Q.1
14 Marks(a)
Define :
i)Space
ii)Resultant
iii)Couple
(b)
Determine resultant of coplanar concurrent force system shown in
(c)
Find support reactions for the beam shown in
Gujarat Technological UniversitySummer 2025 examination
GTU 3130608 Mechanics of Solids Summer 2025 Question Paper & PDF
B.E. · Civil Engineering · Semester 3 · Subject code 3130608
- 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.2
14 Marks(a)
Enlist Fundamental principles of mechanics. State principle of transmissibility.
(b)
A cord supported at A and B carries a load of 10 kN at D and a load of W at C as shown in Fig.3. Find the value of W so that CD remains horizontal.
(c)
Analyse the truss shown in
OR
(c)
For the system of force on a lamina OABC shown in figure 5, find magnitude and direction of the resultant force. Also locate the resultant by perpendicular distance from point “O”.
Q.3
14 Marks(a)
Determine resultant of coplanar concurrent force system shown in fig.1 using graphical method.
(b)
Derive relation between uniformly distributed load, shear force and bending moment with usual notations.
(c)
Draw shear force and bending moment diagrams for the beam shown in
OR
(a)
Define
i)Shear force
ii)Point of zero shear
iii)Point of contraflexure
(b)
State assumption made in theory of pure bending.
(c)
Find centroid of lamina shown in
Q.4
14 Marks(a)
State and explain Pappus Guldinus first theorem using appropriate example.
(b)
A rectangular beam 300 mm deep is simply supported over a span of 4.0 m. What uniformly distributed load the beam may carry if the bending stress is not to exceed 120 MPa? Take I = 8 x 10⁶ mm4
(c)
Calculate stresses in each portion and the total change in length for steel bar ABCD as shown in figure 8. Take E = 200 GPa
OR
(a)
Define :
i)Shear Stress
ii)Modulus of Rigidity
iii)Volumetric strain
(b)
Determine moment of inertia about its horizontal centroidal axis for T section having flange and web dimensions 100mm x20 mm each.
(c)
A short concrete column 300mm x 300mm in section is carrying axial load of 360 kN. The column is reinforced by four 12mm diameter steel bars each one at corner. Calculate stresses in concrete and steel. Take Ec = 14GPa and Es = 210Gpa.
Q.5
14 Marks(a)
Sketch qualitative shear stress distribution diagrams for following sections
i)Circular
ii)I section and
iii)T section
(b)
A steel tube of 2 m length is subjected to 50º C rise in temperature. Determine
i)free natural expansion and
ii)stress developed in the tube, if expansion is
prevented. Take Es = 2.0 x 10⁵ N/mm² and α = 12 x 10⁻⁶ per º C.
(c)
Define:
i)Poisson’s ratio
ii)Bulk modulus
iii)Modulus of Elasticity.
Derive relation between bulk modulus, Poisson’s ratio and modulus of
elasticity.
OR
(a)
Define
i)Torsional Rigidity
ii)Principal Plane
iii)Neutral axis
(b)
A solid steel shaft of 60 mm diameter is subjected to torque of 5 kNm. Determine maximum shear stress developed in the shaft. G= 80GPa
(c)
For an element shown in fig.9. Determine
i)Principal stresses and location of corresponding principal planes.
ii)Maximum shear stress and location of planes containing it
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About this paper
Official Gujarat Technological University (GTU) examination paper for Mechanics of Solids (Summer 2025, 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.