Question 1
(a)
Explain principle of transmissibility and superposition
3 Marks
(b)
State and explain parallelogram law of forces
4 Marks
(c)
Find magnitude and direction of resultant of force system shown in
7 Marks
Gujarat Technological UniversityWinter 2023 Examination
GTU 2130003 Mechanics of Solids (MOS) Winter 2023 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)
Differentiate moment and couple
3 Marks
(b)
Find the moment of all the forces about point O given in fig. 2 Consider size of the square as 1 cm x 1 cm.
4 Marks
(c)
Determine support reaction for the given beam shown in
7 Marks
OR OPTION
(c)
Two shafts A of 700 kN and B of 400 kN are supported as shown in fig. 4 Neglecting friction at the contact surfaces P, Q, R and S, determine the reactions at all contact surfaces.
7 Marks
Question 3
(a)
Explain (a) Homogeneous material (b) Yield strength (c) Prismatic section
3 Marks
(b)
A circular brass rod of 2m length is subjected to axial pull of 15kN. What should be the diameter of the rod so that stress should not be more than 120 N/mm2 and elongation should not be more than 6mm. Take E = 120 GPa.
4 Marks
(c)
Draw shear force and bending moment diagram of the beam shown in Fig. finding values at all important points on the beam.
7 Marks
OR OPTION
(a)
Illustrate stress Vs strain graph for a standard mild steel bar. Show all the salient points on the graph.
3 Marks
(b)
In a standard tensile test, a bar of 20mm diameter undergoes elongation of 14mm in a gauge length of 150mmand a decrease in diameter of
085mm at a tensile load of 6 kN. Determine the Poisson’s ratio.
4 Marks
(c)
A rectangular block of 525mm x 230mm x 115mm is subjected to following load
i)on 230 x 115mm face 1550 kN tensile
ii)on 525 x 230 mm face 2575 kN tensile
iii)on 525 x 115mm face 2100 kN compressive.
Find the strain on all directions. Take Poisson’s ratio as 0.25 and E = 2
x105 N/mm2.
7 Marks
Question 4
(a)
Differentiate centroid and center of gravity.
3 Marks
(b)
Explain laws of friction
4 Marks
(c)
Find moment of inertia of a given section in fig. 6 about its centroidal axis
7 Marks
OR OPTION
(a)
Explain different types of supports with their reactions.
3 Marks
(b)
Locate the Centre of Gravity of composite 3d object shown in fig.7 (all dimensions are in mm)
4 Marks
(c)
Determine the horizontal force on block required to cause
i)impending
motion downward and
ii)impending motion upward. Refer fig. Take μ
= 0.55.
7 Marks
Question 5
(a)
Write assumptions made in theory of pure torsion.
3 Marks
(b)
Draw shear stress distribution diagram for following sections
i)rectangle
ii)Hollow circular
iii)hollow rectangular
iv)L section.
4 Marks
(c)
A simply supported beam of 3m span is subjected to central load ‘W’ and having rectangular cross section 275mm x 425mm. If permissible shear stress is 3 N/mm2 Calculate maximum permissible load on beam in bending and shear.
7 Marks
OR OPTION
(a)
Write the assumptions made in the theory of pure bending.
3 Marks
(b)
A shaft is required to transmit 1MW at 240 rpm. If the shear stress is not to exceed 55 N/mm2 determine the required diameter of the shaft.
4 Marks
(c)
A material is stressed by shear 5 N/mm2, axial compression 3 N/mm2 in X-direction and axial tension 7 N/mm2 in Y direction. Calculate (i.) Normal and tangential stress on plane making 60º with X-axis.
iiMaximum normal stress with their locations.
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 2023, 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.