GATE ME 2014 Set 2 | Deflection of Beams Question 6 | Strength of Materials

GATE ME 2014 Set 2

MCQ (Single Correct Answer)

-0.6

A cantilever beam of length, $$L,$$ with uniform cross-section and flexural rigidity $$ EI,$$ is loaded uniformly by a vertical load, $$w$$ per unit length. The maximum vertical deflection of the beam is given by

$${{w{L^4}} \over {8EI}}$$

$${{w{L^4}} \over {16EI}}$$

$${{w{L^4}} \over {4EI}}$$

$${{w{L^4}} \over {24EI}}$$

GATE ME 2014 Set 2

MCQ (Single Correct Answer)

-0.6

The flexural rigidity $$(EI)$$ of a cantilever beam is assumed to be constant over the length of the beam as shown in figure. If a load $$P$$ and bending moment $$PL/2$$ are applied at the free end of the beam then the value of the slope at the free end is GATE ME 2014 Set 2 Strength of Materials - Deflection of Beams Question 11 English

GATE ME 2014 Set 2 Strength of Materials - Deflection of Beams Question 11 English

$${1 \over 2}$$ $${{P{L^2}} \over {EI}}$$

$${{P{L^2}} \over {EI}}$$

$${3 \over 2}$$ $${{P{L^2}} \over {EI}}$$

$${5 \over 2}$$ $${{P{L^2}} \over {EI}}$$

GATE ME 2014 Set 4

MCQ (Single Correct Answer)

-0.6

A frame is subjected to a load $$P$$ as shown in the figure. The frame has a constant flexural rigidity $$EI$$. The effect of axial load is neglected. The deflection at point $$A$$ due to the applied load $$P$$ is GATE ME 2014 Set 4 Strength of Materials - Deflection of Beams Question 8 English

GATE ME 2014 Set 4 Strength of Materials - Deflection of Beams Question 8 English

$${1 \over 3}\,{{P{L^3}} \over {EI}}$$

$${2 \over 3}\,{{P{L^3}} \over {EI}}$$

$${{P{L^3}} \over {EI}}$$

$${4 \over 3}\,{{P{L^3}} \over {EI}}$$

GATE ME 2014 Set 3

MCQ (Single Correct Answer)

-0.6

A force $$P$$ is applied at a distance $$x$$ from the end of the beam as shown in the figure. What would be the value of $$x$$ so that the displacement at $$'A'$$ is equal to zero? GATE ME 2014 Set 3 Strength of Materials - Deflection of Beams Question 9 English