Structural Analysis & Design

Submitted To: Submitted By:
Md. Yasin Md. Rifat Bin Ahmed Majumdar
Lecturer,Dept. Of Civil Engineering ID: BCE 1402002207
Sonargaon University Section B3
SONARGAON UNIVERSITY

 There are three types of support system.These are:
1.Fixed Support(Has 3 Reactions)
2.Hinge/Pin Support(Has 2 Reactions)
3.Roller Support(Has 1 Reactions)
 Beam classification based on supports:
1.Simply Supported Beam:
2.Fixed Supported Beam:

3.Cantilever Beam:
4.Overhanging beam:
5.Continuous Beams:
6.Propped Cantilever Beam:
 Name of methods for the analysis of indeterminate structures:
1.Moment distribution method
2.Slope deflection method
3.Matrix method
 Stiffness (direct) method or displacement method
 Flexibility Method or force method
4.Column Analogy Method
5.The Method of Consistent Deformation

 Formula for Determination of Degree of Static Indeterminacy(DOSI):
o For Frame and Beam n=3m+r-3j
o For Truss n=m+r-2j
Here,
m= number of members
r=number of reaction
j=number of joint
 Example 1: Determine DOSI for the following structure:
Solution:
We know,
For frame structure n =3m+r-3j
So now,
n=3x3+4-3x4
n=9+4-12
∴ Dosi = 1

Example 2: Determine DOSI for the following structure:
Solution:
We know,
For frame structure n =3m+r-3j
So now,
n=3x6+4-3x6
n=22-18
∴ Dosi = 4
Example 3: Determine DOSI for the following structure:
Solution:
We know,
For beam structure n =3m+r-3j
So now,
n=3x1+5-3x2
n=8-6
∴ Dosi = 2

Example 3: Determine DOSI for the following truss structure:
Solution:
We know,
For truss structure n =m+r-2j
So now,
n=21+4-2x12
n=1
∴ Dosi = 1

Structural Analysis & Design

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