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# Test: Slope & Deflection Level - 2

## 15 Questions MCQ Test Strength of Materials (SOM) | Test: Slope & Deflection Level - 2

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This mock test of Test: Slope & Deflection Level - 2 for Mechanical Engineering helps you for every Mechanical Engineering entrance exam. This contains 15 Multiple Choice Questions for Mechanical Engineering Test: Slope & Deflection Level - 2 (mcq) to study with solutions a complete question bank. The solved questions answers in this Test: Slope & Deflection Level - 2 quiz give you a good mix of easy questions and tough questions. Mechanical Engineering students definitely take this Test: Slope & Deflection Level - 2 exercise for a better result in the exam. You can find other Test: Slope & Deflection Level - 2 extra questions, long questions & short questions for Mechanical Engineering on EduRev as well by searching above.
QUESTION: 1

### For the beam shown in the figure, the elastic curve between the supports B and C will be  Between B and C, BMD is a straight line BM = Constant

Now,  ⇒ R = Constant Means curve of constant radius.

Hence, circular.

QUESTION: 2

### The maximum deflection of a cantilever of 10.0 m span, an EI = 200.0MN/m2 subjected to a distributed load of 8.0 kN/m is

Solution: = 0.05m = 50mm

QUESTION: 3

### A cantilever of length (L) carries a distributed load whose intensity varies uniformly from zero at the fixed end to ‘w’ per unit length at the free end. The deflection at the free end will be

Solution: δ1 =  δ2 =  δ3 = δ1 − δ2 = = QUESTION: 4

If the deflection at the free end of a uniformly loaded cantilever beam is 15 mm and the slope of the deflection curve at the free end is 0.02 radian. then the length of the beam is

Solution: Deflection at free end, δ = = 15 mm

Slope at free end, θ = = 0.02

∴ From the two L = 1 m

QUESTION: 5

A cantilever beam of uniform cross-section and length L is subjected to upward force W at mid-span and downward force P at the free end. For the deflection to be zero at the free end. W and P are related by

Solution: Deflection at free end due to load, p = Deflection at free end due to support load W ∴ The deflection at free end is zero W = 16/5P

QUESTION: 6

The slope at the free end of a cantilever of length 1 m is 1°. If the cantilever carries uniformly distributed load over the whole length then the deflection at the free end will be

Solution: δ = = = 1.309cm

QUESTION: 7

A simply supported beam 'A' of length L carries a central point load W. Another beam 'B' is loaded with a uniformly distributed load such that the total load on the beam is W. The ratio of maximum deflections between the beams A and B is

Solution:  Maximum deflection of beam A, Maximum deflection of beam B,

yB =  = QUESTION: 8

A simply supported beam of span 4m subjected to a point load of 4 kN at a distance of 3m from the left support. The maximum slope occurs

Solution: The load is closer to right support; the slope is max at right. QUESTION: 9

If the depth of a simply supported rectangular beam subjected to concentric load at the Centre is doubled, the deflection at the Centre will be reduced to

Solution: y1 = = 12.5%
QUESTION: 10

A simply supported rectangular beam of span L and depth d carries a central load W, modulus of elasticity is E, the ratio of maximum deflection to maximum bending stress is

Solution: QUESTION: 11

A cantilever of span L subjected to uniformly distributed gravity loading w/m is subjected to an upward force P at a distance L/2 from the free end. If the deflection at the free end of the beam is zero, (wL/P) is

Solution: Deflection at free end due to vertical load

δ1 = Deflection at free end due to support P

δ2 = = ∴ Deflection at free end is zero  = 0.83

QUESTION: 12

A simply supported beam of 10m span is carrying a load of 4.8kN at mid-span. If Young's modulus of elasticity (E) is 2 x 108 kN/m2 and moment of inertia (I) is 20 cm4 , then the maximum deflection will be

Solution:

Maximum deflection (y) = = = 2.5mm

QUESTION: 13

Two cantilever beams A and B are shown in the figure. The ratio of maximum deflections of beam A to the beam B is  Solution: δA = δB = = = =  QUESTION: 14

A loaded cantilever beam is shown below. The maximum deflection in the beam is Solution: δ = = = QUESTION: 15

A cantilever of length ‘L’ carries a uniformly distributed load of ‘w’ per unit of span over the outer half. The maximum deflection is

Solution: ymax = = ymax =  ymax =  ymax = = 