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English SSC CGL Tier I papers. Free 60-minute mocks, 100 questions, 200 marks; +2 correct and −0.5 incorrect. Source: SSC response sheets preserved by SSC Portal. The marked archived keys have not been independently revalidated against final SSC keys; worked explanations are pending review. A/B/C/D correspond to source options 1/2/3/4.

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Question 1 · Mechanical Engineering (SSC JE) · Strength of Materials
Hooke’s law is valid up to the
Choose your answer for question 1
Answer and explanation

Correct answer: C

Stress is proportional to strain only up to the proportional limit.

Question 2 · Mechanical Engineering (SSC JE) · Strength of Materials
The modulus of elasticity of mild steel is about
Choose your answer for question 2
Answer and explanation

Correct answer: B

Steel is about 200 GPa, aluminium about 70 GPa and cast iron around 100 GPa.

Question 3 · Mechanical Engineering (SSC JE) · Strength of Materials
A 20 mm diameter rod carries an axial pull of 100 kN. The stress developed is about
Choose your answer for question 3
Answer and explanation

Correct answer: D

A = π × 20²/4 = 314.2 mm². σ = 100 000 / 314.2 = 318.3 MPa.

Question 4 · Mechanical Engineering (SSC JE) · Strength of Materials
For brittle materials, the most suitable theory of failure is
Choose your answer for question 4
Answer and explanation

Correct answer: D

Brittle materials fail by fracture when the largest principal stress reaches the ultimate strength, as the Rankine theory assumes.

Question 5 · Mechanical Engineering (SSC JE) · Strength of Materials
In the Brinell hardness test, the indenter is
Choose your answer for question 5
Answer and explanation

Correct answer: B

Brinell uses a ball. Vickers uses a diamond pyramid and Rockwell C uses a diamond cone.

Question 6 · Mechanical Engineering (SSC JE) · Strength of Materials
A simply supported beam of span 4 m carries a central point load of 10 kN. The maximum bending moment is
Choose your answer for question 6
Answer and explanation

Correct answer: B

M = WL/4 = 10 × 4 / 4 = 10 kN·m.

Question 7 · Mechanical Engineering (SSC JE) · Strength of Materials
A point of contraflexure on a beam is a point where
Choose your answer for question 7
Answer and explanation

Correct answer: D

At such a point the beam changes from sagging to hogging, and the moment is usually zero.

Question 8 · Mechanical Engineering (SSC JE) · Strength of Materials
In a thin cylindrical shell under internal pressure, the ratio of hoop stress to longitudinal stress is
Choose your answer for question 8
Answer and explanation

Correct answer: C

σh = pd/2t and σl = pd/4t, so the ratio is 2.

Question 9 · Mechanical Engineering (SSC JE) · Strength of Materials
Charpy and Izod impact tests measure
Choose your answer for question 9
Answer and explanation

Correct answer: A

The energy absorbed by a notched specimen when it breaks is a measure of toughness.

Question 10 · Mechanical Engineering (SSC JE) · Strength of Materials
The factor of safety based on the ultimate strength is the ratio of
Choose your answer for question 10
Answer and explanation

Correct answer: B

FOS = σu/σw. Ductile materials are often based on yield stress instead.

Question 11 · Mechanical Engineering (SSC JE) · Strength of Materials
A material has E = 200 GPa and Poisson’s ratio 0.25. The modulus of rigidity is
Choose your answer for question 11
Answer and explanation

Correct answer: B

G = E / [2(1 + ν)] = 200 / 2.5 = 80 GPa.

Question 12 · Mechanical Engineering (SSC JE) · Strength of Materials
A steel bar and a copper bar, each of area 100 mm², share a total axial load of 30 kN in parallel (Es = 200 GPa, Ec = 100 GPa). The load carried by the steel is
Choose your answer for question 12
Answer and explanation

Correct answer: D

Both bars have the same strain, so the loads share in proportion to AE: 2 : 1. Steel takes 2/3 × 30 = 20 kN.

Question 13 · Mechanical Engineering (SSC JE) · Strength of Materials
The maximum deflection of a simply supported beam of span L carrying a uniformly distributed load w per unit length is
Choose your answer for question 13
Answer and explanation

Correct answer: B

The standard result for a full span UDL on a simply supported beam is 5wL⁴/384EI. The value wL⁴/8EI is for a cantilever.

Question 14 · Mechanical Engineering (SSC JE) · Strength of Materials
Two solid shafts of the same material and length have diameters in the ratio 2 : 1. The ratio of the torques they can transmit at the same maximum shear stress is
Choose your answer for question 14
Answer and explanation

Correct answer: C

T = π τ d³ / 16, so T ∝ d³, giving 2³ : 1 = 8 : 1.

Question 15 · Mechanical Engineering (SSC JE) · Strength of Materials
At a point, σx = 100 MPa, σy = 0 and τxy = 50 MPa. The maximum principal stress is
Choose your answer for question 15
Answer and explanation

Correct answer: A

σ1 = (σx + σy)/2 + √[((σx − σy)/2)² + τ²] = 50 + √(2500 + 2500) = 50 + 70.7 = 120.7 MPa.

Question 16 · Mechanical Engineering (SSC JE) · Strength of Materials
Euler’s buckling formula is valid for
Choose your answer for question 16
Answer and explanation

Correct answer: C

For short columns the Euler load would exceed the crushing load. Rankine’s or Johnson’s formulae are used for intermediate columns.

Question 17 · Mechanical Engineering (SSC JE) · Strength of Materials
A suddenly applied load produces a stress in a bar that is
Choose your answer for question 17
Answer and explanation

Correct answer: D

The load does work P δ, which equals the strain energy stored, ½ σ A δ. Hence σ = 2P/A.

Question 18 · Mechanical Engineering (SSC JE) · Strength of Materials
Creep is the slow plastic deformation of a material under
Choose your answer for question 18
Answer and explanation

Correct answer: B

It becomes significant above about 0.4 times the absolute melting temperature, as in turbine blades and boiler tubes.

Question 19 · Mechanical Engineering (SSC JE) · Strength of Materials
A rectangular beam of width 100 mm and depth 200 mm carries a bending moment of 20 kN·m. The maximum bending stress is
Choose your answer for question 19
Answer and explanation

Correct answer: D

Z = bd²/6 = 100 × 200² / 6 = 666 667 mm³. σ = M/Z = 20 × 10⁶ / 666 667 = 30 MPa.

Question 20 · Mechanical Engineering (SSC JE) · Strength of Materials
A solid shaft of diameter 50 mm transmits a torque of 1 kN·m. The maximum shear stress is about
Choose your answer for question 20
Answer and explanation

Correct answer: B

τ = 16T / (πd³) = 16 × 10⁶ / (π × 125 000) = 40.7 MPa.

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