Download GTU (Gujarat Technological University) BE/BTech (Bachelor of Engineering / Bachelor of Technology) 2019 Winter 3rd Sem New 2130003 Mechanics Of Solids Previous Question Paper
Seat No.: ________ Enrolment No.___________
GUJARAT TECHNOLOGICAL UNIVERSITY
BE - SEMESTER ? III (New) EXAMINATION ? WINTER 2019
Subject Code: 2130003 Date: 26/11/2019
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.
MARKS
Q.1 (a) Define: (i) Equilibriant force (ii) Principle of
superposition (iii) Principle of transmissibility
03
(b) State and explain Lami?s theorem. 04
(c) Determine the resultant of the force system shown in
Fig:[1]
07
Q.2 (a) Explain : Varignon?s theorem 03
(b) Define : (i) Angle of friction (ii) Limiting friction
(iii) Coefficient of friction (iv) Angle of repose
04
(c) Four forces are acting on the rectangle plate as shown in
Fig:[2]. Find out magnitude, direction and location of
resultant with respect to point A.
07
OR
(c) A 10 m long ladder rests against a vertical wall with
which it makes an angle of 45?. If a man whose weight is
one half of that ladder, climbs on that ladder. At what
distances along the ladder will be the man, when the
ladder is about to slip? (? = 0.3 between ladder & wall &
? =0.5 between ladder &wall)
07
Q.3 (a) Define : (i) Theorem of Parallel Axes (ii) Theorem of
Perpendicular Axes (iii) Radius of Gyration
03
(b) Determine the centroid of given lamina as shown in
Fig:[3].
04
(c) Determine the moment of inertia for given lamina about
axes passing through centroid as shown in Fig:[4].
07
OR
Q.3 (a) Enlist the assumptions made in theory of pure torsion. 03
(b) State and explain theorems of Pappus-Guldinus. 04
(c) A hollow cylindrical steel shaft is 1.5m long. Inner and
outer diameters of shaft are equal to 40 and 60mm
respectively.(i) Find out the largest torque which may be
applied to the shaft if the shearing stress is not to exceed
120MPa (ii) Find out the corresponding minimum value
of the shearing stress in the shaft.
07
Q.4 (a) Explain : (i) Type of beams (ii) Type of loading on the
beams.
03
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Page 1 of 3
Seat No.: ________ Enrolment No.___________
GUJARAT TECHNOLOGICAL UNIVERSITY
BE - SEMESTER ? III (New) EXAMINATION ? WINTER 2019
Subject Code: 2130003 Date: 26/11/2019
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.
MARKS
Q.1 (a) Define: (i) Equilibriant force (ii) Principle of
superposition (iii) Principle of transmissibility
03
(b) State and explain Lami?s theorem. 04
(c) Determine the resultant of the force system shown in
Fig:[1]
07
Q.2 (a) Explain : Varignon?s theorem 03
(b) Define : (i) Angle of friction (ii) Limiting friction
(iii) Coefficient of friction (iv) Angle of repose
04
(c) Four forces are acting on the rectangle plate as shown in
Fig:[2]. Find out magnitude, direction and location of
resultant with respect to point A.
07
OR
(c) A 10 m long ladder rests against a vertical wall with
which it makes an angle of 45?. If a man whose weight is
one half of that ladder, climbs on that ladder. At what
distances along the ladder will be the man, when the
ladder is about to slip? (? = 0.3 between ladder & wall &
? =0.5 between ladder &wall)
07
Q.3 (a) Define : (i) Theorem of Parallel Axes (ii) Theorem of
Perpendicular Axes (iii) Radius of Gyration
03
(b) Determine the centroid of given lamina as shown in
Fig:[3].
04
(c) Determine the moment of inertia for given lamina about
axes passing through centroid as shown in Fig:[4].
07
OR
Q.3 (a) Enlist the assumptions made in theory of pure torsion. 03
(b) State and explain theorems of Pappus-Guldinus. 04
(c) A hollow cylindrical steel shaft is 1.5m long. Inner and
outer diameters of shaft are equal to 40 and 60mm
respectively.(i) Find out the largest torque which may be
applied to the shaft if the shearing stress is not to exceed
120MPa (ii) Find out the corresponding minimum value
of the shearing stress in the shaft.
07
Q.4 (a) Explain : (i) Type of beams (ii) Type of loading on the
beams.
03
Page 2 of 3
(b) Determine support reaction for the given beam shown in
Fig:[5].
04
(c) Draw shear force and bending moment diagram of the
beam shown in Fig:[6], finding values at all important
points on the beam.
07
OR
Q.4 (a) Explain: Neutral axis, Neutral layer, Moment of
resistance
03
(b) A circular beam 200mm dia. is subjected to shear force
of 9 KN. Calculate the value of maximum shear stress
and sketch the variation of shear stress along the depth of
beam.
04
(c) A beam of I-section, 5 m in length is simply supported at
each end and bears a u.d.l. of 8kN/m as shown in Fig:[7].
Determine (i) maximum tensile and compressive bending
stress, (ii) bending stress at a point 25 mm below the
upper surface of the beam at the same section
07
Q.5 (a) Define and explain : (i) Modulus of Elasticity (ii)
Poisson?s ratio (iii) Modulus of rigidity
03
(b) A load of 1900 kN is applied on a short concrete column
300 mm x 200 mm. The column is reinforced with four
steel bars of 10 mm diameter, one in each corner. Find
the stresses in the concrete and steel bars. Take E for
steel as 2.1 x 10
5
N/mm
2
and for concrete as 1.4 x 10
4
N/mm
2
.
