1
GATE CE 2004
MCQ (Single Correct Answer)
+2
-0.6
A three-span continuous beam has an internal hinge at $$B.$$ Section $$B$$ is at the mid-span of $$A.C.$$ Section $$E$$ is at the mid-span of $$CG$$. The $$20$$ $$kN$$ load is applied at section $$B$$ whereas $$10$$ $$kN$$ loads are applied at sections $$D$$ and $$F$$ as shown in the figure. Span $$GH$$ is subjected to uniformly distributed load of magnitude $$5$$ $$kN/m$$. For the loading shown, shear force immediate to the right of section $$E$$ is $$9.84$$ $$kN$$ upwards and the sagging moment at section $$E$$ is $$10.31$$ $$kN$$-$$m.$$ GATE CE 2004 Strength of Materials Or Solid Mechanics - Shear Force and Bending Moment Question 8 English

The magnitude of the shear force immediate to the left and immediate to the right of section $$B$$ are, respectively

A
$$0$$ and $$20$$ $$kN$$
B
$$10$$ $$kN$$ and $$10$$ $$kN$$
C
$$20$$ $$kN$$ and $$0$$
D
$$9.84$$ $$kN$$ and $$10.19$$ $$kN$$
2
GATE CE 2004
MCQ (Single Correct Answer)
+2
-0.6
A three-span continuous beam has an internal hinge at $$B.$$ Section $$B$$ is at the mid-span of $$A.C.$$ Section $$E$$ is at the mid-span of $$CG$$. The $$20$$ $$kN$$ load is applied at section $$B$$ whereas $$10$$ $$kN$$ loads are applied at sections $$D$$ and $$F$$ as shown in the figure. Span $$GH$$ is subjected to uniformly distributed load of magnitude $$5$$ $$kN/m$$. For the loading shown, shear force immediate to the right of section $$E$$ is $$9.84$$ $$kN$$ upwards and the sagging moment at section $$E$$ is $$10.31$$ $$kN$$-$$m.$$ GATE CE 2004 Strength of Materials Or Solid Mechanics - Shear Force and Bending Moment Question 7 English

The vertical reaction at support $$H$$ is

A
$$15$$ $$kN$$ upward
B
$$9.84$$ $$kN$$ upward
C
$$15$$ $$kN$$ downward
D
$$9.84$$ $$kN$$ downward
3
GATE CE 2004
MCQ (Single Correct Answer)
+1
-0.3
A homogeneous, simply supported prismatic beam of width $$B,$$ depth $$D$$ and span $$L$$ is subjected to a concentrated load of magnitude $$P.$$ The load can be placed anywhere along the span of the beams. The maximum flexural stress developed in beam is
A
$${2 \over 3}\,{{PL} \over {B{D^2}}}$$
B
$${3 \over 4}\,{{PL} \over {B{D^2}}}$$
C
$${4 \over 3}\,{{PL} \over {B{D^2}}}$$
D
$${3 \over 2}\,{{PL} \over {B{D^2}}}$$
4
GATE CE 2004
MCQ (Single Correct Answer)
+2
-0.6
A circular solid shaft of span $$L=5m$$ is fixed at one end and free at the other end. A twisting moment $$T=100$$ $$kN$$-$$m$$ is applied at the free end. The torsional rigidity $$GJ$$ per unit angular twist is $$50000$$ $$kN$$-$${m^2}/rad.$$ Following statements are made for this shaft:

$$1.$$ The maximum rotation is $$0.01$$ radius
$$2.$$ The torsional strain energy is $$1$$ $$kN$$-$$m.$$

With reference to the above statements, which of the following applies?

A
Both statements are true
B
Statement $$1$$ is true but $$2$$ is false
C
Statement $$2$$ is true but $$1$$ is false
D
Both the statements are false
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