Download GTU (Gujarat Technological University) BE/BTech (Bachelor of Engineering / Bachelor of Technology) 2019 Winter 3rd Sem New 2130608 Strength Of Materials Previous Question Paper
Seat No.: ________ Enrolment No.___________
GUJARAT TECHNOLOGICAL UNIVERSITY
BE - SEMESTER ? III (New) EXAMINATION ? WINTER 2019
Subject Code: 2130608 Date: 30/11/2019
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) Toughness (2) Hardness (3) Fatigue strength 03
(b) Enlist various type of loads and type of supports. 04
(c) Calculate and Draw Shear force and Bending moment
diagram of cantilever beam of 4 m span. A load of 10 kN
acting at free end and 20 kN is acting at 2m from free end,
also UDL 10 kN/m is acting on 2 m from fixed end.
07
Q.2 (a) Explain assumption made in theory of pure bending. 03
(b) Derive relation between the rate of loading , shear force
and bending moment in a beam.
04
(c) Draw Shear force and Bending moment diagram for the
beam shown in fig 1.
07
OR
(c) Find support reaction for the beam shown in fig. 2. 07
Q.3 (a) Explain the principal planes, principal stresses and natural
axis.
03
(b) Explain MOHR?S circle of stress? 04
(c) A steel bar 1600 mm long is acted upon by forces as shown
in fig. 3. Find the elongation of the bar. Take E = 2 x 10
5
N/mm
2
.
07
OR
Q.3 (a) What is Point of Contra flexure? What is its significance? 03
(b) Derive the Torsion equation with usual notations. 04
(c) At a certain point in a strained material direct stress of 60
N/mm
2
tensile is acting. Find normal stress, tangential
stress and resultant stress on a plane inclined at 30 ? to the
plane of stress. Also verify the same by graphical method.
07
Q.4 (a) State the Laws of Friction. 03
(b) Prove with usual notation the maximum shear stress for a
rectangular section is 1.5 times the average shear stress.
04
(c) A hollow steel shaft, 3 m of length must transmit a torque
of 25 kN.m. The total angle of twist in this length is not to
exceed 2.5 ? and the allowable shearing stress in the
material is 90 Mpa. Calculate the inside diameter of the
shaft and thickness of the metal. G = 85 GN/m
2
.
07
OR
Q.4 (a) Write the assumption for Theory of torsion 03
(b) Draw representative shear stress distribution diagrams for
Hollow rectangle, b) I section, c) Hollow circle
04
(c)
Derive the torsion formula.
?? ??
=
?? ?? =
????
??
07
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1
Seat No.: ________ Enrolment No.___________
GUJARAT TECHNOLOGICAL UNIVERSITY
BE - SEMESTER ? III (New) EXAMINATION ? WINTER 2019
Subject Code: 2130608 Date: 30/11/2019
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) Toughness (2) Hardness (3) Fatigue strength 03
(b) Enlist various type of loads and type of supports. 04
(c) Calculate and Draw Shear force and Bending moment
diagram of cantilever beam of 4 m span. A load of 10 kN
acting at free end and 20 kN is acting at 2m from free end,
also UDL 10 kN/m is acting on 2 m from fixed end.
07
Q.2 (a) Explain assumption made in theory of pure bending. 03
(b) Derive relation between the rate of loading , shear force
and bending moment in a beam.
04
(c) Draw Shear force and Bending moment diagram for the
beam shown in fig 1.
07
OR
(c) Find support reaction for the beam shown in fig. 2. 07
Q.3 (a) Explain the principal planes, principal stresses and natural
axis.
03
(b) Explain MOHR?S circle of stress? 04
(c) A steel bar 1600 mm long is acted upon by forces as shown
in fig. 3. Find the elongation of the bar. Take E = 2 x 10
5
N/mm
2
.
07
OR
Q.3 (a) What is Point of Contra flexure? What is its significance? 03
(b) Derive the Torsion equation with usual notations. 04
(c) At a certain point in a strained material direct stress of 60
N/mm
2
tensile is acting. Find normal stress, tangential
stress and resultant stress on a plane inclined at 30 ? to the
plane of stress. Also verify the same by graphical method.
07
Q.4 (a) State the Laws of Friction. 03
(b) Prove with usual notation the maximum shear stress for a
rectangular section is 1.5 times the average shear stress.
04
(c) A hollow steel shaft, 3 m of length must transmit a torque
of 25 kN.m. The total angle of twist in this length is not to
exceed 2.5 ? and the allowable shearing stress in the
material is 90 Mpa. Calculate the inside diameter of the
shaft and thickness of the metal. G = 85 GN/m
2
.
07
OR
Q.4 (a) Write the assumption for Theory of torsion 03
(b) Draw representative shear stress distribution diagrams for
Hollow rectangle, b) I section, c) Hollow circle
04
(c)
Derive the torsion formula.
?? ??
=
?? ?? =
????
??
07
2
Q.5 (a) Define section modulus and its importance in bending. 03
(b) Define :- i) Brittleness ii) Malleability iii) working stress
iv) Ductility
04
(c) A ladder AB is 4.5m long and 450N weight rests on a
rough horizontal floor at end B and vertical wall at A
making 60? with horizontal. The coefficient of static
friction is 0.4 for all contact surfaces. A man of 800N
weight climbs on the ladder. Determine the minimum
distance travelled on the ladder, when it is on the verge of
slipping.
07
OR
Q.5 (a) Explain Classification of Materials 03
(b) State assumption made in the theory of pure bending. 04
(c) A T- section has dimensions shown in fig.4. The section
is subjected to shear force of 180 kN. Calculate (i) shear
stress at junction of flange & web. (ii) Shear stress at
neutral axis. Sketch the shear stress distribution diagram
for the section.
07
***************
5 kN 8 kN/m
A
3 m
1m
C
B
fig. 1.
fig. 2.
fig. 4.
fig. 3.
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This post was last modified on 20 February 2020