. All questions must be answered and submitted by July 31, 2012 for grading.
The document summarizes the load distribution calculation for a one-way slab. It provides the given data for the slab, beam, and column dimensions. It then calculates the dead and live loads on the slab based on the self-weight and imposed live loads. The loads are then calculated as they are distributed from the slab to the beams, from the beams to the columns, and finally from the columns to the footing. Equations and diagrams are provided at each step to demonstrate how the loads are calculated and distributed throughout the one-way slab structural system.
This document contains information about a 6th semester B.E. degree examination in Design of Machine Elements including:
- The exam is 3 hours long and worth a total of 100 marks
- It contains two parts (A and B) and students must answer 5 full questions selecting at least two from each part
- Part A includes questions on topics like curved link mechanisms, high pressure cylinders, flat and V-belt drives, and helical springs
- Part B includes topics like bevel gears, worm gears, cone clutches, band brakes, and lubrication
- The document provides examples of questions that could be asked on each topic including calculating dimensions, stresses, pressures, and other mechanical design parameters.
This document contains 8 questions on the topics of mechanics of solids for a B.Tech exam. Question 1 has two parts asking about (a) finding the size and length of a middle tie bar portion given stress and extension values, and (b) calculating the extension of a rod with a varying width. Question 2 asks to analyze a beam shown in a figure by drawing shear force, bending moment, and thrust diagrams. The remaining questions cover additional topics like simple bending, stresses in beams and cylinders, truss analysis methods, and deflection calculations.
The document appears to be an exam question paper for the subject of Management and Entrepreneurship from the Fifth Semester B.E. Degree Examination in December 2013/January 2014. It contains 8 questions divided into two parts - Part A and Part B. Part A focuses on management concepts while Part B covers entrepreneurship topics. Students are instructed to answer 5 full questions by selecting at least 2 questions from each part. The paper tests knowledge across areas such as management principles, planning, organizational structure, motivation, leadership, control systems, entrepreneurial qualities, types of entrepreneurs and stages of entrepreneurial processes.
L18 analysis of indeterminate beams by moment distribution methodDr. OmPrakash
The document discusses the moment distribution method for analyzing indeterminate beams. It begins with an overview of the method and some basic definitions. It then describes the step-by-step process, which involves (1) computing fixed end moments by assuming locked joints, (2) releasing joints causing unbalanced moments, (3) distributing unbalanced moments according to member stiffnesses, (4) carrying moments over to other joints, and (5) repeating until moments converge. Key terms discussed include stiffness factors, carry-over factors, and distribution factors.
1. The document describes a project to determine the load carrying capacity of a 600mm diameter, 23m long cast in situ concrete pile using PLAXIS 2D software. Soil properties from borehole tests and laboratory tests are input into an axisymmetric pile model.
2. Loads are applied incrementally to the pile model and settlement is recorded to generate a load-displacement curve. The ultimate load is determined as 1850kN from the curve.
3. Allowable load is calculated using code criteria and found to be 954.548kN, matching the field test value. References used for the analysis are listed.
This document contains a question paper for a Mechanical Engineering exam with questions covering various topics in thermal engineering including:
- The efficiency of diesel engines at different cutoff ratios
- How the Brayton cycle works
- Classification of air compressors
- Components and operation of internal combustion engines
- Differences between Otto and Diesel cycles
- Factors considered in gas turbine working fluid selection
The question paper consists of three parts: Part A contains 10 short answer questions, Part B contains 5 long answer questions, and Part C contains 1 long numerical problem question.
05-Strength of Double Angle Bolted Tension Members (Steel Structural Design &...Hossam Shafiq II
1. The document discusses the limit states and failure modes of bolted double angle tension members, including yielding of the gross section, fracture at the net section, and block shear failure.
2. It provides equations to calculate the effective net area considering shear lag effects, and the block shear strength considering both shear and tensile strengths.
3. An example calculation is shown to determine the tensile resistance of a double unequal angle member bolted at one leg, where fracture at the net section governs with a strength of 393.9 kN.
This document appears to be an exam for a Strength of Materials course, as it contains multiple choice and numerical problems relating to topics in strength of materials. It begins with 10 short answer questions on concepts like Poisson's ratio, volumetric strain, points of contraflexure, assumptions of bending theory, and properties of springs, cylinders, and materials. It then provides 13 multi-part numerical problems calculating stresses, shear forces, bending moments, deflections, spring properties, cylinder dimensions, and more. It concludes with 2 long form problems, one involving drawing shear force and bending moment diagrams and the other calculating slope and deflection of a cantilever beam. The document tests students' understanding of key analytical concepts and calculations in strength of
10-Design of Tension Member with Bolted Connection (Steel Structural Design &...Hossam Shafiq II
1. The document describes the design of a tension member with either a bolted or welded end connection.
2. For the bolted connection, the design uses 4 bolts with 20 mm diameter to connect two 102x89x6.4 mm angles based on checking slip resistance, bolt shear, bearing and member strength requirements.
