Test: Slope & Deflection Level - 2 - Mechanical Engineering MCQ

# Test: Slope & Deflection Level - 2 - Mechanical Engineering MCQ

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

Test: Slope & Deflection Level - 2 for Mechanical Engineering 2024 is part of Strength of Materials (SOM) preparation. The Test: Slope & Deflection Level - 2 questions and answers have been prepared according to the Mechanical Engineering exam syllabus.The Test: Slope & Deflection Level - 2 MCQs are made for Mechanical Engineering 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Slope & Deflection Level - 2 below.
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Test: Slope & Deflection Level - 2 - Question 1

### For the beam shown in the figure, the elastic curve between the supports B and C will be

Detailed Solution for Test: Slope & Deflection Level - 2 - Question 1

Between B and C, BMD is a straight line BM = Constant

Now,

⇒ R = Constant Means curve of constant radius.

Hence, circular.

Test: Slope & Deflection Level - 2 - 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

Detailed Solution for Test: Slope & Deflection Level - 2 - Question 2

= 0.05m = 50mm

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Test: Slope & Deflection Level - 2 - 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

Detailed Solution for Test: Slope & Deflection Level - 2 - Question 3

δ1 =

δ2 =

δ3 = δ1 − δ2 =

=

Test: Slope & Deflection Level - 2 - 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

Detailed Solution for Test: Slope & Deflection Level - 2 - Question 4

Deflection at free end, δ = = 15 mm

Slope at free end, θ = = 0.02

∴ From the two

L = 1 m

Test: Slope & Deflection Level - 2 - 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

Detailed Solution for Test: Slope & Deflection Level - 2 - Question 5

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

Test: Slope & Deflection Level - 2 - 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

Detailed Solution for Test: Slope & Deflection Level - 2 - Question 6
δ =

= = 1.309cm

Test: Slope & Deflection Level - 2 - 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

Detailed Solution for Test: Slope & Deflection Level - 2 - Question 7

Maximum deflection of beam A,

Maximum deflection of beam B,

yB =

=

Test: Slope & Deflection Level - 2 - 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

Detailed Solution for Test: Slope & Deflection Level - 2 - Question 8
The load is closer to right support; the slope is max at right.

Test: Slope & Deflection Level - 2 - 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

Detailed Solution for Test: Slope & Deflection Level - 2 - Question 9
y1 = = 12.5%
Test: Slope & Deflection Level - 2 - 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

Detailed Solution for Test: Slope & Deflection Level - 2 - Question 10
Test: Slope & Deflection Level - 2 - 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

Detailed Solution for Test: Slope & Deflection Level - 2 - Question 11

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

Test: Slope & Deflection Level - 2 - 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

Detailed Solution for Test: Slope & Deflection Level - 2 - Question 12

Maximum deflection (y) =

=

= 2.5mm

Test: Slope & Deflection Level - 2 - 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

Detailed Solution for Test: Slope & Deflection Level - 2 - Question 13
δA =

δB =

=

=

=

Test: Slope & Deflection Level - 2 - Question 14

A loaded cantilever beam is shown below. The maximum deflection in the beam is

Detailed Solution for Test: Slope & Deflection Level - 2 - Question 14
δ =

=

=

Test: Slope & Deflection Level - 2 - 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

Detailed Solution for Test: Slope & Deflection Level - 2 - Question 15

ymax =

=

ymax =

ymax =

ymax =

=

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## Strength of Materials (SOM)

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