GATE CE 2016 Set 2 — Question 45
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Structural Engineering → RC Fundamentals & Beams → Shear Design of Beams
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Question
A haunched (varying depth) reinforced concrete beam is simply supported at both ends, as shown in the figure. The beam is subjected to a uniformly distributed factored load of intensity 10 kN/m. The design shear force (expressed in kN) at the section X-X of the beam is ______
Correct answer
64 to 66
Solution
1.Calculate reactions at supports:
For a simply supported beam with a uniformly distributed load (UDL) kN/m and span m:kN.
2.Calculate shear force () and bending moment () at section X-X ( m):
kN.kNm.
3.Determine effective depth () and haunch slope () at section X-X:
The depth varies linearly from 600 mm at the support to 400 mm at the center (10 m from support).mm = 0.5 m.
.
4.Calculate design shear force ():
For a haunched beam where the depth decreases in the direction of increasing bending moment (from support towards center), the design shear force is given by:kN.
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