A round steel bar of overall length 40 cm consists of two equal portions of 20 cm each having diameters of 10 cm and 8 cm respectively. Take E as 2 × 106 kg/cm2. If the rod is subjected to a tensile load of 10 tonnes, the elongation in cm will be given by

\(\frac{3}{{10\pi }}\left[ {\frac{1}{{20}} + \frac{1}{{15}}} \right]\)

\(\frac{8}{{10\pi }}\left[ {\frac{1}{{10}} + \frac{1}{{15}}} \right]\)

\(\frac{2}{{10\pi }}\left[ {\frac{1}{{25}} + \frac{1}{{30}}} \right]\)

\(\frac{1}{{10\pi }}\left[ {\frac{1}{{25}} + \frac{1}{{16}}} \right]\)

Choose the CORRECT option which satisfies the Hooke’s law.

\(\sigma \propto \frac{1}{\varepsilon }\)

\(\sigma = \varepsilon \;and\;\sigma \; \propto \;\frac{1}{\varepsilon }both\)

For a material what would be the shape of the failure surface of standard cast iron specimen subjected to torque?

Plane surface perpendicular to the axis of specimen

Pyramid type wedge – shaped surface perpendicular to the axis of specimen

Helicoid surface at 45° to the axis of specimen

Maximum shear stress in a Mohr’s circle.

Is greater than radius of Mohr’s circle

Is equal to radius of Mohr’s circle

Is greater than radius of Mohr’s circle

Is less than radius of Mohr’s circle

A brass tube fits tightly into a steel tube. To loosen the brass tube from steel tube.

Only steel tube should be cooled

Only brass tube should be heated

In a linearly hardening plastic material, the true stress beyond initial yielding

decreases linearly with the true strain

increases linearly with the true strain

decreases linearly with the true strain

first increases linearly and then decreases linearly with the true strain

A body is subjected to a direct stress 'σ' in one plane accompanied by a simple shear stress 'τ', the maximum normal stress is

\(\frac{\sigma }{2} - \frac{1}{2}\sqrt {{\sigma ^2} + 4{\tau ^2}} \)

\(\frac{\sigma }{2} + \frac{1}{2}\sqrt {{\sigma ^2} + 4{\tau ^2}} \)

\(\frac{\sigma }{2} - \frac{1}{2}\sqrt {{\sigma ^2} + 4{\tau ^2}} \)

\(\frac{\sigma }{2} + \frac{1}{2}\sqrt {{\sigma ^2} - 4{\tau ^2}} \)

\(\frac{\sigma }{2} - \frac{1}{2}\sqrt {{\sigma ^2} - 4{\tau ^2}} \)

A rod of length L having uniform cross-sectional area A is subjected to a tensile force P as shown in the figure below. If the Young’s modulus of the material varies linearly from E1 to E2 along the length of the rod, the normal stress developed at the section-SS is

\(\frac{{P\left( {{E_1} - {E_2}} \right)}}{{A\left( {{E_1} + {E_2}} \right)}}\)

A carpenter glues a pair of cylindrical wooden logs by bonding their end faces at an angle of θ = 30° as shown in the figure.The glue used at the interface fails ifCriterion 1: the maximum normal stress exceeds 2.5 MPa.Criterion 2: the maximum shear stress exceeds 1.5 MPa.Assume that the interface fails before the logs fail. When a uniform tensile stress of 4 MPa is applied, the interface

fails only because of criterion 1

fails only because of criterion 2

fails because of both criteria 1 and 2

At the principal planes

The tensile and compressive stresses are zero

The normal stress is maximum or minimum and shear is zero

The tensile and compressive stresses are zero

The tensile stress is zero and the shear stress is maximum

A circular rod of length ‘L’ and area of cross-section ‘A’ has a modulus of elasticity ‘E’ and coefficient of thermal expansion ‘α’. One end of the rod is fixed and other end is free. If the temperature of the rod is increased by ΔT, then

Stress developed in the rod is \(E\alpha\Delta T \) and strain developed in the rod is zero

Stress developed in the rod is \(E\alpha\Delta T \) and strain developed in the rod is \(\alpha\Delta T \)

