GATE ME topic:solid-mechanics PYQs & Answers — Page 7

Questions 61–70 of 90. Imported answers require independent review unless marked reviewed.

A plane-strain compression (forging) of a block is shown in the figure. The strain in the z-direction is zero. The yield strength (

) in uniaxial tension/compression of the material of the block is 300 MPa and it follows the Tresca (maximum shear stress) criterion. Assume that the entire block has started yielding. At a point where

MPa (compressive) and

, the stress component

Diagram for Mechanical Engineering question 34

Your answerChoose one option.

340 MPa (compressive)

340 MPa (tensile)

260 MPa (compressive)

260 MPa (tensile)

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A horizontal cantilever beam of circular cross-section, length 1.0 m and flexural rigidity

is subjected to an applied moment

at the free end as shown in the figure.

Diagram for Mechanical Engineering question 37

The magnitude of the vertical deflection of the free end is ______ mm (round off to one decimal place).

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Consider an elastic straight beam of length

m, with square cross-section of side

mm, and Young’s modulus

GPa. This straight beam was bent in such a way that the two ends meet, to form a circle of mean radius

. Assuming that Euler-Bernoulli beam theory is applicable to this bending problem, the maximum tensile bending stress in the bent beam is ______ MPa.

Diagram for Mechanical Engineering question 39

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Consider a prismatic straight beam of length

m, pinned at the two ends as shown in the figure.

Diagram for Mechanical Engineering question 40

The beam has a square cross-section of side

mm. The Young’s modulus

GPa, and the coefficient of thermal expansion

. The minimum temperature rise required to cause Euler buckling of the beam is ______ K.

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In a UTM experiment, a sample of length 100 mm, was loaded in tension until failure. The failure load was 40 kN. The displacement, measured using the cross-head motion, at failure, was 15 mm. The compliance of the UTM is constant and is given by

m/N. The strain at failure in the sample is ______ %.

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At a critical point in a component, the state of stress is given as

MPa,

MPa and all other stress components are zero. The yield strength of the material is 468 MPa. The factor of safety on the basis of maximum shear stress theory is ______ (round off to one decimal place).

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The minimum axial compressive load,

, required to initiate buckling for a pinned-pinned slender column with bending stiffness

and length

Your answerChoose one option.

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If σ₁ and σ₃ are the algebraically largest and smallest principal stresses respectively, the value of the maximum shear stress is

Your answerChoose one option.

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In a linearly hardening plastic material, the true stress beyond initial yielding

Your answerChoose one option.

increases linearly with the true strain

decreases linearly with the true strain

first increases linearly and then decreases linearly with the true strain

remains constant

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A steel column of rectangular section (15 mm × 10 mm) and length 1.5 m is simply supported at both ends. Assuming modulus of elasticity, E = 200 GPa for steel, the critical axial load (in kN) is ____ (correct to two decimal places).

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GATE ME topic:solid-mechanics PYQs

Question 34

Question 37

Question 39

Question 40

Question 41

Question 42

Question 5

Question 6

Question 11

Question 19