3. For the welded connection, the design uses two 88.9x63.5x7.9 mm angles connected by 60 mm longitudinal and transversal welds, checking weld and member strength. The longitudinal weld length is increased to 70 mm to satisfy block shear requirements.
1. The document describes a problem involving the elongation of a tapered bar made of plastic that has a hole drilled through part of its length and is under compressive loads at its ends.
2. It provides the dimensions, material properties, and loads and asks for the maximum diameter of the hole if the shortening of the bar is limited to 8 mm.
3. The solution sets up an equation for the shortening of the bar in terms of the hole diameter and substitutes the given values to solve for the maximum hole diameter of 23.9 mm.
1) The document contains sample questions from a theory of structures exam for a civil engineering diploma program. It includes questions on topics like stresses in beams, slope and deflection of beams, analysis of determinate structures, and theorems for beam analysis.
2) Sample questions are multiple choice, short answer, and long answer. Questions range from defining terms to calculating reactions, slopes, moments, and analyzing frames.
3) Solutions are not provided, only the questions and instructions for answering are given to help students prepare for the exam.
This document is a question paper for an examination in Dynamics of Machines. It contains three parts with a total of 16 questions. Part A contains 10 multiple choice questions worth 2 marks each. Part B contains 5 numerical problems worth 13 marks each. Part C contains 1 numerical problem worth 15 marks. The questions cover topics such as balancing of rotating masses, critical speeds, vibration analysis, governors, and forces in reciprocating engines.
This document discusses the analysis of a braced truss structure under two assumptions. It presents a truss with given member forces and asks to determine the forces in the diagonal members. It then shows the step-by-step working to calculate the diagonal forces under each assumption. Assumption 1 considers the diagonals as slender members that can only resist tension. Assumption 2 considers the diagonals as heavy members that can share the shear force in a panel. The final diagrams show the resulting forces in the diagonals for each assumption.
12-Examples on Compression Members (Steel Structural Design & Prof. Shehab Mo...Hossam Shafiq II
This document provides examples of calculating the factor resistance of steel columns and angles under axial compression loading. It determines the effective area considering local and global buckling effects. It calculates the critical buckling stress and compares it to design tables. For a double angle, it finds the factor resistance is 427 kN. For a W360x134 column with KLx=12m and KLy=6m, it calculates the factor resistance as 2654.6 kN.
17-Examples of Beams (Steel Structural Design & Prof. Shehab Mourad)Hossam Shafiq II
1. A steel beam with a 9m span is designed to support uniform loads. The lightest W-shape sections are selected for different cases of lateral support of the top flange.
2. For full lateral support, a W610x82 section is selected. For support at 2.25m intervals, the same section satisfies strength requirements.
3. A W610x92 section is required for support at mid-span.
4. A W460x128 section satisfies strength and deflection limits for no lateral support.
Sheryar Bismil
Student of Mirpur University of Science & Technology(MUST).
Student of Final Year Civil Engineering Department Main campus Mirpur.
Here we Gonna to learn about the basic to depth wise study of Plan Reinforced Concrete-i.
From basis terminology to wide information about the analysis and design of Concrete member like column,Beam,Slab,etc.
06-Strength of Double Angle Welded Tension Members (Steel Structural Design &...Hossam Shafiq II
1. The document discusses the strength of double angle welded tension members. It describes three failure modes: yielding of the gross area, fracture of the effective area, and block shear rupture in the angle.
2. Formulas are provided to calculate the nominal resistance (Rn) for each failure mode based on the yield strength, ultimate tensile strength, and dimensions of the angles.
3. An example problem is worked through to determine the governing strength of a specific welded double angle configuration based on the provided dimensions and material properties. The yielding of the gross area controls with a nominal resistance of 459 kN.
This document contains a question paper for the subject Design of Transmission Systems. It has three parts - Part A contains 10 short answer questions, Part B contains 5 long answer numerical problems, and Part C contains 1 design problem. Some of the topics covered include types of pulleys and belts, gear trains, brakes, wire rope sheaves and gearbox design. The paper is for a Bachelor's degree examination with a duration of three hours and total marks of 100.