Both stress and strain developed in the rod are zero

Stress developed in the rod is zero and strain developed in the rod is \(\alpha\Delta T \)

Stress developed in the rod is \(E\alpha\Delta T \) and strain developed in the rod is zero

For a ductile material, the limiting value of octahedral shear stress (τ0) is related to the yield stress (Sy) as

\(\tau_o=S_y \frac{\sqrt2}{3}\)

\(\tau_o=S_y \frac{\sqrt3}{2}\)

In a Mohr circle, the shear stress τ1 on the plane of maximum obliquity is

More than the maximum shear stress τmax

Less than the maximum shear stress τmax

More than the maximum shear stress τmax

Equal to the maximum shear stress τmax

Numerically equal to (σ1 – σ3 ) / 2

For a two dimensional state-of-stress as \(\sigma_{xx}\) = \(\sigma_{yy}\) = \(\tau_{xy}\) = S, the Mohr's circle of stress has

Center at (S/2, 0) and radius 2S

427 + Mcqs in Stress Strain in Materials Science Page 4 McqOptions

151.	Choose the correct statements from the following:1. Hooke’s law is valid up to the limit of proportionality.2. Hooke’s law is valid up to elastic limit.3. Limit of proportionality is always less than the elastic limit.4. Limit of proportionality is either equal to or less than the elastic limit.The correct answer is
A.	1 and 4
B.	2 and 4
C.	1 and 3
D.	2 and 3
Answer» B. 2 and 4

Discussion

152.	A round steel bar of overall length 40 cm consists of two equal portions of 20 cm each having diameters of 10 cm and 8 cm respectively. Take E as 2 × 106 kg/cm2. If the rod is subjected to a tensile load of 10 tonnes, the elongation in cm will be given by
A.	\(\frac{3}{{10\pi }}\left[ {\frac{1}{{20}} + \frac{1}{{15}}} \right]\)
B.	\(\frac{8}{{10\pi }}\left[ {\frac{1}{{10}} + \frac{1}{{15}}} \right]\)
C.	\(\frac{2}{{10\pi }}\left[ {\frac{1}{{25}} + \frac{1}{{30}}} \right]\)
D.	\(\frac{1}{{10\pi }}\left[ {\frac{1}{{25}} + \frac{1}{{16}}} \right]\)
Answer» E.

Discussion

153.	Elongation of a bar due to its self-weight is computed by ______, where L- length of the bar, E-Young’s modulus of elasticity and W - total weight the bar material.
A.	WL2/2AE
B.	WL/4AE
C.	WL/2AE
D.	WL/8AE
Answer» D. WL/8AE

Discussion

154.	Choose the CORRECT option which satisfies the Hooke’s law.
A.	\(\sigma \propto \frac{1}{\varepsilon }\)
B.	\(\sigma \propto \varepsilon\)
C.	\(\sigma = \varepsilon\)
D.	\(\sigma = \varepsilon \;and\;\sigma \; \propto \;\frac{1}{\varepsilon }both\)
Answer» C. \(\sigma = \varepsilon\)

Discussion

155.	For a material what would be the shape of the failure surface of standard cast iron specimen subjected to torque?
A.	Cup and cone
B.	Plane surface perpendicular to the axis of specimen
C.	Pyramid type wedge – shaped surface perpendicular to the axis of specimen
D.	Helicoid surface at 45° to the axis of specimen
Answer» E.

Discussion

156.	For the state of stress shown in the below figure, normal stress acting on the plane of maximum shear stress is -
A.	25 MPa tension
B.	75 MPa compression
C.	25 MPa compression
D.	75 MPa tension
Answer» B. 75 MPa compression

Discussion

157.	A tensile load of 500 N is applied to a circular rod of diameter 5 mm. The normal stress is approximately
A.	100 N/mm2
B.	25 MPa
C.	100 N/cm2
D.	25 Nmm
Answer» C. 100 N/cm2

Discussion

158.	A solid cube is subjected to equal normal forces on all its faces. Volumetric strain will be how many times of the linear strain.
A.	4
B.	3
C.	1
D.	2
Answer» C. 1

