GATE CE 2026 Set 2 — Question 51
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Structural Engineering → RC Fundamentals & Beams → Limit States (Collapse & Service)
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Question
A simply-supported rectangular reinforced concrete beam has a width 250 mm and an overall depth 600 mm. The effective span of the beam is 6.23 m. The beam carries a live load of 5 kN/m and super imposed dead load of 5 kN/m, in addition to its own weight. The unit weight of reinforced concrete is 25 kN/m. Consider the load factor of 1.5 for all stated loads.The design bending moment (in kN-m) for the limit state of collapse is ______ (rounded off to two decimal places).
Correct answer
98 to 102
Solution
To find the design bending moment for the limit state of collapse, we follow these steps:
Rounding to two decimal places, the design bending moment is 100.06 kN-m.
1.Calculate the self-weight of the beam ():
2.Calculate the total working load ():
3.Calculate the factored design load ():
4.Calculate the design bending moment ():
For a simply supported beam with an effective span :Rounding to two decimal places, the design bending moment is 100.06 kN-m.
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