A round steel bar of overall length 20 cm consists of two equal portions of 10 cm each having diameter of 4 cm and 5 cm respectively if the rod is subjected to a tensile load of 10 tonnes then what will be the elongation (where modulus of elasticity E = 2 ×106 kg/cm2)?

\(\frac{3}{{10\pi }}\left[ {\frac{1}{{25}} + \frac{1}{{16}}} \right]\)

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

\(\frac{2}{{10\pi }}\left[ {\frac{1}{{25}} + \frac{1}{{16}}} \right]\)

\(\frac{3}{{10\pi }}\left[ {\frac{1}{{25}} + \frac{1}{{16}}} \right]\)

\(\frac{4}{{10\pi }}\left[ {\frac{1}{{25}} + \frac{1}{{16}}} \right]\)

If σ1 and σ3 are the algebraically largest and smallest principal stresses respectively, the value of the maximum shear stress is

\(\sqrt {\frac{{{{\rm{\sigma }}_1} + {{\rm{\sigma }}_3}}}{2}}\)

\(\frac{{{{\rm{\sigma }}_1} + {{\rm{\sigma }}_3}}}{2}\)

\(\frac{{{{\rm{\sigma }}_1} - {{\rm{\sigma }}_3}}}{2}\)

\(\sqrt {\frac{{{{\rm{\sigma }}_1} + {{\rm{\sigma }}_3}}}{2}}\)

\(\sqrt {\frac{{{{\rm{\sigma }}_1} - {{\rm{\sigma }}_3}}}{2}} \)

An isotropic elastic material is characterized by

Two independent moduli of elasticity along two mutually perpendicular directions

Two independent moduli of elasticity along two mutually perpendicular directions and Poisson’s ratio

A modulus of elasticity, a modulus of rigidity and Poisson ‘ratio

Any two out of a modulus of elasticity, a modulus of rigidity and Poisson’s ratio

A strain gauge oriented in a direction at an angle θ with x-axis, measures:

εx cos2 θ + εy sin2 θ - τxy cos θ sin θ

εxsin2 θ + εycos2 θ + τxycos θ sin θ

εx cos2 θ + εy sin2 θ + 2τxy cos θ sin θ

εx cos2 θ + εy sin2 θ + τxy cos θ sin θ

εx cos2 θ + εy sin2 θ - τxy cos θ sin θ

In a tensile test on mild steel specimen, the actual breaking stress as compared to ultimate tensile stress is:-

More/less depending on composition

A Mohr’s circle reduces to a point when the body is subjected to

Equal and opposite axial stresses on two mutually perpendicular planes, the planes being free of shear

Equal axial stresses on two mutually perpendicular planes, the planes being free of shear.

Poisson's ratio is μ defined as the ratio of

axial strain to transverse strain

In a compression test the fracture in cast iron specimen would occur along,

At right angles to the specimen axis

Fracture will not occur in cast iron

427 + Mcqs in Stress Strain in Materials Science Page 3 McqOptions

101.	A steel bar 100 mm long is subjected to a tensile stress σ. If change in length of bar is 0.05 mm what is the value of σ? Given E = 200 GPa
A.	200 MPa
B.	100 MPa
C.	80 MPa
D.	150 MPa
Answer» C. 80 MPa

Discussion

102.	A steel bar of 8 mm is heated from 10° C to 25° C and the bar is free to expand. The bar will induce
A.	Tensile stress
B.	No stress
C.	Compressive stress
D.	Shear stress
Answer» C. Compressive stress

Discussion

103.	A steel rod is subjected to a stress of 200 MPa and has Young’s modulus of 200 GPa. Calculate strain.
A.	10-4
B.	10-3
C.	10-1
D.	10-2
Answer» C. 10-1

Discussion

104.	A specimen of an alloy is made into a cylindrical bar of 12.00 mm diameter and 200.00 mm length. This bar is loaded in axial tension up to the proportional limit when the load is 40 kN. At this load the length was measured as 201 mm and diameter was measured as 11.98 mm. What will be the Poisson’s ration?
A.	0.25
B.	0.29
C.	0.33
D.	0.38
Answer» D. 0.38

