Question 1
(a)
Define force. Discuss its characteristics.
3 Marks
(b)
Define :(i) Modulus of elasticity
ii)Stain
iii)Volumetric strain
(
iv)Shear stress
4 Marks
(c)
Determine resultant of coplanar concurrent force system shown in fig.1.
7 Marks
Gujarat Technological UniversityWinter 2024 Examination
GTU 2130003 Mechanics of Solids (MOS) Winter 2024 Paper Solution & PDF
B.E. · Common Engineering · Semester 3 · Subject Code: 2130003
Total Marks70 MarksExternal theory exam
Passing Marks23 Marks33% minimum cutoff
Exam Duration2.5 Hours10:30 AM – 1:00 PM
Paper Structure5 QuestionsWith internal OR choices
Question 2
(a)
Explain: Thermal stress
3 Marks
(b)
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.
4 Marks
(c)
Calculate the total change in length for the steel bar shown in fig.3.
7 Marks
OR OPTION
(c)
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
7 Marks
Question 3
(a)
State Lami’s theorem and explain its significance in mechanics.
3 Marks
(b)
Differentiate:
i)Resultant & Equilibrant
ii)Moment & Couple
4 Marks
(c)
Determine support reactions for the beam shown in fig. 4.
7 Marks
OR OPTION
(a)
Define:
i)Bending moment diagram
ii)Point of Zero shear
iii)Point of contra flexure
3 Marks
(b)
Enlist and explain types of beam with necessary sketch.
4 Marks
(c)
Draw shear force and bending moment diagrams for the beam shown in fig.5.
7 Marks
Question 4
(a)
Differentiate between static friction, dynamic friction and limiting friction.
3 Marks
(b)
State parallel and perpendicular axes theorems and its applications.
4 Marks
(c)
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.
7 Marks
OR OPTION
(a)
Define:
i)Neutral Layer
ii)Section Modulus
iii)Radius of Curvature
3 Marks
(b)
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
4 Marks
(c)
Find centroid of area shown in
7 Marks
Question 5
(a)
Draw shear stress distribution diagram for I, T and L sections.
3 Marks
(b)
Derive relationship between rate of loading, shear force and bending moment.
4 Marks
(c)
Prove with usual notations the bending equation: M/I = f/y = E/R
7 Marks
OR OPTION
(a)
What do you mean by Principal Planes and Principal Stresses?
3 Marks
(b)
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.
4 Marks
(c)
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.
7 Marks
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About this Examination Paper & Attribution
Official Gujarat Technological University (GTU) examination paper and step-by-step solutions 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.