The cable produces a total pull of 220 kN at the top of the anchorage. Let's break this problem down step-by-step:
1) Resolve the 220 kN force into horizontal (RAH) and vertical (RAV) components:
RAH = 220 cos 30° = 191 kN
RAV = 220 sin 30° = -196 kN (note the negative sign indicates downward direction)
2) The horizontal and vertical equilibrium equations are satisfied:
ΣH = RAH - 0 = 0
ΣV = RAV - (-196) = 0
Therefore, the support reactions are:
RAH = 191 kN
RAV = -196 kN
19-Examples for Beam Column (Steel Structural Design & Prof. Shehab Mourad)Hossam Shafiq II
1. The document provides examples of checking the strength of beams and columns.
2. In the first example, the beam section W 310 x 97 is checked to resist ultimate loads and is found to be safe.
3. In the second example, the safety of column section W 360 x 72 is checked for a given load of 250 kN when laterally supported at mid-height. It is found to be unsafe by about 8% and requires a larger section.
This document is a tutor marked assignment for an engineering mechanics course. It contains 10 questions assessing students' understanding of topics covered during the course including forces, kinematics, centroids, moments of inertia, and static friction. Students are asked to calculate values, draw diagrams, locate centroids, and determine tensions, forces, and velocities related to various physical situations. All questions must be answered and submitted by July 31, 2012 for grading.
The document summarizes the load distribution calculation for a one-way slab. It provides the given data for the slab, beam, and column dimensions. It then calculates the dead and live loads on the slab based on the self-weight and imposed live loads. The loads are then calculated as they are distributed from the slab to the beams, from the beams to the columns, and finally from the columns to the footing. Equations and diagrams are provided at each step to demonstrate how the loads are calculated and distributed throughout the one-way slab structural system.
This document contains information about a 6th semester B.E. degree examination in Design of Machine Elements including:
- The exam is 3 hours long and worth a total of 100 marks
- It contains two parts (A and B) and students must answer 5 full questions selecting at least two from each part
- Part A includes questions on topics like curved link mechanisms, high pressure cylinders, flat and V-belt drives, and helical springs
- Part B includes topics like bevel gears, worm gears, cone clutches, band brakes, and lubrication
- The document provides examples of questions that could be asked on each topic including calculating dimensions, stresses, pressures, and other mechanical design parameters.
This document contains 8 questions on the topics of mechanics of solids for a B.Tech exam. Question 1 has two parts asking about (a) finding the size and length of a middle tie bar portion given stress and extension values, and (b) calculating the extension of a rod with a varying width. Question 2 asks to analyze a beam shown in a figure by drawing shear force, bending moment, and thrust diagrams. The remaining questions cover additional topics like simple bending, stresses in beams and cylinders, truss analysis methods, and deflection calculations.
The document appears to be an exam question paper for the subject of Management and Entrepreneurship from the Fifth Semester B.E. Degree Examination in December 2013/January 2014. It contains 8 questions divided into two parts - Part A and Part B. Part A focuses on management concepts while Part B covers entrepreneurship topics. Students are instructed to answer 5 full questions by selecting at least 2 questions from each part. The paper tests knowledge across areas such as management principles, planning, organizational structure, motivation, leadership, control systems, entrepreneurial qualities, types of entrepreneurs and stages of entrepreneurial processes.
This document provides unit-wise assignment questions for the subject Mechanics of Materials compiled by Hareesha N G, an assistant professor at Dayananda Sagar College of Engineering. It includes questions covering topics in three units: simple stress and strain, stress in composite sections, and compound stresses. The questions are intended to help students learn and practice key concepts in mechanics of materials through problem solving. There are a total of 10 questions listed for each unit, addressing topics such as stress-strain behavior, thermal stresses, principal stresses, and Mohr's circle analysis. The document aims to equip students with practice questions to solidify their understanding of mechanics of materials.
This document contains exam questions for Management and Engineering subjects. It is divided into two parts (PART A and PART B) with multiple choice and long answer questions covering various topics:
- PART A includes questions on management functions, planning, communication, recruitment processes, and engineering topics like stresses in bodies, stress concentration factors, and shaft design.
- PART B includes questions on entrepreneurship, types of businesses, barriers to entrepreneurship, location selection for small industries, sources of finance, project selection criteria, network techniques, and engineering topics like dynamics of machines, balancing of rotating masses, and engine dynamics.
The document provides detailed exam questions to test students' understanding of management and engineering concepts. Students must answer 5
This document contains questions for a university examination on Energy Engineering. It begins with multiple choice and short answer questions testing understanding of various energy generation technologies including:
1) Diesel power plants, their components and operation.
2) Fast breeder nuclear reactors, their advantages and disadvantages.