Discussion

159.	A solid rod of 12 mm diameter was tested for tensile strength with the gauge length of 50 mm. Final length = 80 mm; Final diameter = 4 mm; Yield load = 1130 N. What is the nearest yield stress and % reduction in area respectively?
A.	10 MPa and 10%
B.	90 MPa and 90%
C.	10 MPa and 90%
D.	90 MPa and 10%
Answer» D. 90 MPa and 10%

Discussion

160.	An aluminum tensile test specimen has a diameter, do = 25 mm and a gauge length of Lo = 250 mm. If a force of 175 kN elongates the gauge length by 1.25 mm, the modulus of elasticity of the material is nearly
A.	71 GPa
B.	71 MPa
C.	142 GPa
D.	142 MPa
Answer» B. 71 MPa

Discussion

161.	Maximum shear stress in a Mohr’s circle.
A.	Is equal to radius of Mohr’s circle
B.	Is greater than radius of Mohr’s circle
C.	Is less than radius of Mohr’s circle
D.	Could be any of the above.
Answer» B. Is greater than radius of Mohr’s circle

Discussion

162.	Aluminum rod with original length I0 is strained. The length of the rod at any instant is given by L(t) = L0(1 + t2), where t is in minutes. The true strain rate at the end of 3 minutes will be:
A.	9
B.	0.9
C.	0.6
D.	6
Answer» D. 6

Discussion

163.	According to Mohr's circle, the shear stress is maximum when:
A.	θ = 45°
B.	θ = 90°
C.	θ = 180°
D.	θ = 0°
E.	θ = 120°
Answer» B. θ = 90°

Discussion

164.	A steel rod of cross-sectional area 10 mm2 is subjected to loads at points P, Q, R and S as shown in the figure below:If Esteel = 200 GPa, the total change in length of the rod due to loading is
A.	-5 μm
B.	-10 μm
C.	-20 μm
D.	-25 μm
Answer» E.

Discussion

165.	A prismatic bar of rectangular cross- section is suspended freely from the ceiling of a roof. If all dimensions of the bar are doubled, then the total elongation produced by its own weight will increase by:
A.	8 times
B.	6 times
C.	2 times
D.	4 times
Answer» E.

Discussion

166.	If the Young’s modulus and Poission’s ratio of the container material are 100 GPa and 0.3, respectively, the axial strain in the cylinder wall at mid-depth is
A.	2 × 10-5
B.	6 × 10-5
C.	7 × 10-5
D.	1.2 × 10-4
Answer» B. 6 × 10-5

Discussion

167.	A bimetallic cylindrical bar of cross-sectional area 1 m2 is made by bonding Steel (Young’s modulus = 210 GPa) and Aluminum (Young’s modulus = 70 GPa) as shown in the figure. To maintain tensile axial strain of magnitude 10-6 in Steel bar and compressive axial strain of magnitude 10-6 in Aluminum bar, the magnitude of the required force P (in kN) along the indicated direction is
A.	17
B.	140
C.	210
D.	280
Answer» E.

Discussion

168.	For the state of stress shown in the figure, the maximum and minimum principal stresses (taking tensile stress as +ve, and compressive stress as -ve will be
A.	95 MPa and (-35) MPa
B.	60 MPa and 30 MPa
C.	95 MPa and (-30) MPa
D.	60 MPa and 35 MPa
Answer» B. 60 MPa and 30 MPa

Discussion

169.	A brass tube fits tightly into a steel tube. To loosen the brass tube from steel tube.
A.	The assembly should be cooled
B.	The assembly should be heated
C.	Only steel tube should be cooled
D.	Only brass tube should be heated
Answer» B. The assembly should be heated

Discussion

170.	Compressibility is the reciprocal of -
A.	Bulk modulus of elasticity
B.	Rigidity Modulus of elasticity
C.	Shear modulus of elasticity
D.	Young's modulus of elasticity
Answer» B. Rigidity Modulus of elasticity

Discussion

171.	A steel rod of 20 mm diameter and 500 mm long is subjected to an axial pull of 30 kN. If E = 2 × 105 N/mm2, the elongation of the rod will be
A.	0.239 mm
B.	0.0239 mm
C.	0.00239 mm
D.	23.9 mm
Answer» B. 0.0239 mm

