Download GTU (Gujarat Technological University) BE/BTech (Bachelor of Engineering / Bachelor of Technology) 2018 Winter 4th Sem Old 140605 Advanced Strength Of Materials Previous Question Paper
1
Seat No.: ________ Enrolment No.___________
GUJARAT TECHNOLOGICAL UNIVERSITY
BE - SEMESTER ?IV (OLD) EXAMINATION ? WINTER 2018
Subject Code:140605 Date: 17/11/2018
Subject Name: Advanced 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.
Q.1 (a) Explain the Castigilano?s second theory and max well reciprocal deflections
theory
07
(b) A bar 54 mm in diameter is 4 m long. An axial load of 180 kN is suddenly applied
on it. Find (i) The maximum instantanceous stress. (ii) the maximum
instantaneous elongation, Take E = 2 x 10
5
.
07
Q.2 (a) Explain maximum principal stress theory of failure for three dimensional stress
system.
07
(b) Determine reaction at prop cantilever beam using Castigilano?s second theorem,
as shown in fig. 1.
07
OR
(b) A steel bolt is subjected to a direct to pull of 20 kN and transvers shear force of
10 kN. Calculate the diameter of bolt using (i) Maximum Principal stress theory
(ii) Maximum principal strain theory (iii) Total strain energy.
07
Q.3 (a) Distinguish between semi-elliptic and quarter elliptical spring. 07
(b) A laminated carriage spring is 800 mm long and is made of twelve leaves of the
same thickness and 40 mm wide. Find the thickness of leaves if the bending stress
is to be limited to 200 N/mm
2
. When the spring is subjected to a point load 6000
N at the center. Find also the center deflection. Take E = 2 x 10
5
N/mm
2
.
07
OR
Q.3 (a) Derive Lamie?s equation for a thick cylinder subjected to internal and external
pressure. State clearly various assumptions made.
07
(b) A CI cylinder of 600 mm external diameter and 400 mm internal diameter is
subjected to an external pressure of 30 Mpa. Calculate the decrease in the external
diameter of cylinder. Take E = 200 Gpa and ? = 0.3.
07
Q.4 (a) Determine the ?m? factor for rectangular section in bending of curved beam. Q
(b) A compound tube is composed of a tube 250 mm internal diameter and 25 mm
thick. The radial pressure at junction is 8 MPa. The compound tube is subjected
to an internal fluid pressure 85 Mpa. Find the variation of the hoop stress over
the wall of compound tube.
07
OR
Q.4 (a) Write theory on beam with large initial curvature. 07
(b) A curved beam of circular section of 40 mm diameter is subjected to pure bending
moment 400 N.m. The mean radious of curvature is 50 mm. calculate maximum
tensile stress and compressive stresses. Also fine position of Neutral Axis.
07
A
B
C
Fig. 1
3 m 2 m
10 kN/m
20 kN
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1
Seat No.: ________ Enrolment No.___________
GUJARAT TECHNOLOGICAL UNIVERSITY
BE - SEMESTER ?IV (OLD) EXAMINATION ? WINTER 2018
Subject Code:140605 Date: 17/11/2018
Subject Name: Advanced 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.
Q.1 (a) Explain the Castigilano?s second theory and max well reciprocal deflections
theory
07
(b) A bar 54 mm in diameter is 4 m long. An axial load of 180 kN is suddenly applied
on it. Find (i) The maximum instantanceous stress. (ii) the maximum
instantaneous elongation, Take E = 2 x 10
5
.
07
Q.2 (a) Explain maximum principal stress theory of failure for three dimensional stress
system.
07
(b) Determine reaction at prop cantilever beam using Castigilano?s second theorem,
as shown in fig. 1.
07
OR
(b) A steel bolt is subjected to a direct to pull of 20 kN and transvers shear force of
10 kN. Calculate the diameter of bolt using (i) Maximum Principal stress theory
(ii) Maximum principal strain theory (iii) Total strain energy.
07
Q.3 (a) Distinguish between semi-elliptic and quarter elliptical spring. 07
(b) A laminated carriage spring is 800 mm long and is made of twelve leaves of the
same thickness and 40 mm wide. Find the thickness of leaves if the bending stress
is to be limited to 200 N/mm
2
. When the spring is subjected to a point load 6000
N at the center. Find also the center deflection. Take E = 2 x 10
5
N/mm
2
.
07
OR
Q.3 (a) Derive Lamie?s equation for a thick cylinder subjected to internal and external
pressure. State clearly various assumptions made.
07
(b) A CI cylinder of 600 mm external diameter and 400 mm internal diameter is
subjected to an external pressure of 30 Mpa. Calculate the decrease in the external
diameter of cylinder. Take E = 200 Gpa and ? = 0.3.
07
Q.4 (a) Determine the ?m? factor for rectangular section in bending of curved beam. Q
(b) A compound tube is composed of a tube 250 mm internal diameter and 25 mm
thick. The radial pressure at junction is 8 MPa. The compound tube is subjected
to an internal fluid pressure 85 Mpa. Find the variation of the hoop stress over
the wall of compound tube.
07
OR
Q.4 (a) Write theory on beam with large initial curvature. 07
(b) A curved beam of circular section of 40 mm diameter is subjected to pure bending
moment 400 N.m. The mean radious of curvature is 50 mm. calculate maximum
tensile stress and compressive stresses. Also fine position of Neutral Axis.
07
A
B
C
Fig. 1
3 m 2 m
10 kN/m
20 kN
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2
Q.5 (a) Draw the shear stress distribution diagram of section (1) Rectangular, (2) Square
(3) T-section (4) circular (5) Triangular (6) I Section (7) H Section
07
(b) A two wooden pieces of section 100 mm x 100 mm are glued to gather to from a
beam cross section 100 mm wide and 200 mm deep if the allowable stress at
glued joint 0.3 N/mm
2
. Hat is the shear force the section can carry?
07
OR
Q.5 (a) Derive an expression for the hoop stress developed in a thin ring due to rotation 07
(b) A rotor of a turbine is to be designed so that the stresses throughout are uniform
and not to exceed 200 Mpa. The maximum speed at which the rotor has to run is
at 10,000 r.p.m. if the thickness of rotar at the center is 50 mm and outside
diameter is 500 mm, calculate thickness at the outer edge ? = 7900 kg/m
3
.
07
*************
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This post was last modified on 20 February 2020