Download GTU (Gujarat Technological University) BE/BTech (Bachelor of Engineering / Bachelor of Technology) 2019 Summer 3rd Sem New 2130003 Mechanics Of Solids Previous Question Paper
Seat No.: ________ Enrolment No.___________
GUJARAT TECHNOLOGICAL UNIVERSITY
BE - SEMESTER ?III (NEW) EXAMINATION ? SUMMER 2019
Subject Code: 2130003 Date: 01/06/2019
Subject Name:Mechanics of Solids
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 with suitable figure.
(a) Types of support,
(b) Types of load,
(c) Types of beam.
03
(b) Differentiate between following :
1) Co-planar & Non coplanar force system
2) Concurrent & Non concurrent force system
3) Resolution & composition of force
4) Resultant & Equilibrant
04
(c) A hollow mild steel cylinder 4 meter long, 300 mm outer diameter
and thickness of metal 50 mm is subjected to central load on the
top when standing straight. The stress produced is 80000 kN/ m
2
.
Assume Young?s modulus for mild steel as 2.0 x10
5
N/mm
2
and
Find (i) magnitude of the load , (ii) longitudinal strain produced
and (iii) total decrease in length.
07
Q.2 (a) State and explain Varignon?s theorem. 03
(b) Derive relation between the rate of loading, shear force and
bending moment.
04
(c) A bar of 20 mm diameter is subjected to a pull of 50kN. The
measured extension on gauge length of 250 mm is 0.12 mm and
change in diameter is 0.00375 mm. Calculate:
(i) Young?s modulus (ii) Poisson?s ratio and
(iii) Bulk modulus. And define bulk modulus & volumetric strain
07
OR
(c) Locate centroid of following composite line segments as shown in
fig:
07
Q.3 (a) Explain following terms:
(i) Shear force (ii) Bending moment (iii) Point of contra flexure
03
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Seat No.: ________ Enrolment No.___________
GUJARAT TECHNOLOGICAL UNIVERSITY
BE - SEMESTER ?III (NEW) EXAMINATION ? SUMMER 2019
Subject Code: 2130003 Date: 01/06/2019
Subject Name:Mechanics of Solids
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 with suitable figure.
(a) Types of support,
(b) Types of load,
(c) Types of beam.
03
(b) Differentiate between following :
1) Co-planar & Non coplanar force system
2) Concurrent & Non concurrent force system
3) Resolution & composition of force
4) Resultant & Equilibrant
04
(c) A hollow mild steel cylinder 4 meter long, 300 mm outer diameter
and thickness of metal 50 mm is subjected to central load on the
top when standing straight. The stress produced is 80000 kN/ m
2
.
Assume Young?s modulus for mild steel as 2.0 x10
5
N/mm
2
and
Find (i) magnitude of the load , (ii) longitudinal strain produced
and (iii) total decrease in length.
07
Q.2 (a) State and explain Varignon?s theorem. 03
(b) Derive relation between the rate of loading, shear force and
bending moment.
04
(c) A bar of 20 mm diameter is subjected to a pull of 50kN. The
measured extension on gauge length of 250 mm is 0.12 mm and
change in diameter is 0.00375 mm. Calculate:
(i) Young?s modulus (ii) Poisson?s ratio and
(iii) Bulk modulus. And define bulk modulus & volumetric strain
07
OR
(c) Locate centroid of following composite line segments as shown in
fig:
07
Q.3 (a) Explain following terms:
(i) Shear force (ii) Bending moment (iii) Point of contra flexure
03
2
(b) Find out support reactions for the beam as shown in fig.
04
(c) Draw shear force and bending moment diagram (and axial thrust
diagram, if it is) giving values at all important points for the
following beam:
07
OR
Q.3 (a) Discuss critically the assumption made in theory of Bending. 03
(b) A hollow circular beam having outside dia. twice the inside dia. is
subjected to a bending moment of 40 KN.m. If permissible bending
stress in the beam is 106 N/mm
2
, find the dia. of beam.
04
(c) Draw only shape of shear stress distribution diagram for the
following sections :
(i) T section , (ii) symmetrical I section , (iii) Triangular
section , (iv) H section, (v) Rectangular section (vi)
circular section (vii) L section.
07
Q.4 (a) Define:
(1) Centroid,
(2) Center of gravity,
(3) Center of mass.
03
(b) State and explain Pappus-Guldinus theorem I & II 04
(c) From first principle find the moment of inertia of
(1) Rectangle ?b? x ?d? @ top face
(2) Triangle ?b? (base) x ?h? (altitude) @ base
Apply parallel axes theorem, find M.I @ respective centroidal axis
for all cases mentioned above.
07
OR
Q.4 (a) Explain the following terms:
(i) Space (ii) Mass (iii) Particle
03
(b) The bar shown in fig.1 find the diameter of middle stress is
limited to 130 MN/m
2
. Find also the length of middle portion if
the total elongation of bar is 0.15mm.Take E = 200 GN/m
2
.