Discussion

172.	In a linearly hardening plastic material, the true stress beyond initial yielding
A.	increases linearly with the true strain
B.	decreases linearly with the true strain
C.	first increases linearly and then decreases linearly with the true strain
D.	remains constant
Answer» B. decreases linearly with the true strain

Discussion

173.	In the case of pure bending, the beam will bend into an arc of a
A.	circle
B.	parabola
C.	ellipse
D.	hyperbola
Answer» B. parabola

Discussion

174.	A certain wire stretches 0.90 cm when outward forces with magnitude F are applied to each end. The same forces are applied to a wire of the same material but with three times the diameter and three times the length. The second wire stretches
A.	0.10 cm
B.	0.30 cm
C.	0.90 cm
D.	2.7 cm
Answer» C. 0.90 cm

Discussion

175.	A free bar of length 1 m is uniformly heated from 0°C to a temperature t°C. If α is the coefficient of linear expansion and E is the Modulus of Elasticity. The stress in the bar is
A.	αTE
B.	E/αT
C.	Zero
D.	None of the above
Answer» D. None of the above

Discussion

176.	A body is subjected to a direct stress 'σ' in one plane accompanied by a simple shear stress 'τ', the maximum normal stress is
A.	\(\frac{\sigma }{2} + \frac{1}{2}\sqrt {{\sigma ^2} + 4{\tau ^2}} \)
B.	\(\frac{\sigma }{2} - \frac{1}{2}\sqrt {{\sigma ^2} + 4{\tau ^2}} \)
C.	\(\frac{\sigma }{2} + \frac{1}{2}\sqrt {{\sigma ^2} - 4{\tau ^2}} \)
D.	\(\frac{\sigma }{2} - \frac{1}{2}\sqrt {{\sigma ^2} - 4{\tau ^2}} \)
Answer» B. \(\frac{\sigma }{2} - \frac{1}{2}\sqrt {{\sigma ^2} + 4{\tau ^2}} \)

Discussion

177.	A rod of length L having uniform cross-sectional area A is subjected to a tensile force P as shown in the figure below. If the Young’s modulus of the material varies linearly from E1 to E2 along the length of the rod, the normal stress developed at the section-SS is
A.	P/A
B.	\(\frac{{P\left( {{E_1} - {E_2}} \right)}}{{A\left( {{E_1} + {E_2}} \right)}}\)
C.	\(\frac{{P{E_2}}}{{A{E_1}}}\)
D.	\(\frac{{P{E_1}}}{{A{E_2}}}\)
Answer» B. \(\frac{{P\left( {{E_1} - {E_2}} \right)}}{{A\left( {{E_1} + {E_2}} \right)}}\)

Discussion

178.	Ductility of material is indicated by
A.	Ultimate strength
B.	Endurance strength
C.	Yield strength
D.	Elongation
Answer» E.

Discussion

179.	Charpy’s V notch test is done on a building material to determine
A.	Brittleness
B.	Abrasion
C.	Hardness
D.	Elasticity
Answer» B. Abrasion

Discussion

180.	A rigid body is very slowly dropped on another body and a deflection δst occurs in the second body. If the rigid body be placed suddenly, the value of the impact factor will be:
A.	0
B.	1
C.	∞
D.	2
Answer» E.

Discussion

181.	A steel rod whose diameter is 2 cm and is 2 m long, experiences heating of temperature 30°C to 150°C. The coefficient of thermal expansion is α = 12 × 10-6/°C and Young’s modulus is 200 GPa. If the rod has been restricted to its original position, then the thermal stress (MPa) developed will be ________.
A.	234
B.	256
C.	288
D.	300
Answer» D. 300

Discussion

182.	In mild steel specimens subjected to tensile test cycle, the elastic limit in tension in raised and the elastic limit in compression is lowered. This is called
A.	Annealing effect
B.	Bauschinger effect
C.	Strain rate effect
D.	Fatigue effect
Answer» C. Strain rate effect

Discussion

183.	Consider a two-dimensional state of stress for an element where, σx = 200 MPa σy = -100 MPa .The co-ordinates of the centre of Mohr’s circle are
A.	(0, 0)
B.	(100, 200)
C.	(200, 100)
D.	(50, 0)
Answer» E.

