GATE CE topic:solid-mechanics PYQs & Answers — Page 6

Questions 51–60 of 61. Imported answers require independent review unless marked reviewed.

A plate in equilibrium is subjected to uniform stress along its edges with magnitude

MPa and

MPa as shown in the figure.

Diagram for Civil Engineering question 29

The Young’s modulus of the material is 2×10

N/m

and the Poisson’s ratio is 0.3. If

is negligibly small and assumed to be zero, then the strain

Your answerChoose one option.

-120×10

-60×10

0.0

120×10

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

Four bolts P, Q, R and S of equal diameter are used for a bracket subjected to a load of 130 kN as shown in the figure.

Diagram for Civil Engineering question 30

The force in bolt P is

Your answerChoose one option.

32.50 kN

69.32 kN

82.50 kN

119.32 kN

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

An 8 m long simply-supported elastic beam of rectangular cross-section (100 mm × 200 mm) is subjected to a uniformly distributed load of 10 kN/m over its entire span. The maximum principal stress (in MPa, up to two decimal places) at a point located at the extreme compression edge of a cross-section and at 2 m from the support is ______

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

An elastic bar of length

, uniform cross sectional area

, coefficient of thermal expansion

, and Young’s modulus

is fixed at the two ends. The temperature of the bar is increased by

, resulting in an axial stress

. Keeping all other parameters unchanged, if the length of the bar is doubled, the axial stress would be

Your answerChoose one option.

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

In a material under a state of plane strain, a 10×10 mm square centered at a point gets deformed as shown in the figure.

Diagram for Civil Engineering question 16

If the shear strain

at this point is expressed as

(in rad), the value of

Your answerChoose one option.

0.50

0.25

−0.25

−0.50

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

Two prismatic beams having the same flexural rigidity of 1000 kN-m² are shown in the figures.

If the mid-span deflections of these beams are denoted by δ₁ and δ₂ (as indicated in the figures), the correct option is

Diagram for Civil Engineering question 31

Your answerChoose one option.

δ₁ = δ₂

δ₁ < δ₂

δ₁ > δ₂

δ₁ ≫ δ₂

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

Consider the three prismatic beams with the clamped supports P, Q, and R as shown in the figures.

Diagram for Civil Engineering question 32

Given that the modulus of elasticity, E is 2.5×10⁴ MPa; and the moment of inertia, I is 8×10⁸ mm⁴, the correct comparison of the magnitudes of the shear force S and the bending moment M developed at the supports is

Your answerChoose one option.

S_P < S_Q < S_R; M_P = M_Q = M_R

S_P = S_Q > S_R; M_P = M_Q > M_R

S_P < S_Q < S_R; M_P = M_Q = M_R

S_P < S_Q < S_R; M_P < M_Q < M_R

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

Consider the stepped bar made with a linear elastic material and subjected to an axial load of 1 kN, as shown in the figure.

Diagram for Civil Engineering question 39

Segments 1 and 2 have cross-sectional area of 100 mm

and 60 mm

, Young’s modulus of 2×10

MPa and 3×10

MPa, and length of 400 mm and 900 mm, respectively. The strain energy (in N-m, up to one decimal place) in the bar due to the axial load is

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

A hollow circular shaft has an outer diameter of 100 mm and inner diameter of 50 mm. If the allowable shear stress is 125 MPa, the maximum torque (in kN-m) that the shaft can resist is

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

Consider two axially loaded columns, namely, 1 and 2, made of a linear elastic material with Young’s modulus 2×10

MPa, square cross-section with side 10 mm, and length 1 m. For Column 1, one end is fixed and the other end is free. For Column 2, one end is fixed and the other end is pinned. Based on the Euler’s theory, the ratio (up to one decimal place) of the buckling load of Column 2 to the buckling load of Column 1 is

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

GATE CE topic:solid-mechanics PYQs

Question 29

Question 30

Question 38

Question 4

Question 16

Question 31

Question 32

Question 39

Question 39

Question 42