Download GTU (Gujarat Technological University) BE/BTech (Bachelor of Engineering / Bachelor of Technology) 2019 Summer 3rd Sem New 2130608 Strength Of Materials Previous Question Paper
Seat No.: ________ Enrolment No.___________
GUJARAT TECHNOLOGICAL UNIVERSITY
BE - SEMESTER ?III (NEW) EXAMINATION ? SUMMER 2019
Subject Code: 2130608 Date: 07/06/2019
Subject Name:Strength of Materials
Time: 02:30 PM TO 05:00 PM Total Marks: 70
Instructions:
1. Attempt all questions.
2. Make suitable assumptions wherever necessary.
3. Figures to the right indicate full marks.
MARKS
Q.1 (a) Define :
(1)Hardness (2)co-efficient of friction (3)Shear Modulus
03
(b) Derive relation between S.F. and B.M. in a beam subjected to general
loading
04
(c) A cantilever of length 2.5 m carries a UDL of 1.5KN/m run over the
whole length and a point load of 2 KN at a distance of 1.0m from the
free end. Calculate shear force and bending moments and plot the S.F.
and B.M. diagrams.
07
Q.2 (a) Explain different types of beam. 03
(b) Explain assumptions made in theory of pure bending 04
(c) A Hollow steel shaft 3m long transmits a torque of 24 kNm. The total
angle of twist is not to exceed 2.5
o
and the allowed shear stress is 90MPa.
Determine inside and outside of shaft G= 85GPa.
07
OR
(c) Draw the Shear Force and Bending Moment Diagram of beam shown in
fig no.1
07
Q.3 (a) Explain assumptions in theory of pure torsion 03
(b) Write short note on (i) working stress (ii) load factor (iii) strain hardening 04
(c) A Steel bar ABCD of cross sectional area 500 mm2 is acted upon by
forces as shown fig no.2 Neglecting effect of self-weight of the bars.
Find change in length of bars AD. Take E=200GPa.
07
OR
Q.3 (a) A uniform steel rod, 6 mm diameter ( ? ) and 0.5 m long, is subjected to a
tensile force of 3 KN. Find the stress in the bar and its elongation. E = 200
GPa
03
(b) A simply supported beam of span 5m has a cross-section 150mm ?250mm
and load with uniformly load over entire span, if the permissible stress
is10N/mm2, find (a) Maximum intensity of u.d.l it can carry.
04
(c) At a point in a strained material, stress pattern as shown in figure no.3
was observed. Determine (i) magnitude of principal stresses and their
location.(ii) Maximum shear stress and its orientation and (iii) stresses
on plane AC (?=56.31
o
)
07
Q.4 (a)
Explain Static & Kinetic Friction
03
(b)
Explain MOHR?S circle of stress
04
(c)
Prove with usual notation
?? ?? =
?? ?? =
?? ??
07
OR
Q.4 (a)
Define
i) angle of friction ii) angle of repose iii) coefficient of friction
03
(b) Explain the law of static friction and law of dynamic friction. 04
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1
Seat No.: ________ Enrolment No.___________
GUJARAT TECHNOLOGICAL UNIVERSITY
BE - SEMESTER ?III (NEW) EXAMINATION ? SUMMER 2019
Subject Code: 2130608 Date: 07/06/2019
Subject Name:Strength of Materials
Time: 02:30 PM TO 05:00 PM Total Marks: 70
Instructions:
1. Attempt all questions.
2. Make suitable assumptions wherever necessary.
3. Figures to the right indicate full marks.
MARKS
Q.1 (a) Define :
(1)Hardness (2)co-efficient of friction (3)Shear Modulus
03
(b) Derive relation between S.F. and B.M. in a beam subjected to general
loading
04
(c) A cantilever of length 2.5 m carries a UDL of 1.5KN/m run over the
whole length and a point load of 2 KN at a distance of 1.0m from the
free end. Calculate shear force and bending moments and plot the S.F.
and B.M. diagrams.
07
Q.2 (a) Explain different types of beam. 03
(b) Explain assumptions made in theory of pure bending 04
(c) A Hollow steel shaft 3m long transmits a torque of 24 kNm. The total
angle of twist is not to exceed 2.5
o
and the allowed shear stress is 90MPa.
Determine inside and outside of shaft G= 85GPa.
07
OR
(c) Draw the Shear Force and Bending Moment Diagram of beam shown in
fig no.1
07
Q.3 (a) Explain assumptions in theory of pure torsion 03
(b) Write short note on (i) working stress (ii) load factor (iii) strain hardening 04
(c) A Steel bar ABCD of cross sectional area 500 mm2 is acted upon by
forces as shown fig no.2 Neglecting effect of self-weight of the bars.
Find change in length of bars AD. Take E=200GPa.
07
OR
Q.3 (a) A uniform steel rod, 6 mm diameter ( ? ) and 0.5 m long, is subjected to a
tensile force of 3 KN. Find the stress in the bar and its elongation. E = 200
GPa
03
(b) A simply supported beam of span 5m has a cross-section 150mm ?250mm
and load with uniformly load over entire span, if the permissible stress
is10N/mm2, find (a) Maximum intensity of u.d.l it can carry.
04
(c) At a point in a strained material, stress pattern as shown in figure no.3
was observed. Determine (i) magnitude of principal stresses and their
location.(ii) Maximum shear stress and its orientation and (iii) stresses
on plane AC (?=56.31
o
)
07
Q.4 (a)
Explain Static & Kinetic Friction
03
(b)
Explain MOHR?S circle of stress
04
(c)
Prove with usual notation
?? ?? =
?? ?? =
?? ??
07
OR
Q.4 (a)
Define
i) angle of friction ii) angle of repose iii) coefficient of friction
03
(b) Explain the law of static friction and law of dynamic friction. 04
2
200
(c)
Prove with usual notation
?? 1
?? 2
= ?? ????
for belt friction
07
Q.5 (a)
Enumerate various types of supports with neat symbolic sketches, showing
possible reactions.
03
(b)
Define
i) elastic body ii) plastic body iii) rigid body
04
(c) The T-shaped Cross-section of a beam shown in fig no.4 is subject to
vertical shear force of 100 kN. Calculate the shear stress at neutral axis
and at the junction of web and flange.
07
OR
Q.5 (a)
Define section modulus and its importance in bending
03
(b)
Explain the polar Modulus
04
(c) A uniform ladder of 4m length rests against a vertical wall with which it
make an angle of 45
o
, the coefficient of friction between the ladder and
the wall is 0.4 and that between ladder and the floor is 0.5. if a man,
whose weight is one-half of that of the ladder ascends it, how will it be
when the ladder slips?
07
Figure No. 1 for Q2(C) OR Figure No. 2 Q3 (C)
Figure No. 3 Q3 (C) OR
*************
200
50
50
Figure no. 4 for Q5(C)
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This post was last modified on 20 February 2020