Discussion

184.	A carpenter glues a pair of cylindrical wooden logs by bonding their end faces at an angle of θ = 30° as shown in the figure.The glue used at the interface fails ifCriterion 1: the maximum normal stress exceeds 2.5 MPa.Criterion 2: the maximum shear stress exceeds 1.5 MPa.Assume that the interface fails before the logs fail. When a uniform tensile stress of 4 MPa is applied, the interface
A.	fails only because of criterion 1
B.	fails only because of criterion 2
C.	fails because of both criteria 1 and 2
D.	does not fail
Answer» D. does not fail

Discussion

185.	Consider the following statements:A. There are only two independent elastic constantB. Elastic constants are different in orthogonal directionC. Material properties are same every whereD. Elastic constants are same in all loading directionE. The material has ability to withstand shock loadingWhich of the above statements are true for a linearly elastic, homogeneous and isotropic material?
A.	Only A, C, D and E
B.	Only B, C and D
C.	Only A, C and D
D.	Only B and E
Answer» B. Only B, C and D

Discussion

186.	A brittle material of 4 sq. m cross section carries an axial tensile load of 20 tonnes. What will be the maximum shear stress in the block?
A.	1250 kg/cm2
B.	1000 kg/cm2
C.	500 kg/cm2
D.	None of these
Answer» E.

Discussion

187.	In a simple stress-strain test, the volumetric strain is equal to ________ strain.
A.	two times the shear
B.	three times the linear
C.	two times the linear
D.	three times the shear
Answer» C. two times the linear

Discussion

188.	At the principal planes
A.	The normal stress is maximum or minimum and shear is zero
B.	The tensile and compressive stresses are zero
C.	The tensile stress is zero and the shear stress is maximum
D.	No stress acts
Answer» B. The tensile and compressive stresses are zero

Discussion

189.	A square bar of size 10 mm × 10 mm and length 1000 mm is subjected to 200 N axial tensile force. The bar is made of mild steel having modulus of elasticity of 200 GPa. Find the strain energy density stored in the bar under this state of loading?
A.	10 J/m3
B.	20 J/m3
C.	2 J/m3
D.	5 J/m3
Answer» B. 20 J/m3

Discussion

190.	A circular rod of length ‘L’ and area of cross-section ‘A’ has a modulus of elasticity ‘E’ and coefficient of thermal expansion ‘α’. One end of the rod is fixed and other end is free. If the temperature of the rod is increased by ΔT, then
A.	Stress developed in the rod is \(E\alpha\Delta T \) and strain developed in the rod is \(\alpha\Delta T \)
B.	Both stress and strain developed in the rod are zero
C.	Stress developed in the rod is zero and strain developed in the rod is \(\alpha\Delta T \)
D.	Stress developed in the rod is \(E\alpha\Delta T \) and strain developed in the rod is zero
Answer» D. Stress developed in the rod is \(E\alpha\Delta T \) and strain developed in the rod is zero

Discussion

191.	If all the dimensions of a prismatic bar are increases in the proportion n : 1, the proportion with which the maximum stress produced in the bar by its own weight will change by
A.	1 : n2
B.	1 : n
C.	√n : 1
D.	n : 1
Answer» E.

Discussion

192.	A square bar of size 20 mm × 20 mm is subjected to direct tensile force. What is the largest tensile force the bar can sustain if its shear strength is 100 MPa?
A.	100 MPa
B.	50 MPa
C.	200 MPa
D.	150 MPa
Answer» D. 150 MPa

Discussion

193.	Calculate the change in length of a steel bar whose temperature is raised by 125°C, coefficient of linear expansion α = 12 × 10-6 per degree Celsius, the initial length of bar L = 3 meters
A.	0.045 cm
B.	0.45 cm
C.	4.5 cm
D.	450 cm
Answer» C. 4.5 cm

