Gujarat Technological UniversitySummer 2026 examination

GTU BE01000091 Mechanics of Solids Summer 2026 Question Paper & PDF

B.E. · Common Engineering · Semester 1 · Subject code BE01000091GTU also lists this paper as BE01R00091
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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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Q.1

14 Marks
(a)
3 marks
State
1)Principle of superposition,
2)Newton’s first law of motion,
3)Principle of transmissibility.
(b)
4 marks
State Lami’s theorem. Determine tension in rope OQ and OR shown in figure -1
GTU Mechanics of Solids (BE01000091) Summer 2026 Question 1(b) Diagram
(c)
7 marks
Determine magnitude and direction of resultant of force system shown in Figure -2
GTU Mechanics of Solids (BE01000091) Summer 2026 Question 1(c) Diagram

Q.2

14 Marks
(a)
3 marks

Calculate reactions of simply supported beam having 10 m total length, 50 kN point load at distance 3 m from left support and UDL of 10 kN/m on its entire length.

(b)
4 marks
Derive the relation between shear force and bending moment.
(c)
7 marks

Draw shear force and bending moment diagram with calculations of a cantilever beam as shown in Figure -3

GTU Mechanics of Solids (BE01000091) Summer 2026 Question 2(c) Diagram
(c)
7 marks

Draw shear force and bending moment diagram with calculations of a simply supported beam as shown in Figure -4

GTU Mechanics of Solids (BE01000091) Summer 2026 Question 2 OR (c) Diagram

Q.3

14 Marks
(a)
3 marks
State any three assumptions made in the theory of torsion.
(b)
4 marks
State and explain Pappus-Guldinus theorem 1.
(c)
7 marks
Find centre of gravity of L beam as shown in figure 5.
GTU Mechanics of Solids (BE01000091) Summer 2026 Question 3(c) Diagram
(a)
3 marks

A hollow shaft of 20 mm outside diameter and 16 mm inside diameter is subjected to a torque of 40 Nm. Find the shear stress at the outside and inside of the shaft.

(b)
4 marks
State and explain parallel axis theorem.
(c)
7 marks
Calculate centroidal moment of inertia Ixx and Iyy for I beam as shown in figure 6.
GTU Mechanics of Solids (BE01000091) Summer 2026 Question 3 OR (c) Diagram

Q.4

14 Marks
(a)
3 marks
Explain
1)Coplanar forces,
2)Concurrent forces,
3)Collinear forces
(b)
4 marks
Draw shear stress distribution diagrams for
1)I section,
2)T section,
3)Hollow circular section,
4)L section
(c)
7 marks

A 5 m simply supported beam having cross section as shown in figure 6 carries a point load of W at 3m from left support. Find value of W so that maximum bending stress in tension and compression are limited to 100 MPa and 80 MPa respectively. (Top flange is in compression).

GTU Mechanics of Solids (BE01000091) Summer 2026 Question 4(c) Diagram
(a)
3 marks
Determine the algebraic sum of the moments of the force about P as shown in figure -
GTU Mechanics of Solids (BE01000091) Summer 2026 Question 4 OR (a) Diagram
(b)
4 marks
State any four assumptions made in the theory of simple bending.
(c)
7 marks

A 6 m simply supported beam having cross section as shown in figure 5 carries a point load of 80 at centre of beam. Draw shear stress distribution diagram across the section at point of maximum shear force, indicate values at all important point.

GTU Mechanics of Solids (BE01000091) Summer 2026 Question 4 OR (c) Diagram

Q.5

14 Marks
(a)
3 marks
Define
1)Stress ,
2)Strain and
3)Elasticity.
(b)
4 marks

A steel rod of 25 mm in diameter and 2 m long is subjected to an axial pull of 45 kN. find

1)The intensity of stress
2)The strain
3)Elongation. Take E= 2*105 N/mm2.
(c)
7 marks

A brass bar having a uniform cross-sectional area of 1000 mm² is subjected to axial forces as shown in figure 8. Find the total change in length of bar. Take E = 1.05* 105 N/mm².

GTU Mechanics of Solids (BE01000091) Summer 2026 Question 5(c) Diagram
(a)
3 marks
Define
1)Poisson’s ratio,
2)Bulk modulus and
3)Lateral strain.
(b)
4 marks
Find the elongation of bar for following condition
1)under its own weight having uniform cross section area A, Length l, and weight w per unit length when it is suspended from ceiling.and
2)subjected to only axial load P, at free end of the vertical bar.
(c)
7 marks

A rectangular block 250mm*100mm*80mm is subjected to axial load as follow.

1480 kN tensile in the direction of its length
2900 kN tensile 250 mm* 80 mm faces
31000 kN compressive on the 250 mm *100 mm faces Assume Poisson’s ratio as 0.25, find in terms of E of the material the strain in the direction of each force. If E= 2*105, Find the values of modulus of rigidity and bulk modulus for the material of block. Also calculate the change in the volume of the block.

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About this paper

Official Gujarat Technological University (GTU) examination paper for Mechanics of Solids (Summer 2026, B.E. · Common Engineering, Sem 1). 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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