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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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Civil Engineering (SSC JE)

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Question 1 · Civil Engineering (SSC JE) · Strength of Materials and Structural Analysis
The relation between modulus of elasticity E, modulus of rigidity G and Poisson’s ratio ν is
Choose your answer for question 1
Answer and explanation

Correct answer: D

For an isotropic material E = 2G(1 + ν) = 3K(1 − 2ν).

Question 2 · Civil Engineering (SSC JE) · Strength of Materials and Structural Analysis
The maximum bending moment in a simply supported beam of span L carrying a uniformly distributed load w per unit length is
Choose your answer for question 2
Answer and explanation

Correct answer: C

The maximum moment occurs at midspan, where the shear force is zero, and equals wL²/8.

Question 3 · Civil Engineering (SSC JE) · Strength of Materials and Structural Analysis
The maximum deflection of a cantilever of length L and flexural rigidity EI carrying a point load W at its free end is
Choose your answer for question 3
Answer and explanation

Correct answer: C

Integrating the moment curvature relation for a cantilever gives a tip deflection of WL³/3EI.

Question 4 · Civil Engineering (SSC JE) · Strength of Materials and Structural Analysis
The moment of inertia of a rectangular section of width b and depth d about its centroidal axis parallel to the width is
Choose your answer for question 4
Answer and explanation

Correct answer: C

Ixx = bd³/12 about the centroidal axis. The value bd³/3 is about the base.

Question 5 · Civil Engineering (SSC JE) · Strength of Materials and Structural Analysis
Euler’s crippling load for a column of length L, hinged at both ends, is
Choose your answer for question 5
Answer and explanation

Correct answer: C

For a pin-ended column the effective length equals L, so the buckling load is π²EI/L².

Question 6 · Civil Engineering (SSC JE) · Strength of Materials and Structural Analysis
The section modulus of a solid circular section of diameter d is
Choose your answer for question 6
Answer and explanation

Correct answer: B

Z = I/y = (πd⁴/64)/(d/2) = πd³/32.

Question 7 · Civil Engineering (SSC JE) · Strength of Materials and Structural Analysis
A propped cantilever beam is statically indeterminate to the degree of
Choose your answer for question 7
Answer and explanation

Correct answer: D

It has four reaction components (three at the fixed end, one at the prop) against three equilibrium equations in a plane, so the degree is one.

Question 8 · Civil Engineering (SSC JE) · Strength of Materials and Structural Analysis
For a simply supported beam carrying a uniformly distributed load over its full span, the bending moment diagram is a
Choose your answer for question 8
Answer and explanation

Correct answer: A

Shear force varies linearly, so the bending moment, which is the integral of shear force, is a parabola.

Question 9 · Civil Engineering (SSC JE) · Strength of Materials and Structural Analysis
The maximum shear stress in a rectangular beam section is
Choose your answer for question 9
Answer and explanation

Correct answer: C

For a rectangle τmax = 3V/2bd = 1.5 τavg at the neutral axis. A circular section gives 4/3.

Question 10 · Civil Engineering (SSC JE) · Strength of Materials and Structural Analysis
The polar moment of inertia of a solid circular shaft of diameter d is
Choose your answer for question 10
Answer and explanation

Correct answer: D

J = Ixx + Iyy = 2 × πd⁴/64 = πd⁴/32.

Question 11 · Civil Engineering (SSC JE) · Strength of Materials and Structural Analysis
In the simple bending equation M/I = σ/y = E/R, the symbol R represents
Choose your answer for question 11
Answer and explanation

Correct answer: D

R is the radius to which the neutral surface bends. The curvature 1/R equals M/EI.

Question 12 · Civil Engineering (SSC JE) · Strength of Materials and Structural Analysis
Lami’s theorem is applicable when
Choose your answer for question 12
Answer and explanation

Correct answer: B

Lami’s theorem states that each of three concurrent coplanar forces in equilibrium is proportional to the sine of the angle between the other two.

Question 13 · Civil Engineering (SSC JE) · Strength of Materials and Structural Analysis
The strain energy stored per unit volume in a bar stressed to σ within the elastic limit is
Choose your answer for question 13
Answer and explanation

Correct answer: C

Energy per unit volume is ½ × stress × strain = ½ σ (σ/E) = σ²/2E (the modulus of resilience when σ is the elastic limit).

Question 14 · Civil Engineering (SSC JE) · Strength of Materials and Structural Analysis
The maximum central deflection of a simply supported beam of span L carrying a central point load W is
Choose your answer for question 14
Answer and explanation

Correct answer: B

The standard result for a simply supported beam with a central point load is δ = WL³/48EI. The value 5wL⁴/384EI is for a full span UDL.

Question 15 · Civil Engineering (SSC JE) · Strength of Materials and Structural Analysis
A cantilever of length 3 m carries a uniformly distributed load of 4 kN/m over the full length. The maximum bending moment is
Choose your answer for question 15
Answer and explanation

Correct answer: B

M = wL²/2 = 4 × 9 / 2 = 18 kN·m at the fixed end.

Question 16 · Civil Engineering (SSC JE) · Strength of Materials and Structural Analysis
A simply supported beam of span 6 m carries a point load of 12 kN at 2 m from the left support. The maximum bending moment is
Choose your answer for question 16
Answer and explanation

Correct answer: A

RA = 12 × 4 / 6 = 8 kN. The maximum moment is under the load: 8 × 2 = 16 kN·m.

Question 17 · Civil Engineering (SSC JE) · Strength of Materials and Structural Analysis
At a point in a body, σx = 80 MPa, σy = 40 MPa and τxy = 0. The maximum in-plane shear stress is
Choose your answer for question 17
Answer and explanation

Correct answer: C

τmax = (σ1 − σ2)/2 = (80 − 40)/2 = 20 MPa.

Question 18 · Civil Engineering (SSC JE) · Strength of Materials and Structural Analysis
A steel bar fixed rigidly at both ends is heated by 50 °C. Take α = 12 × 10⁻⁶ per °C and E = 200 GPa. The thermal stress developed is
Choose your answer for question 18
Answer and explanation

Correct answer: C

σ = α ΔT E = 12 × 10⁻⁶ × 50 × 200 × 10³ MPa = 120 MPa (compressive).

Question 19 · Civil Engineering (SSC JE) · Strength of Materials and Structural Analysis
A shaft transmits 100 kW at 600 rpm. The torque transmitted is approximately
Choose your answer for question 19
Answer and explanation

Correct answer: D

T = 60 P / (2πN) = 60 × 100 000 / (2π × 600) ≈ 1591.5 N·m.

Question 20 · Civil Engineering (SSC JE) · Strength of Materials and Structural Analysis
The Euler buckling load of a column fixed at both ends, compared to the same column hinged at both ends, is
Choose your answer for question 20
Answer and explanation

Correct answer: C

Effective length is L/2 for fixed-fixed, so Pcr = π²EI / (L/2)² = 4π²EI/L².

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