Discussion

194.	For a ductile material, the limiting value of octahedral shear stress (τ0) is related to the yield stress (Sy) as
A.	\(\tau_o=S_y \frac{\sqrt2}{3}\)
B.	\(\tau_o=S_y 3{\sqrt2}\)
C.	\(\tau_o=S_y \frac{\sqrt3}{2}\)
D.	None of the above
Answer» B. \(\tau_o=S_y 3{\sqrt2}\)

Discussion

195.	A rod made of Aluminium alloy (E = 72 GPa) has length 0.5 m and diameter 10 mm. The tensile stiffness (N/m) of this rod is
A.	10π × 105
B.	36π × 105
C.	9π ×105
D.	12π × 105
E.	36π ×106
Answer» C. 9π ×105

Discussion

196.	For a plane stress problem, the state of stress at a point P is represented by the stress element as shown in the figureBy how much angle (q) in degrees the stress element should be rotated in order to get the planes of maximum shear stress?
A.	26.6
B.	48.3
C.	31.7
D.	13.3
Answer» D. 13.3

Discussion

197.	In a Mohr circle, the shear stress τ1 on the plane of maximum obliquity is
A.	Less than the maximum shear stress τmax
B.	More than the maximum shear stress τmax
C.	Equal to the maximum shear stress τmax
D.	Numerically equal to (σ1 – σ3 ) / 2
Answer» B. More than the maximum shear stress τmax

Discussion

198.	A point in two dimensional Stress state, is subjected to biaxial stress as shown in the given figure. The shear stress acting on the plane AB is
A.	Zero
B.	σ
C.	σ cos2θ
D.	σ sinθ cosθ
Answer» B. σ

Discussion

199.	A steel rod of 30 mm diameter and 3 m length is subjected to an axial pull of 50 kN. If E = 200 × 109 pa, the elongation of the rod will be
A.	2.225 mm
B.	1.062 mm
C.	0.525 mm
D.	3.152 mm
Answer» C. 0.525 mm

Discussion

200.	For a two dimensional state-of-stress as \(\sigma_{xx}\) = \(\sigma_{yy}\) = \(\tau_{xy}\) = S, the Mohr's circle of stress has
A.	Center at (S, 0) and radius S
B.	Center at (0, 0) and radius S
C.	Center at (S, 0) and radius 0
D.	Center at (S/2, 0) and radius 2S
Answer» B. Center at (0, 0) and radius S

Discussion

Explore topic-wise MCQs in Materials Science.

A round steel bar of overall length 40 cm consists of two equal portions of 20 cm each having diameters of 10 cm and 8 cm respectively. Take E as 2 × 106 kg/cm2. If the rod is subjected to a tensile load of 10 tonnes, the elongation in cm will be given by

Elongation of a bar due to its self-weight is computed by ______, where L- length of the bar, E-Young’s modulus of elasticity and W - total weight the bar material.

Choose the CORRECT option which satisfies the Hooke’s law.

For a material what would be the shape of the failure surface of standard cast iron specimen subjected to torque?

For the state of stress shown in the below figure, normal stress acting on the plane of maximum shear stress is -

A tensile load of 500 N is applied to a circular rod of diameter 5 mm. The normal stress is approximately

A solid cube is subjected to equal normal forces on all its faces. Volumetric strain will be how many times of the linear strain.

A solid rod of 12 mm diameter was tested for tensile strength with the gauge length of 50 mm. Final length = 80 mm; Final diameter = 4 mm; Yield load = 1130 N. What is the nearest yield stress and % reduction in area respectively?

An aluminum tensile test specimen has a diameter, do = 25 mm and a gauge length of Lo = 250 mm. If a force of 175 kN elongates the gauge length by 1.25 mm, the modulus of elasticity of the material is nearly

Maximum shear stress in a Mohr’s circle.