Discussion

105.	A mild steel bar is subjected to an axial force P, resulting in an axial stress σx = 100 N/mm2. What would be the normal stress σn on a plane n-n making an angle θ = 45° with its axis?
A.	25 N/mm2
B.	40 N/mm2
C.	50 N/mm2
D.	100 N/mm2
Answer» D. 100 N/mm2

Discussion

106.	A shaft subjected to torsion experiences a pure shear stress τ on the surface. The maximum principal stress on the surface which is at 45° to the axis will have a value
A.	τ cos 45°
B.	2τ cos 45°
C.	2τ sin 45°cos 45°
D.	τ cos2 45°
Answer» D. τ cos2 45°

Discussion

107.	If all the dimension of a prismatic bar be increased in the ratio of k : 1, then maximum stress produced in the bar due to its own weight will increase in the following
A.	1 : k
B.	k3 : 1
C.	k2 : 1
D.	k : 1
Answer» E.

Discussion

108.	A member ABCD is subjected to a force system as shown in the figureThe resistive force in the part BC is
A.	365 (compressive)
B.	450 (tensile)
C.	85 (compressive)
D.	320 (compressive)
Answer» E.

Discussion

109.	A round steel bar of overall length 20 cm consists of two equal portions of 10 cm each having diameter of 4 cm and 5 cm respectively if the rod is subjected to a tensile load of 10 tonnes then what will be the elongation (where modulus of elasticity E = 2 ×106 kg/cm2)?
A.	\(\frac{1}{{10\pi }}\left[ {\frac{1}{{25}} + \frac{1}{{16}}} \right]\)
B.	\(\frac{2}{{10\pi }}\left[ {\frac{1}{{25}} + \frac{1}{{16}}} \right]\)
C.	\(\frac{3}{{10\pi }}\left[ {\frac{1}{{25}} + \frac{1}{{16}}} \right]\)
D.	\(\frac{4}{{10\pi }}\left[ {\frac{1}{{25}} + \frac{1}{{16}}} \right]\)
Answer» C. \(\frac{3}{{10\pi }}\left[ {\frac{1}{{25}} + \frac{1}{{16}}} \right]\)

Discussion

110.	Modulus of toughness is the area of the stress-strain diagram up to:
A.	Rupture Point
B.	Yield Point
C.	Limit of Proportionality
D.	Ultimate Point
Answer» B. Yield Point

Discussion

111.	A cross sectional bar of area 700 mm2 is subjected to an axial load as shown in the figure below. What is the value of stress (MPa) in the section RS?
A.	30
B.	40
C.	50
D.	60
Answer» B. 40

Discussion

112.	A rectangular strain rosette, shown in figure, gives following readings in a strain measurement task, ϵ1 = 1000 × 10-6, ϵ2 = 800 × 10-6, ϵ3 = 600 × 10-6. The direction of the major principal strain with respect to gauge 1 is
A.	0°
B.	15°
C.	30°
D.	45°
Answer» B. 15°

Discussion

113.	In a simple tension test, Hooke's law is valid upto the
A.	Elastic limit
B.	Limit of proportionality
C.	Ultimate stress
D.	Breaking point
Answer» C. Ultimate stress

Discussion

114.	If σ1 and σ3 are the algebraically largest and smallest principal stresses respectively, the value of the maximum shear stress is
A.	\(\frac{{{{\rm{\sigma }}_1} + {{\rm{\sigma }}_3}}}{2}\)
B.	\(\frac{{{{\rm{\sigma }}_1} - {{\rm{\sigma }}_3}}}{2}\)
C.	\(\sqrt {\frac{{{{\rm{\sigma }}_1} + {{\rm{\sigma }}_3}}}{2}}\)
D.	\(\sqrt {\frac{{{{\rm{\sigma }}_1} - {{\rm{\sigma }}_3}}}{2}} \)
Answer» C. \(\sqrt {\frac{{{{\rm{\sigma }}_1} + {{\rm{\sigma }}_3}}}{2}}\)

Discussion

115.	A steel rod 10 m long is at a temperature of 20°C. The rod is heated to a temperature of 60°C. What is the stress-induced in the rod if it is allowed to expand by 4 mm, when E = 200 GPa and α = 12 × 10-6/°C?
A.	64 MPa
B.	48 MPa
C.	32 MPa
D.	16 MPa
Answer» E.

