1
GATE CE 2016 Set 1
MCQ (Single Correct Answer)
+2
-0.6
Two beams $$PQ$$ (fixed at $$P$$ and with a roller support at $$Q,$$ as shown in Figure $$I,$$ which allows vertical movement) and $$XZ$$ (with a hinge at $$Y$$) are shown in the Figures $$I$$ and $$II$$ respectively. The spans of $$PQ$$ and $$XZ$$ are L and $$2L$$ respectively. Both the beams are under the action of uniformly distributed load $$(W)$$ and have the same flexural stiffness, $$EI$$ (where, $$E$$ and $$I$$ respectively denote modulus of elasticity and moment of inertia about axis of bending). Let the maximum deflection and maximum rotation be $${\delta _{\max 1}}$$ and $${\theta _{\max 1}},$$ respectively, in the case of beam $$PQ$$ and the corresponding quantities for the beam $$XZ$$ be $${\delta _{\max 2}}$$ and $${\theta _{\max 2}},$$ respectively. GATE CE 2016 Set 1 Structural Analysis - Slope Deflection Method Question 3 English 1 GATE CE 2016 Set 1 Structural Analysis - Slope Deflection Method Question 3 English 2

Which one of the following relationships is true?

A
$${\delta _{\max 1}} \ne {\delta _{\max 2}}$$ and $${\theta _{\max 1}} \ne {\theta _{\max 2}}$$
B
$${\delta _{\max 1}} = {\delta _{\max 2}}$$ and $${\theta _{\max 1}} \ne {\theta _{\max 2}}$$
C
$${\delta _{\max 1}} \ne {\delta _{\max 2}}$$ and $${\theta _{\max 1}} = {\theta _{\max 2}}$$
D
$${\delta _{\max 1}} = {\delta _{\max 2}}$$ and $${\theta _{\max 1}} = {\theta _{\max 2}}$$
2
GATE CE 2016 Set 1
MCQ (Single Correct Answer)
+2
-0.6
A propped cantilever of span $$L$$ carries a vertical concentrated load at the mid-span. If the plastic moment capacity of the section is $${M_P}$$, the magnitude of the collapse load is
A
$${{8{M_P}} \over L}$$
B
$${{6{M_P}} \over L}$$
C
$${{4{M_P}} \over L}$$
D
$${{2{M_P}} \over L}$$
3
GATE CE 2016 Set 1
MCQ (Single Correct Answer)
+2
-0.6
A plane truss with applied loads is shown in the figure. GATE CE 2016 Set 1 Structural Analysis - Truss Question 6 English

The members which do not carry any force are

A
$$FT,\,\,TG,\,\,HU,\,\,MP,\,\,PL$$
B
$$ET,\,\,GS,\,\,UR,\,\,VR,\,\,QL$$
C
$$FT,\,\,GS,\,\,HU,\,\,MP,\,\,QL$$
D
$$MP,\,\,PL,\,\,HU,\,\,FT,\,\,UR$$
4
GATE CE 2016 Set 1
MCQ (Single Correct Answer)
+1
-0.3
Consider the plane truss with load $$P$$ as shown in the figure. Let the horizontal and vertical reactions at the joint $$B$$ be $$HB$$ and $${V_B},$$ respectively and $${V_C}$$ be the vertical reaction at the joint $$C.$$ GATE CE 2016 Set 1 Structural Analysis - Truss Question 8 English

Which one of the following sets gives the correct values of $${V_B},\,\,{H_B}$$ and $${V_C}$$?

A
$${V_B} = 0;\,\,{H_B} = 0;\,\,{V_C} = P$$
B
$${V_B} = P/2;\,\,{H_B} = 0;\,\,{V_C} = P/2$$
C
$${V_B} = P/2;\,\,{H_B} = P\left( {\sin \,{{60}^ \circ }} \right);\,\,{V_C} = P/2$$
D
$${V_B} = P;\,\,{H_B} = P\left( {\cos \,{{60}^ \circ }} \right);\,\,{V_C} = 0$$
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