Test: Solid Mechanics- 1


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10 Questions MCQ Test GATE Civil Engineering (CE) 2023 Mock Test Series | Test: Solid Mechanics- 1

Test: Solid Mechanics- 1 for Civil Engineering (CE) 2022 is part of GATE Civil Engineering (CE) 2023 Mock Test Series preparation. The Test: Solid Mechanics- 1 questions and answers have been prepared according to the Civil Engineering (CE) exam syllabus.The Test: Solid Mechanics- 1 MCQs are made for Civil Engineering (CE) 2022 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Solid Mechanics- 1 below.
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Test: Solid Mechanics- 1 - Question 1

In the tension test of a bar the fractured surface shows a truncated cone, the material may be:

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Test: Solid Mechanics- 1 - Question 2

In the engineering stress-strain curve for mild steel, the Ultimate Tensile Strength (UTS) refers to

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The engineering stress-strain curve for mild steel is

Ultimate tensile strength represents the maximum stress that a material can withstand without Fracture.

Test: Solid Mechanics- 1 - Question 3

_______ is the capacity of material to absorb energy when it is elastically deformed and then upon unloading, to have this energy recovered.

Detailed Solution for Test: Solid Mechanics- 1 - Question 3

Resilience: It is energy absorbed by a member in elastic region. It denotes the capacity of material to absorb energy when it is elastically deformed and then upon unloading, to release this energy.

Toughness: It is energy absorbed by member just before its fracture.

Test: Solid Mechanics- 1 - Question 4

The shear modulus of a material is half of its Young’s modulus. What is the value of its Poisson’s ratio?

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It is given that the shear modulus is half of Young's modulus and the relationship between shear modulus (G) and poisson's ratio (E) is given as follows:

Test: Solid Mechanics- 1 - Question 5

A mild steel wire is 10 mm in diameter and 1 m long. If the wire is subjected to an axial tensile load 10 kN, find an extension of the road (Take E = 200 × 10Pa) :

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The formula for extension is given as follows where, P = load , L = length, A = area and E = 200 x 109 Pa. Substituting values of P,L,A and E.

Test: Solid Mechanics- 1 - Question 6

The ratio of strengths of solid to hollow shafts, both having outside diameter D and hollow having inside diameter D/2, in torsion, is

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Test: Solid Mechanics- 1 - Question 7

A simply supported beam is subjected to a uniformly distributed load. Which one of the following statements is true?

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For section AB

For equilibrium, ∑M0 = 0

Test: Solid Mechanics- 1 - Question 8

A steel plate of side ‘a’ (2d) is enclosed in a closely fitting rigid support as shown. Assume friction between plate and support is zero. Determine the free expansion in x - direction of the plate due to heating by ΔT – (Poison ratio is μ & thermal co - eff. α)

Detailed Solution for Test: Solid Mechanics- 1 - Question 8

σx = 0
σy = −αTE
εy = −αT
εx = −με= μαT = δa/a
ϵx = Free expansion due to temperature change + Expansion due to lateral strain

= a α Δ T + μ a α Δ T (due to y direction)

= a α Δ T (1 + μ)

 

*Answer can only contain numeric values
Test: Solid Mechanics- 1 - Question 9

For a cylindrical bar of 30 mm dia& 900 mm length, during a tension test, it is found that longitudinal strain is 4 times of lateral strain. The bulk modulus for the bar is (X) × 105 N/mm2  (if E = 3 × 105 N/mm2) The value if X is ___________


Detailed Solution for Test: Solid Mechanics- 1 - Question 9

E = 3 × 105 N/mm2 & E = 3k (1 – 2μ).....(1)
From (1) we get K = E/3(1−2μ) [∴μ=0.25 given]
put μ=0.25 in equation 1,we get
k=2*105N/mm2.

Test: Solid Mechanics- 1 - Question 10

A cantilever beam has the cross-section of an isosceles triangle and is loaded as shown in figure. If the moment of inertia of the cross-section Izz = 1/36m4, then the maximum bending stress is

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