3) Hydroelectric power plants, including components like surge tanks, water hammer effect, and calculating available power from hydrograph and flow duration curve data.
It then covers topics like solar energy technologies like pyranometers, photovoltaic cells, and calculating extraterrestrial radiation. Other renewable technologies discussed include tidal energy, ocean thermal energy conversion, biomass gasifiers.
The document aims to comprehensively examine
This document contains an examination for the subject Mechanics of Deformable Bodies. It asks students to:
1) Explain stress and strain at a point and derive the differential form of equilibrium equations in three dimensions.
2) Determine if given stress components satisfy equilibrium equations at a given point (1, -1, 2), and if not, determine the required body force vector.
3) Derive expressions for normal and shear strains in terms of displacements for an infinitesimal element, and define principal planes and stresses.
The document contains multiple choice and long answer questions testing students' understanding of stress, strain, equilibrium, and other core topics in mechanics of deformable bodies.
This document appears to be an exam paper containing multiple choice and long answer questions related to management, entrepreneurship, small scale industries, project management, and structural design of reinforced concrete elements.
Some of the long answer questions ask students to:
- Define management and discuss levels of management
- Explain planning and types of plans with examples
- Discuss steps in selection procedures and sources of recruitment for organizations
- Design structural elements like beams, slabs, columns, and footings.
The document contains questions from two parts - Part A and Part B. Questions range from design to theoretical concepts in management, entrepreneurship, and structural engineering.
This document contains a summary of a refresher course covering various structural analysis problems. It includes 5 situations involving calculating reactions, tensions, stresses, and shear forces for different structures. The document tests understanding through multiple choice questions after explaining the concepts and showing the calculations for each situation. The situations involve analyzing forces on a portable seat, cables supporting a ceiling, stresses on an element using Mohr's circle, forces on a bridge girder under loading, and stresses in a hollow circular signage pole.
This document appears to be an exam for a Strength of Materials course, as it contains multiple choice and numerical problems relating to concepts in strength of materials. It begins with 10 short answer questions worth 2 marks each [Part A]. It then lists 5 problems worth 16 marks each [Part B], covering topics such as stresses and strains in rods due to tensile forces, shear force and bending moment diagrams, stresses and deflections in beams, stresses and deflections in springs, stresses and failures in compression members, and principal stresses. The document provides data and asks students to show working to calculate values for stresses, strains, deflections, loads, and other strength of materials variables. It aims to test students' understanding and application of key
This document contains a series of engineering problems and questions related to structural analysis. It includes calculation of stresses, required reinforcement, and loads on structural members.
The first problem calculates compressive stress in a circular pole. The second determines development length and total bar length for a reinforced concrete member. The third calculates design moment for a one-way slab.
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This document contains questions from a B.E. Degree Examination in Design of RCC Structural Elements. The exam has 5 modules.
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Mechanics of materials
1. TKN/KS/16/7375 1 P.T.O
B.E. (Mechanical Engineering) Fourth Semester (C.B.S.)
Mechanics of Materials Paper - V
P. Pages : 4 TKN/KS/16/7375
Time : Three Hours Max. Marks : 80
_____________________________________________________________________
Notes : 1. All questions carry marks as indicated.
2. Solve Question 1 OR Questions No. 2.
3. Solve Question 3 OR Questions No. 4.
4. Solve Question 5 OR Questions No. 6.
5. Solve Question 7 OR Questions No. 8.
6. Solve Question 9 OR Questions No. 10.
7. Solve Question 11 OR Questions No. 12.
8. Due credit will be given to neatness and adequate dimensions.
9. Assume suitable data whenever necessary.
10. Illustrate your answers whenever necessary with the help of neat sketches.
11. Use of non programmable calculator is permitted.
12. Use of Design Data Book is Permitted.
1. a) Define various elastic constants. And Derive relation between modulus of Elasticity &
Modulus of Rigidity.
6
b) A steel plate having dimensions 360mm x 220mm x 30mm is subjected to bi-axial normal
stresses as shown in fig 1(b). Assuming E=200GPa and Poisson ratio = 0.3.
Calculate
i) Strain in 3-directions
ii) Volumetric strain
iii) Change in volume
iv) Bulk Modulus
220 mm
360 mm
140 MPa
140 MPa
140 MPa
140 MPa
Fig. 1 (b)
7
OR
2. a) A steel tube of 30mm external diameter and 25mm internal diameter encloses a gun metal
rod of 20mm diameter, to which it is rigidly joined at each end. If at a temperature of 30ºC
there is no longitudinal stress, Calculate the stresses in rod and tube when temperature is
raised to 120ºC.