04
(c) A steel bar is placed between two copper bars each
having the same area and length as the steel bar at 15?C.
At this stage, they are rigidly connected together at both
the ends. When the temperature is raised to 315?C, the
length of the bars increases by 1.5 mm. Determine final
stresses in the bar and original length of the bar.
Esteel = 210 GN/m
2
, Ecopper = 110 GN/m
2
,
? (steel) = 0.000012 /?C, ?(copper)= 0.0000175 /?C
07
OR
Q.5 (a) Define principal planes and principal stresses. 03
(b) Determine the Poisson?s ratio and Bulk modulus of a
material, for which Young?s modulus is 1.2x10
5
N/mm
2
and Modulus of rigidity is 4.5x10
4
N/mm
2
.
04
(c) For an element shown in Fig:[8], find (i) Principal
stresses and location of corresponding principal planes
(ii) Maximum shear stress and location of planes
containing it.
07
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Page 1 of 3
Seat No.: ________ Enrolment No.___________
GUJARAT TECHNOLOGICAL UNIVERSITY
BE - SEMESTER ? III (New) EXAMINATION ? WINTER 2019
Subject Code: 2130003 Date: 26/11/2019
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.
MARKS
Q.1 (a) Define: (i) Equilibriant force (ii) Principle of
superposition (iii) Principle of transmissibility
03
(b) State and explain Lami?s theorem. 04
(c) Determine the resultant of the force system shown in
Fig:[1]
07
Q.2 (a) Explain : Varignon?s theorem 03
(b) Define : (i) Angle of friction (ii) Limiting friction
(iii) Coefficient of friction (iv) Angle of repose
04
(c) Four forces are acting on the rectangle plate as shown in
Fig:[2]. Find out magnitude, direction and location of
resultant with respect to point A.
07
OR
(c) A 10 m long ladder rests against a vertical wall with
which it makes an angle of 45?. If a man whose weight is
one half of that ladder, climbs on that ladder. At what
distances along the ladder will be the man, when the
ladder is about to slip? (? = 0.3 between ladder & wall &
? =0.5 between ladder &wall)
07
Q.3 (a) Define : (i) Theorem of Parallel Axes (ii) Theorem of
Perpendicular Axes (iii) Radius of Gyration
03
(b) Determine the centroid of given lamina as shown in
Fig:[3].
04
(c) Determine the moment of inertia for given lamina about
axes passing through centroid as shown in Fig:[4].
07
OR
Q.3 (a) Enlist the assumptions made in theory of pure torsion. 03
(b) State and explain theorems of Pappus-Guldinus. 04
(c) A hollow cylindrical steel shaft is 1.5m long. Inner and
outer diameters of shaft are equal to 40 and 60mm
respectively.(i) Find out the largest torque which may be
applied to the shaft if the shearing stress is not to exceed
120MPa (ii) Find out the corresponding minimum value
of the shearing stress in the shaft.
07
Q.4 (a) Explain : (i) Type of beams (ii) Type of loading on the
beams.
03
Page 2 of 3
(b) Determine support reaction for the given beam shown in
Fig:[5].
04
(c) Draw shear force and bending moment diagram of the
beam shown in Fig:[6], finding values at all important
points on the beam.
07
OR
Q.4 (a) Explain: Neutral axis, Neutral layer, Moment of
resistance
03
(b) A circular beam 200mm dia. is subjected to shear force
of 9 KN. Calculate the value of maximum shear stress
and sketch the variation of shear stress along the depth of
beam.
04
(c) A beam of I-section, 5 m in length is simply supported at
each end and bears a u.d.l. of 8kN/m as shown in Fig:[7].
Determine (i) maximum tensile and compressive bending
stress, (ii) bending stress at a point 25 mm below the
upper surface of the beam at the same section
07
Q.5 (a) Define and explain : (i) Modulus of Elasticity (ii)
Poisson?s ratio (iii) Modulus of rigidity
03
(b) A load of 1900 kN is applied on a short concrete column
300 mm x 200 mm. The column is reinforced with four
steel bars of 10 mm diameter, one in each corner. Find
the stresses in the concrete and steel bars. Take E for
steel as 2.1 x 10
5
N/mm
2
and for concrete as 1.4 x 10
4
N/mm
2
.
04
(c) A steel bar is placed between two copper bars each
having the same area and length as the steel bar at 15?C.
At this stage, they are rigidly connected together at both
the ends. When the temperature is raised to 315?C, the
length of the bars increases by 1.5 mm. Determine final
stresses in the bar and original length of the bar.
Esteel = 210 GN/m
2
, Ecopper = 110 GN/m
2
,
? (steel) = 0.000012 /?C, ?(copper)= 0.0000175 /?C
07
OR
Q.5 (a) Define principal planes and principal stresses. 03
(b) Determine the Poisson?s ratio and Bulk modulus of a
material, for which Young?s modulus is 1.2x10
5
N/mm
2
and Modulus of rigidity is 4.5x10
4
N/mm
2
.
04
(c) For an element shown in Fig:[8], find (i) Principal
stresses and location of corresponding principal planes
(ii) Maximum shear stress and location of planes
containing it.
07
Page 3 of 3
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This post was last modified on 20 February 2020