Gujarat Technological UniversityWinter 2024 examination

GTU 2130003 Mechanics of Solids (MOS) Winter 2024 Question Paper & PDF

B.E. · Common Engineering · Semester 3 · Subject code 2130003
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Total
70 marks
To pass
23 marks (33%)
Duration
2.5 Hours 10:30 AM – 1:00 PM
Questions
5 with internal choice
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3 of 25 questions on this paper were also asked in other years. 9 more are types of question GTU sets again with new data. Each is marked below with the years it appeared.See all 22 repeated 2130003 questions, most asked first

Q.1

14 Marks
(a)
3 marks
Define force. Discuss its characteristics.
(b)
4 marks
Define :(i) Modulus of elasticity
ii)Stain
iii)Volumetric strain (
iv)Shear stress
(c)
7 marksSame type asked in 5 of 5 papers
Determine resultant of coplanar concurrent force system shown in fig.1.
GTU Mechanics of Solids (2130003) Winter 2024 Question 1(c) Diagram

Also asked in Summer 2026 Q1c, Summer 2025 Q1c, Summer 2024 Q1c, Summer 2024 Q4c, Winter 2023 Q1c

Q.2

14 Marks
(a)
3 marks
Explain: Thermal stress
(b)
4 marks

The equilateral triangle of 50 mm side as shown in fig. 2 is subjected to three forces. Third force is unknown force alongside AC. If the resultant of force system is pure couple, find third unknown force and its direction.

GTU Mechanics of Solids (2130003) Winter 2024 Question 2(b) Diagram
(c)
7 marksSame type asked in 3 of 5 papers
Calculate the total change in length for the steel bar shown in fig.3.
GTU Mechanics of Solids (2130003) Winter 2024 Question 2(c) Diagram

Also asked in Summer 2026 Q4b OR, Summer 2024 Q4b

(c)
7 marksSame type asked in 2 of 5 papers

The rail in railway track is designed to have no stress at temp of 10˚C. If the temperature rises to 50˚C , find the maximum stress produced in rail. Take E = 200 Gpa , α = 11.7 x 10-6 /˚C

i)If no allowance is made for expansion.
ii)If allowance of 1.25 mm expansion is made for every 10 m length of rail

Also asked in Summer 2026 Q3b OR

Q.3

14 Marks
(a)
3 marks
State Lami’s theorem and explain its significance in mechanics.
(b)
4 marks
Differentiate:
i)Resultant & Equilibrant
ii)Moment & Couple
(c)
7 marksSame type asked in 5 of 5 papers
Determine support reactions for the beam shown in fig. 4.
GTU Mechanics of Solids (2130003) Winter 2024 Question 3(c) Diagram

Also asked in Summer 2026 Q3b, Summer 2025 Q2a, Summer 2025 Q2b, Summer 2024 Q3b, Winter 2023 Q2c

(a)
3 marks
Define:
i)Bending moment diagram
ii)Point of Zero shear
iii)Point of contra flexure
(b)
4 marks
Enlist and explain types of beam with necessary sketch.
(c)
7 marksSame type asked in 5 of 5 papers

Draw shear force and bending moment diagrams for the beam shown in fig.5.

GTU Mechanics of Solids (2130003) Winter 2024 Question 3 OR (c) Diagram

Also asked in Summer 2026 Q3c, Summer 2025 Q2c, Summer 2025 Q2c OR, Summer 2024 Q3c, Winter 2023 Q3c

Q.4

14 Marks
(a)
3 marks

Differentiate between static friction, dynamic friction and limiting friction.

(b)
4 marksAsked in 2 of 5 papers
State parallel and perpendicular axes theorems and its applications.

Also asked in Summer 2024 Q3a OR

(c)
7 marksSame type asked in 3 of 5 papers

A ladder 5.2 m long, weighing 250 N is placed against a smooth vertical wall with its lower end 2 m from the wall. The co-efficient of static friction between the ladder and the floor is 0.25. A man weighing 70 kg starts climbing the ladder; determine the distance ‘x’ of man from the wall so that the ladder starts slipping.

Also asked in Summer 2026 Q5c, Summer 2024 Q3c OR

(a)
3 marks
Define:
i)Neutral Layer
ii)Section Modulus
iii)Radius of Curvature
(b)
4 marksSame type asked in 3 of 5 papers

The cross-section of the beam is a rectangle 60 mm x 80 mm deep. The maximum shear stress in the section is 45 MPa. Calculate shear stress at a section:

i)40 mm above NA
ii)20 mm above NA

Also asked in Summer 2026 Q4b, Summer 2024 Q5b OR

(c)
7 marksSame type asked in 2 of 5 papers
Find centroid of area shown in

Also asked in Summer 2024 Q2c

Q.5

14 Marks
(a)
3 marksAsked in 3 of 5 papers
Draw shear stress distribution diagram for I, T and L sections.

Also asked in Summer 2024 Q5a OR, Winter 2023 Q5b

(b)
4 marks

Derive relationship between rate of loading, shear force and bending moment.

(c)
7 marks
Prove with usual notations the bending equation: M/I = f/y = E/R
(a)
3 marksAsked in 2 of 5 papers
What do you mean by Principal Planes and Principal Stresses?

Also asked in Summer 2026 Q5a

(b)
4 marks

A steel shaft 50mm diameter and 0.5m long is subjected to a twisting couple of 10³ N.m; the total angle of twist being 0.6°. Find the maximum shearing stress developed in the shaft and modulus of rigidity.

(c)
7 marksSame type asked in 3 of 5 papers

At a point in a strained body there are normal stresses of 100 MPa and 60 MPa both tensile together with a shear stress of 30 MPa, acting on two mutually perpendicular planes. Locate the principal planes and principal stresses. Also find the maximum shear stress.

Also asked in Summer 2026 Q5b OR, Summer 2025 Q5c OR

More Mechanics of Solids papers

Questions repeat across sessions. Working through two or three papers shows you which topics GTU asks most.

Summer 202670 marks · 5 questions
Summer 202570 marks · 5 questions
Summer 202470 marks · 5 questions
Winter 202370 marks · 5 questions

Other Semester 3 subjects

BE Common

2130002
Advance Engineering Mathematics
3130005
Complex Variables and Partial Differential Equations
BE03000051
Professional Communication and Ethics
BE03000061
Indian Constitution

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About this paper

Official Gujarat Technological University (GTU) examination paper for Mechanics of Solids (MOS) (Winter 2024, B.E. · Common 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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