Discussion

116.	A steel rod, 2 m in length. 40 mm in diameter, is subjected to a pull of 70 kN as shown in theTo what length should the bar be bored centrally from one end so that total extension will increase by 20% under the same force (the bore diameter is 25 mm and E is 2 × 105 N/mm2)?
A.	0.46 m
B.	0.55 m
C.	0.87 m
D.	0.62 m
Answer» E.

Discussion

117.	A body is subjected to principle stresses at a point having values as 200 MPa and 100 MPa respectively. What is the value of maximum in-plane shear stress (in MPa)?
A.	25
B.	50
C.	75
D.	100
Answer» C. 75

Discussion

118.	An isotropic elastic material is characterized by
A.	Two independent moduli of elasticity along two mutually perpendicular directions
B.	Two independent moduli of elasticity along two mutually perpendicular directions and Poisson’s ratio
C.	A modulus of elasticity, a modulus of rigidity and Poisson ‘ratio
D.	Any two out of a modulus of elasticity, a modulus of rigidity and Poisson’s ratio
Answer» E.

Discussion

119.	A body is subjected to a direct tensile stress of 400 MPa in one plane accompanied by a simple shear stress of 150 MPa. The maximum normal stress will be
A.	-100 MPa
B.	150 MPa
C.	450 MPa
D.	550 MPa
Answer» D. 550 MPa

Discussion

120.	A 0.75 meter aluminium bar 25 × 10-4 m2 in cross-sectional are attached to a 0.50 meter steel bar 15 × 10-4 m2 in cross-section area, as shown in the figure. Take E (Young’s modulus) value of 200 GPa for steel and 70 GPa for aluminum. Total shortening due to an axial compressive force of 175 kN is
A.	\(\frac{{157}}{{168}}~mm\)
B.	\(\frac{{175}}{{168}}~mm\)
C.	\(\frac{{175}}{{186}}~mm\)
D.	\(\frac{{157}}{{186}}~mm\)
Answer» C. \(\frac{{175}}{{186}}~mm\)

Discussion

121.	A simply supported beam is subjected to a uniformly distributed load. Which of the following statements are true?i. Maximum or minimum shear force occurs where the radius of curvature is zero.ii. Maximum or minimum bending moment occurs where the shear force is zeroiii. Maximum or minimum bending moment occurs where the radius of curvature is zeroiv. Maximum bending moment and maximum shear force occur at the same section
A.	(i) only
B.	(i) and (ii) only
C.	(i), (ii) and (iii)
D.	(ii) and (iii) only
Answer» C. (i), (ii) and (iii)

Discussion

122.	A strain gauge oriented in a direction at an angle θ with x-axis, measures:
A.	εxsin2 θ + εycos2 θ + τxycos θ sin θ
B.	εx cos2 θ + εy sin2 θ + 2τxy cos θ sin θ
C.	εx cos2 θ + εy sin2 θ + τxy cos θ sin θ
D.	εx cos2 θ + εy sin2 θ - τxy cos θ sin θ
Answer» D. εx cos2 θ + εy sin2 θ - τxy cos θ sin θ

Discussion

123.	A steel bar of 40 mm × 40 mm square cross-section is subjected to an axial compressive load of 200 kN. If the length of the bar is 2 m and E = 200 GPa, the magnitude of deformation of the bar will be:
A.	1.25 mm
B.	2.70 mm
C.	4.05 mm
D.	5.40 mm
Answer» B. 2.70 mm

