What is the exam pattern and passing mark for GTU Mechanics of Solids (3130608)?

The GTU theory examination carries 70 total marks with a duration of 2.5 Hours. Minimum passing criteria is 23 marks (33%). The paper consists of 5 main questions with official marking breakdown and internal choices.

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Gujarat Technological UniversitySummer 2026 examination

GTU 3130608 Mechanics of Solids Summer 2026 Question Paper & PDF

B.E. · Civil Engineering · Semester 3 · Subject code 3130608

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Total: 70 marks
To pass: 23 marks (33%)
Duration: 2.5 Hours 2:30 PM – 5:00 PM
Questions: 5 with internal choice

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Q.1

14 Marks

(a)

3 marks

Explain :

i)Type of beams

ii)Type of loading on the beams.

(b)

4 marks

Derive the relation, with usual notations, among loading, shear force and bending moment at a section for a determinate beam.

(c)

7 marks

Explain :(i) Principle of transmissibility,

ii)Principle of superposition

iii)Law of parallelogram of forces

Q.2

14 Marks

(a)

3 marks

Explain in brief Coplanar concurrent and non-concurrent force system.

(b)

4 marks

Define Point of contra flexure, point & magnitude of maximum bending moment, maximum shear force

(c)

7 marks

Enlist Assumptions and derive equation of bending.

(c)

7 marks

Calculate support reactions for the simply supported beam carrying point load W kN at the center of the span .Also plot Bending Moment and Shear Force diagrams showing values.

Q.3

14 Marks

(a)

3 marks

State and explain the Law of polygon of forces.

(b)

4 marks

From first principle obtain the location of center of gravity of semi-circular lamina.

(c)

7 marks

Derive equation of torsion.

(a)

3 marks

Define principal stresses and principal planes .

(b)

4 marks

Define:(i) Modulus of elasticity,

ii)Poisson’s ratio,

iii)Modulus of rigidity

iv)bulk modulus

(c)

7 marks

Explain Mohr’s circle of stress,

Q.4

14 Marks

(a)

3 marks

State and explain The Lami’s theorem.

(b)

4 marks

State and explain Pappus – Guldinus first and second theorems.

(c)

7 marks

Define following :

iMoment of inertia of a section,

iiPolar moment of inertia,

iiiRadius of gyration

ivSection Modulus

(a)

3 marks

Using first principle, obtain the distance of centroid of a right-angled triangular lamina from the base.

(b)

4 marks

State and explain Varignon’s principal of moments.

(c)

7 marks

A simply supported beam of span 4.0 m having uniform section of size 200 mm width and 400 mm depth is loaded with uniformly distributed load of 40 kN/m over entire span. Determine the maximum bending moment along the span and draw the bending stress distribution across the section.

Q.5

14 Marks

(a)

3 marks

State and explain Hook’s law.

(b)

4 marks

Explain Mohr’s circle method with neat sketch for a section subjected to direct stresses along two perpendicular directions.

(c)

7 marks

A solid shaft of 250 mm diameter has the same cross-sectional area as that of hollow shaft of the same material of inside diameter 200 mm. Find the ratio of power transmitted by the two shafts at same angular velocity. Also, compare angle of twist in equal lengths of these shafts when stressed to the same intensity.

(a)

3 marks

Write assumption made in the theory of torsion.

(b)

4 marks

A cantilever beam 2 m long has rectangular section 200 mm x 500 mm. Find out point load at free end of beam if permissible bending stress is 20N/mm².

(c)

7 marks

Determine moment of inertia of rectangular section with dimension b x d in mm,

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About this paper

Official Gujarat Technological University (GTU) examination paper for Mechanics of Solids (Summer 2026, B.E. · Civil Engineering, Sem 3). Features complete 70-mark regular & remedial examination pattern, official marking distribution across all 5 questions, and direct 1-click official PDF download.

Transcribed for student exam preparation from Gujarat Technological University official examination archives. Questions, syllabus guidelines, and curriculum marking schemes remain the intellectual property of Gujarat Technological University.

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