Download GTU (Gujarat Technological University) BE/BTech (Bachelor of Engineering / Bachelor of Technology) 2019 Winter 4th Sem Old 140201 Mechanics Of Deformable Bodies Previous Question Paper
Seat No.: ________ Enrolment No.___________
GUJARAT TECHNOLOGICAL UNIVERSITY
BE - SEMESTER ? IV (Old) EXAMINATION ? WINTER 2019
Subject Code: 140201 Date: 14/12/2019
Subject Name: Mechanics Of Deformable Bodies
Time: 10:30 AM TO 01:00 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) Derive relation between slope, deflection and radius of curvature. 07
(b) A dam 5 m high and 1m top width has vertical water face. Find the bottom width
of the dam if no tension is to develop at the base. Density of masonry is 20 kN/m
3
.
07
Q.2 (a) Derive Euler?s formula for crippling load if both ends of columns are fixed. Also
state limitation of Euler?s formula.
07
(b) A hollow mild steel tube 5 m long, 4 cm internal diameter and 5 mm thick is used
as a strut with both ends hinged. Find the Euler?s crippling load and safe load
taking factor of safety as 3. Taking E = 2 ? 10
5
N/mm
2
.
07
OR
(b) Find slope and deflection at B for the cantilever beam loaded as shown in fig.1,
using any method. Take EI = constant.
07
Q.3 (a) Find displacements of joint C of truss loaded as shown in fig.2. Assume that, all
members have the same axial rigidity.
07
(b) A column is square in cross-section of 450mm ? 450mm in dimensions. The
column carries an eccentric point load of 200kN on one diagonal at a distance of
quarter diagonal length from a corner. Calculate the stress at all four corners.
07
OR
Q.3 (a) Draw neat sketches of kernel of the following cross sections:
(i) Square section 300mm ? 300mm
(ii) Hollow circular section with external diameter = 400mm and thickness =
100mm
07
(b) A solid circular shaft of 100mm diameter of length 4m is transmitting 115kW
power at 150 r.p.m. Determine maximum shear stress induced in the shaft and
strain energy stored in the shaft. Take G = 8 ? 10
4
N/mm
2
.
07
Q.4 (a) A hollow cast iron column 5m long is fixed at both ends and has an external
diameter of 300mm. The column supports an axial load of 1000kN. Find the
internal diameter of the column, adopting a factor of safety of 5. Take
fc=550N/mm
2
and ?=1/1600.
07
(b) A semicircular beam of radius r is fixed at one end and free at the other. It is
subjected to a peripheral load (UDL) of w per unit peripheral length. Draw shear
force, bending moment and twisting moment diagrams of the beam.
07
OR
Q.4 (a) A quarter circular beam of radius 3m is fixed at one end and free at the other. It
is subjected to a point load of 5kN at free end. Find the reactions at fixed end and
draw shear force, bending moment and twisting moment diagrams.
07
(b) A closed ring of mean radius 200mm is subjected to a pull of 20kN, the line of
action of which passes through its centre, the ring is circular in cross section
with a radius equal to 50mm. Find the maximum tensile & compressive stress in
the ring.
07
Q.5 (a) Draw the neat sketch of various types of bolted and welded joint. 07
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1
Seat No.: ________ Enrolment No.___________
GUJARAT TECHNOLOGICAL UNIVERSITY
BE - SEMESTER ? IV (Old) EXAMINATION ? WINTER 2019
Subject Code: 140201 Date: 14/12/2019
Subject Name: Mechanics Of Deformable Bodies
Time: 10:30 AM TO 01:00 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) Derive relation between slope, deflection and radius of curvature. 07
(b) A dam 5 m high and 1m top width has vertical water face. Find the bottom width
of the dam if no tension is to develop at the base. Density of masonry is 20 kN/m
3
.
07
Q.2 (a) Derive Euler?s formula for crippling load if both ends of columns are fixed. Also
state limitation of Euler?s formula.
07
(b) A hollow mild steel tube 5 m long, 4 cm internal diameter and 5 mm thick is used
as a strut with both ends hinged. Find the Euler?s crippling load and safe load
taking factor of safety as 3. Taking E = 2 ? 10
5
N/mm
2
.
07
OR
(b) Find slope and deflection at B for the cantilever beam loaded as shown in fig.1,
using any method. Take EI = constant.
07
Q.3 (a) Find displacements of joint C of truss loaded as shown in fig.2. Assume that, all
members have the same axial rigidity.
07
(b) A column is square in cross-section of 450mm ? 450mm in dimensions. The
column carries an eccentric point load of 200kN on one diagonal at a distance of
quarter diagonal length from a corner. Calculate the stress at all four corners.
07
OR
Q.3 (a) Draw neat sketches of kernel of the following cross sections:
(i) Square section 300mm ? 300mm
(ii) Hollow circular section with external diameter = 400mm and thickness =
100mm
07
(b) A solid circular shaft of 100mm diameter of length 4m is transmitting 115kW
power at 150 r.p.m. Determine maximum shear stress induced in the shaft and
strain energy stored in the shaft. Take G = 8 ? 10
4
N/mm
2
.
07
Q.4 (a) A hollow cast iron column 5m long is fixed at both ends and has an external
diameter of 300mm. The column supports an axial load of 1000kN. Find the
internal diameter of the column, adopting a factor of safety of 5. Take
fc=550N/mm
2
and ?=1/1600.
07
(b) A semicircular beam of radius r is fixed at one end and free at the other. It is
subjected to a peripheral load (UDL) of w per unit peripheral length. Draw shear
force, bending moment and twisting moment diagrams of the beam.
07
OR
Q.4 (a) A quarter circular beam of radius 3m is fixed at one end and free at the other. It
is subjected to a point load of 5kN at free end. Find the reactions at fixed end and
draw shear force, bending moment and twisting moment diagrams.
07
(b) A closed ring of mean radius 200mm is subjected to a pull of 20kN, the line of
action of which passes through its centre, the ring is circular in cross section
with a radius equal to 50mm. Find the maximum tensile & compressive stress in
the ring.
07
Q.5 (a) Draw the neat sketch of various types of bolted and welded joint. 07
2
(b) A curve bar of square section 75mm ? 75mm and of mean radius of curvature
112.5 mm is initially unstressed. If a bending moment of 9kNm is applied to the
bar and tends to straighten it, find the stresses at the inner and outer faces.
07
OR
Q.5 (a) Find the shear center for the channel section having web 100 ? 10 mm and flanges
60 ? 10 mm.
07
(b) An angle ISA 100 ? 100 ? 10 mm, is carrying an axial load of 100kN. Design a
bolted or welded connection of angle with 12 mm thick gusset plate.
07
*************
Fig.1
4m
10kN
20kN/m
A B
Fig.2
3m
3m
5 kN
A
B C
D
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This post was last modified on 20 February 2020