16-Serviceability Limit State for Beams (Steel Structural Design & Prof. Shehab Mourad)

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Maximum beam deflections are typically limited to L/360 of the beam span to prevent damage to attached materials like plaster or walls and to maintain structural integrity. Excessive deflections under service loads can compromise the durability of non-structural finishes and reduce confidence in the beam's ability to carry loads even if it is structurally sufficient. According to standard American practice, the maximum allowable deflection of a beam under service live loads is L/360, where L is the beam span.

1 Prepared by Prof. Shehab Mourad – Department of Civil Eng. - KSU
Serviceability Limit State for Beams
- Deflection of beams
The deflections of beams are usually limited to certain maximum values for several
excellent reasons such as;
1- Excessive deflection may damage other materials attached to it as plasters, walls
and flooring.
2- Extreme deflection do not inspire confidence in persons using the structure,
although it may be completely safe from strength point of view.
Standard American practice for buildings has been limit service live load deflection
to approximately L/360, where "L" is the beam span.
Maximum deflection due to service live loads D max £ L /360
w
L
P
L/2 L/2
P
a a
P
L - 2a
L
L
w
P
L
D max = 5 w L4
384 E I
D max = P L3
48 E I
D max = P a ( 3 L2
– 4 a2
)
24 E I
D max = w L4
8 E I
D max = P L3
3 E I

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Lec03 Earthquake Force Using Response Specturum Method (1) (Earthquake Engine...

Hossam Shafiq II

Lec02 Earthquake Damage to Concrete Structure (Earthquake Engineering هندسة ا...

Hossam Shafiq II

Lec01 Design of RC Structures under lateral load (Earthquake Engineering هندس...

Hossam Shafiq II

Lec13 Continuous Beams and One Way Slabs(3) Footings (Reinforced Concrete Des...

Hossam Shafiq II

Lec12 Continuous Beams and One Way Slabs(2) Columns (Reinforced Concrete Desi...

Hossam Shafiq II

Lec11 Continuous Beams and One Way Slabs(1) (Reinforced Concrete Design I & P...

Hossam Shafiq II

The document discusses reinforced concrete continuity and analysis methods for continuous beams and one-way slabs. It describes how steel reinforcement must extend through members to provide structural continuity. The ACI/SBC coefficient method of analysis is summarized, which uses coefficient tables to determine maximum shear forces and bending moments for continuous beams and one-way slabs under various loading conditions in a simplified manner compared to elastic analysis. Requirements for applying the coefficient method include having multiple spans with ratios less than 1.2, prismatic member sections, and live loads less than 3 times dead loads.

Lec10 Bond and Development Length (Reinforced Concrete Design I & Prof. Abdel...

Hossam Shafiq II

This document discusses bond and development length in reinforced concrete. It defines bond as the adhesion between concrete and steel reinforcement, which is necessary to develop their composite action. Bond is achieved through chemical adhesion, friction from deformed bar ribs, and bearing. Development length refers to the minimum embedment length of a reinforcement bar needed to develop its yield strength by bonding to the surrounding concrete. The development length depends on factors like bar size, concrete strength, bar location, and transverse reinforcement. It also provides equations from design codes to calculate the development length for tension bars, compression bars, bundled bars, and welded wire fabric. Hooked bars can be used when full development length is not available, and the document discusses requirements for standard hook geome

Lec09 Shear in RC Beams (Reinforced Concrete Design I & Prof. Abdelhamid Charif)

Hossam Shafiq II

This document discusses shear in reinforced concrete beams. It covers shear stress and failure modes, shear strength provided by concrete and steel stirrups, design according to code provisions, and critical shear sections. Key points include: transverse loads induce shear stress perpendicular to bending stresses; shear failure is brittle and must be designed to exceed flexural strength; nominal shear strength comes from concrete and steel stirrups according to code equations; design requires checking section adequacy and providing minimum steel area and maximum stirrup spacing. Critical shear sections for design are located a distance d from supports.

Lec07 Analysis and Design of Doubly Reinforced Beam (Reinforced Concrete Desi...

Hossam Shafiq II

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