.C/º1020C/º1012
GPa100E,GPa200E
6
GM
6
st
GMst
7
*0783*
NagpurStudents.Org
2. TKN/KS/16/7375 2
b) Member ABCD subjected to point loads as shown in figure 2 (b). Calculate 2P necessary
for equilibrium, if kN130PandkN450P,kN45P 431 . Determine total elongation
Take 25
mmN101.2E .
P1
625 mm2
2500 mm2
1250
mm2
P2 P3
P4
80 cm200 cm120 cm
Fig. 2 (b)
6
3. Draw shear force and Bending Moment diagram for the overhang Beam shown in fig (3).
Find the point of contraflexure if any the couple is acting at Pt. 'B'.
A
7 kN/mtr 5 kN.m
C
D
20 kN
B
5 m 2 m 3 m
Fig. 3
13
OR
4. a) For a circular cross section beam. Show that maximum shear stress eragecovT
3
4
max . 6
b) A cast iron beam of 25mmx25mm in section and 1 meter long and supported at the ends
tails when a centre load of 1000N is applied. What uniformly distributed load will break a
cantilever of same material 60mm wide 100mm deep and 1.5 meter long.
8
5. A beam of span 8m is simply supported at the ends. It carries a udl of 30 kN/m over its
entire length & a concentrated Load of 60kN at 3m from left support. Determine the
maximum deflection in the beam & its Location.
44
m1080I&GPa200E
.
13
OR
6. a) A block 100mmx50mmx7.5mm. Thick is subjected to uniformly distributed stress field as
shown in fig 6 (A) Compute normal stress and shear stress developed along BD Plane.
50mm
35 kN
35 kN
25 kN25 kN
A B
CD
100 mm Fig. 6 (A)
6
NagpurStudents.Org
3. TKN/KS/16/7375 3 P.T.O
b) On a mild steel plate, a circle of 50mm diameter is drawn before the plate is stressed as
shown in figure 6 (b). Find the length of major & Minor axes of an ellipse formed as a result
of deformation of the circle marked. 25.0&GP200E
m
1 .
80 MPa
40 MPa
40 MPa
40 MPa
40 MPa
80 MPa
80 MPa
80 MPa
Fig. 6 (b)
7
7. a) Derive the torsional equation for a solid circular shaft with usual notations. 6
b) A solid shaft is required to transmit 300kW at 110rpm, the maximum torque being 20%
greater than mean torque. Determine the diameter 'd' of the shaft so that the torsional shear
stress should not exceed 63MPa & angle of twist not exceed 1.5º in a length of 3m.
Take G=84 GPa.
7
OR
8. a) Prove that Crippling Load by Euler's formula for column having both ends hinged, is given
by,
2L
IE2
crF
5
b) A 1.5m long column has circular cross section of 50mm diameter. One end is fixed while
other end is free. Calculate Safe Load using F.S=3 by
i) Euler's Formula – 25
mmN102.1E
ii) Rankine's formula, 1600
1
c &MPa560 .
8
9. a) Show that strain energy stored in a body when the load is applied gradually is given by,
VU
E2
2
.
5
b) A Wagon Weighing 35KN is attached to a wire rope & moving on level track at a speed of
3.6Km/hr, When the rope Jams & the Wagon is suddenly brought to rest. If the length of
the rope is 60m at the time of Sudden Stoppage, Calculate the maximum instantaneous
stress & Max. Instantaneous elongation produced. Diameter of rope = 30mm
2
m/GN200E .
8
OR
NagpurStudents.Org
4. TKN/KS/16/7375 4
10. a) Explain the Creep Phenomenon. 5
b) A steel bar 25mm diameter and 2.5m length is fixed at the top end and hangs vertically with
rigid collar at its lower end. Find the maximum instantaneous stress developed in the rod &
deformation if a weight of 200KN falls on collar through 300mm height. Take E = 204 GPa.
8
11. a) Explain in brief the S-N diagram. 4
b) What do you understand by stress concentration ? Explain in brief methods of reducing its
effect.
5
c) Explain in brief different theories of failure. 5
OR
12. A hot rolled steel shaft is subjected to torsional load that varies from 300N-m C.W. to 100
N-m C.C.W & bending moment that varies from +400 N-m to -100 N-m. The shaft is of
uniform Cross-Section & having no stress raiser present at critical section. Determine the
required diameter of shaft. Assume FS=1.5. The material properties are.
MPa290Seb;MPa410Syt;MPa550Sut
Surface finish factor = 0.9, Size factor = 0.8, Reliability = 0.9.
14
************
NagpurStudents.Org
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