1
GATE CE 2023 Set 2
MCQ (Single Correct Answer)
+1
-0.33

When a simply-supported elastic beam of span L and flexural rigidity EI (E is the modulus of elasticity and I is the moment of inertia of the section) is loaded with a uniformly distributed load w per unit length, the deflection at the mid-span is

$\rm \Delta_0=\frac{5}{384}\frac{wL^4}{El}$

If the load on one half of the span is now removed, the mid-span deflection _______.

A
reduces to Δ0/2 
B
reduces to a value less than Δ0/2
C
reduces to a value greater than Δ0/2
D
remains unchanged at Δ0
2
GATE CE 1992
MCQ (Single Correct Answer)
+1
-0.3
In a real beam, at an end, the boundary condition of zero slope and zero vertical displacement exists. In the corresponding conjugate beam, the boundary conditions at this end will be:
A
Shear force $$=0$$ and bending moment $$=0$$
B
Slope $$=0$$ and vertical displacement $$=0$$
C
Slope = $$0$$ and bending moment $$=0$$
D
Shear force $$=0$$ and vertical displacement $$=0$$
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