Aluminum rod with original length I0 is strained. The length of the rod at any instant is given by L(t) = L0(1 + t2), where t is in minutes. The true strain rate at the end of 3 minutes will be:

According to Mohr's circle, the shear stress is maximum when:

A steel rod of cross-sectional area 10 mm2 is subjected to loads at points P, Q, R and S as shown in the figure below:If Esteel = 200 GPa, the total change in length of the rod due to loading is

A prismatic bar of rectangular cross- section is suspended freely from the ceiling of a roof. If all dimensions of the bar are doubled, then the total elongation produced by its own weight will increase by:

If the Young’s modulus and Poission’s ratio of the container material are 100 GPa and 0.3, respectively, the axial strain in the cylinder wall at mid-depth is

For the state of stress shown in the figure, the maximum and minimum principal stresses (taking tensile stress as +ve, and compressive stress as -ve will be

A brass tube fits tightly into a steel tube. To loosen the brass tube from steel tube.

Compressibility is the reciprocal of -

A steel rod of 20 mm diameter and 500 mm long is subjected to an axial pull of 30 kN. If E = 2 × 105 N/mm2, the elongation of the rod will be

In a linearly hardening plastic material, the true stress beyond initial yielding

In the case of pure bending, the beam will bend into an arc of a

A certain wire stretches 0.90 cm when outward forces with magnitude F are applied to each end. The same forces are applied to a wire of the same material but with three times the diameter and three times the length. The second wire stretches

A free bar of length 1 m is uniformly heated from 0°C to a temperature t°C. If α is the coefficient of linear expansion and E is the Modulus of Elasticity. The stress in the bar is

A body is subjected to a direct stress 'σ' in one plane accompanied by a simple shear stress 'τ', the maximum normal stress is

A rod of length L having uniform cross-sectional area A is subjected to a tensile force P as shown in the figure below. If the Young’s modulus of the material varies linearly from E1 to E2 along the length of the rod, the normal stress developed at the section-SS is

Ductility of material is indicated by

Charpy’s V notch test is done on a building material to determine

A rigid body is very slowly dropped on another body and a deflection δst occurs in the second body. If the rigid body be placed suddenly, the value of the impact factor will be:

In mild steel specimens subjected to tensile test cycle, the elastic limit in tension in raised and the elastic limit in compression is lowered. This is called

Consider a two-dimensional state of stress for an element where, σx = 200 MPa σy = -100 MPa .The co-ordinates of the centre of Mohr’s circle are

A brittle material of 4 sq. m cross section carries an axial tensile load of 20 tonnes. What will be the maximum shear stress in the block?

In a simple stress-strain test, the volumetric strain is equal to ________ strain.

At the principal planes

A square bar of size 10 mm × 10 mm and length 1000 mm is subjected to 200 N axial tensile force. The bar is made of mild steel having modulus of elasticity of 200 GPa. Find the strain energy density stored in the bar under this state of loading?

A circular rod of length ‘L’ and area of cross-section ‘A’ has a modulus of elasticity ‘E’ and coefficient of thermal expansion ‘α’. One end of the rod is fixed and other end is free. If the temperature of the rod is increased by ΔT, then

If all the dimensions of a prismatic bar are increases in the proportion n : 1, the proportion with which the maximum stress produced in the bar by its own weight will change by

A square bar of size 20 mm × 20 mm is subjected to direct tensile force. What is the largest tensile force the bar can sustain if its shear strength is 100 MPa?

Calculate the change in length of a steel bar whose temperature is raised by 125°C, coefficient of linear expansion α = 12 × 10-6 per degree Celsius, the initial length of bar L = 3 meters

For a ductile material, the limiting value of octahedral shear stress (τ0) is related to the yield stress (Sy) as

A rod made of Aluminium alloy (E = 72 GPa) has length 0.5 m and diameter 10 mm. The tensile stiffness (N/m) of this rod is

For a plane stress problem, the state of stress at a point P is represented by the stress element as shown in the figureBy how much angle (q) in degrees the stress element should be rotated in order to get the planes of maximum shear stress?

In a Mohr circle, the shear stress τ1 on the plane of maximum obliquity is

A point in two dimensional Stress state, is subjected to biaxial stress as shown in the given figure. The shear stress acting on the plane AB is

A steel rod of 30 mm diameter and 3 m length is subjected to an axial pull of 50 kN. If E = 200 × 109 pa, the elongation of the rod will be

For a two dimensional state-of-stress as \(\sigma_{xx}\) = \(\sigma_{yy}\) = \(\tau_{xy}\) = S, the Mohr's circle of stress has