GATE CE 2020 Set 1 — Question 53
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Structural Engineering → RC Fundamentals & Beams → Limit State Method
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Question
The singly reinforced concrete beam section shown in the figure (not drawn to the scale) is made of M25 grade concrete and Fe500 grade reinforcing steel. The total cross-sectional area of the tension steel is .
As per Limit State Design of IS 456:2000, the design moment capacity (in kN.m, round off to two decimal places) of the beam section, is ________.
Correct answer
158 to 158.8
Solution
Given data:
Width of beam,
Effective depth of beam,
Grade of concrete,
Grade of steel,
Area of tension steel, Step 1: Calculate the depth of the neutral axis ():
Equating total compression to total tension:
Step 2: Calculate the limiting depth of the neutral axis ():
For Fe500 steel, Step 3: Compare and :
Since (), the section is under-reinforced.Step 4: Calculate the design moment capacity ():
Rounding off to two decimal places, the design moment capacity is .
Width of beam,
Effective depth of beam,
Grade of concrete,
Grade of steel,
Area of tension steel, Step 1: Calculate the depth of the neutral axis ():
Equating total compression to total tension:
Step 2: Calculate the limiting depth of the neutral axis ():
For Fe500 steel, Step 3: Compare and :
Since (), the section is under-reinforced.Step 4: Calculate the design moment capacity ():
Rounding off to two decimal places, the design moment capacity is .
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