1
GATE CE 2013
Numerical
+2
-0
A uniform beam ($$EI=$$ constant) $$PQ$$ in the form of a quarter-circle of radius $$R$$ is fixed at end $$P$$ and free at the end $$Q,$$ where a load $$W$$ is applied as shown. The vertical downward displacement, $${\delta _q},$$ at the loaded point $$Q$$ is given by : $${\delta _q} = \beta \left( {{{W{R^3}} \over {EI}}} \right).$$

Find the value of $$\beta $$(correct to $$4-$$decimal places). _____________________

GATE CE 2013 Structural Analysis - Energy Principle Question 6 English
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2
GATE CE 2013
Numerical
+2
-0
All members in the rigid-jointed frame shown are prismatic and have the same flexural stiffness $$EI$$. Find the magnitude of the bending moment at $$Q$$ (in ݇ܰ݉$$kN$$-$$m$$) due to the given loading _______________ GATE CE 2013 Structural Analysis - Moment Distribution Method Question 18 English
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3
GATE CE 2013
MCQ (Single Correct Answer)
+1
-0.3
As per $$IS$$ $$800:2007$$ the cross-section in which the extreme fiber can reach the yield stress, but cannot develop the plastic moment of resistance due to failure by local buckling is classified as
A
Plastic section
B
Compact section
C
Semi compact section
D
Shear section
4
GATE CE 2013
Numerical
+2
-0
A propped cantilever made of a prismatic steel beam is subjected to a concentrated load $$P$$ at mid span as shown. GATE CE 2013 Structural Analysis - Plastic Analysis Question 21 English

If the magnitude of loadܲ is increased till collapse and the plastic moment carrying capacity of steel beam section is $$90$$ $$kN$$-$$m$$, ݇ܰ݉determine reaction ܴ$$R$$(in ݇ܰ$$kN$$)(correct to $$1$$-decimal place) using plastic analysis. ____________

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