04
(c) A ladder AB having length 4 meter and weighing 196 N is resting
against a rough wall and a rough floor. Calculate the minimum
horizontal force P required to be applied at 1 meter inclined length
of ladder from bottom of ladder in order to push the ladder towards
the wall. Assume ?f = 0.3 and ?w = 0.2.
07
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1
Seat No.: ________ Enrolment No.___________
GUJARAT TECHNOLOGICAL UNIVERSITY
BE - SEMESTER ?III (NEW) EXAMINATION ? SUMMER 2019
Subject Code: 2130003 Date: 01/06/2019
Subject Name:Mechanics of Solids
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 with suitable figure.
(a) Types of support,
(b) Types of load,
(c) Types of beam.
03
(b) Differentiate between following :
1) Co-planar & Non coplanar force system
2) Concurrent & Non concurrent force system
3) Resolution & composition of force
4) Resultant & Equilibrant
04
(c) A hollow mild steel cylinder 4 meter long, 300 mm outer diameter
and thickness of metal 50 mm is subjected to central load on the
top when standing straight. The stress produced is 80000 kN/ m
2
.
Assume Young?s modulus for mild steel as 2.0 x10
5
N/mm
2
and
Find (i) magnitude of the load , (ii) longitudinal strain produced
and (iii) total decrease in length.
07
Q.2 (a) State and explain Varignon?s theorem. 03
(b) Derive relation between the rate of loading, shear force and
bending moment.
04
(c) A bar of 20 mm diameter is subjected to a pull of 50kN. The
measured extension on gauge length of 250 mm is 0.12 mm and
change in diameter is 0.00375 mm. Calculate:
(i) Young?s modulus (ii) Poisson?s ratio and
(iii) Bulk modulus. And define bulk modulus & volumetric strain
07
OR
(c) Locate centroid of following composite line segments as shown in
fig:
07
Q.3 (a) Explain following terms:
(i) Shear force (ii) Bending moment (iii) Point of contra flexure
03
2
(b) Find out support reactions for the beam as shown in fig.
04
(c) Draw shear force and bending moment diagram (and axial thrust
diagram, if it is) giving values at all important points for the
following beam:
07
OR
Q.3 (a) Discuss critically the assumption made in theory of Bending. 03
(b) A hollow circular beam having outside dia. twice the inside dia. is
subjected to a bending moment of 40 KN.m. If permissible bending
stress in the beam is 106 N/mm
2
, find the dia. of beam.
04
(c) Draw only shape of shear stress distribution diagram for the
following sections :
(i) T section , (ii) symmetrical I section , (iii) Triangular
section , (iv) H section, (v) Rectangular section (vi)
circular section (vii) L section.
07
Q.4 (a) Define:
(1) Centroid,
(2) Center of gravity,
(3) Center of mass.
03
(b) State and explain Pappus-Guldinus theorem I & II 04
(c) From first principle find the moment of inertia of
(1) Rectangle ?b? x ?d? @ top face
(2) Triangle ?b? (base) x ?h? (altitude) @ base
Apply parallel axes theorem, find M.I @ respective centroidal axis
for all cases mentioned above.
07
OR
Q.4 (a) Explain the following terms:
(i) Space (ii) Mass (iii) Particle
03
(b) The bar shown in fig.1 find the diameter of middle stress is
limited to 130 MN/m
2
. Find also the length of middle portion if
the total elongation of bar is 0.15mm.Take E = 200 GN/m
2
.
04
(c) A ladder AB having length 4 meter and weighing 196 N is resting
against a rough wall and a rough floor. Calculate the minimum
horizontal force P required to be applied at 1 meter inclined length
of ladder from bottom of ladder in order to push the ladder towards
the wall. Assume ?f = 0.3 and ?w = 0.2.
07
3
Q.5 (a) Derive the relation T/Ip = C?/L for circular shaft with usual
notations.
03
(b) Find resultant for the given force system as shown in fig.
04
(c) A composite shaft ABC is composed of 500 mm length and 100
mm dia. of solid copper (AB) and 1000 mm length and 125 mm
dia. of solid steel (BC). Torque transmitted by the shaft is 15kNm.
Find (i) Max. Shear stress in each material (ii) Total angle of twist.
Take Cc = 40 GN/m
2
and Gs=85GN/m
2
.
07
OR
Q.5 (a) Define coefficient of friction, Angle of friction, Angle of Repose. 03
(b) Explain Principal plane, Principal stress, and Mohr?s circle
construction for ?like stresses?.
04
(c) Two mutually perpendicular planes of an element of material are
subjected to direct stresses of 10.5 MN/m
2
(tensile) and 3.5
MN/m
2
(comp.)and shear stress of 7 MN/m
2
. Find (i) magnitude
and direction of principal stresses and (ii) Magnitude of the normal
and shear stresses on a plane on which the shear stress is maximum.
07
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This post was last modified on 20 February 2020