Discussion

124.	A steel wire hangs vertically under its own weight. If its density is 10000 kg/m3 and allowable stress is 3000 kg/cm2 then how much length it can sustain.
A.	2500 m
B.	1250 m
C.	3000 m
D.	5000 m
Answer» D. 5000 m

Discussion

125.	______ is the normal stress when it acts into the area.
A.	shear stress
B.	torsional stress
C.	compressive stress
D.	tensile stress
Answer» D. tensile stress

Discussion

126.	In a tensile test on mild steel specimen, the actual breaking stress as compared to ultimate tensile stress is:-
A.	More
B.	Less
C.	Same
D.	More/less depending on composition
Answer» B. Less

Discussion

127.	If the temperature of a rod of length L is increased by T° C, whose coefficient of linear expansion is α and Young’s modulus is E, then free expansion of the rod due to increase in temperature is given by which of the following expressions?
A.	αTE2L
B.	αT/L
C.	αT/E
D.	None of the above
Answer» E.

Discussion

128.	A penstock pipe of 10 m diameter carries water under a pressure head of 100 m. If the wall thickness is 9 mm, what is the tensile stress, in Mpa, in the pipe wall?
A.	1090
B.	272.5
C.	2725
D.	545
Answer» E.

Discussion

129.	At a point in a body ϵ1 = 0.0004 and ϵ2 = -0.00012 If E =2 × 105 MPa and μ = 0.3, the smallest normal stress and the largest shearing stress are
A.	40 MPa and 40 MPa
B.	0 MPa and 40 MPa
C.	80 MPa and 0 MPa
D.	0 MPa and 80 MPa
Answer» C. 80 MPa and 0 MPa

Discussion

130.	A tension member of square cross-section of side 10 mm and Young’s modulus E is to be replaced by another member of square cross-section of same length but Young’s modulus E/2. The side of the new square cross-section, required to maintain the same elongation under the same load, is nearly
A.	14 mm
B.	17 mm
C.	8 mm
D.	5 mm
Answer» B. 17 mm

Discussion

131.	A steel bar of 5 mm is heated from 15° to 40°C and it is free to expand. The bar will induce ______.
A.	No stress
B.	Shear stress
C.	Tensile stress
D.	Compressive stress
Answer» B. Shear stress

Discussion

132.	An elastic bar of length L, uniform cross sectional area A, coefficient of thermal expansion α and Young’s modulus E is fixed at the two ends. The temperature of the bar is increased by T, resulting in an axial stress σ. Keeping all other parameters unchanged, if the length of the bar is doubled, the axial stress would be
A.	σ
B.	2σ
C.	0.5σ
D.	0.25σ
Answer» B. 2σ

Discussion

133.	A rectangular block is subjected to normal stresses on two orthogonal faces 600 Mpa and 400 MPa of same nature. What shall be maximum shear stress produced on a plane?
A.	500 MPa
B.	300 MPa
C.	250 MPa
D.	100 MPa
Answer» E.

Discussion

134.	An element is subjected to biaxial normal tensile strains of 0.0030 and 0.0020. The normal strain in the plane of maximum shear strain is
A.	0.001
B.	zero
C.	0.005
D.	0.0025
Answer» E.

Discussion

135.	A steel of cross-section area 100 mm2 and 1 m long is subjected to a tensile force of 40 kN. What is the total elongation of the rod? If modulus of elasticity of steel is 200 GPa.
A.	0.5 mm
B.	0.7 mm
C.	1.2 mm
D.	2.0 mm
Answer» E.

Discussion

136.	A rod of length l tapers uniformly from a diameter D at one end to a diameter D/2 at the other end and is subjected to an axial load P. A second rod of length l and of uniform diameter D is subjected to the same axial load P. Both the rods are of same material with Young's modulus of elasticity E. The ratio of extension of the first rod to that of the second rod is
A.	4
B.	3
C.	2
D.	1
Answer» D. 1

Discussion

137.	Mohr's circle can be used to determine the following stress on an inclined surface:A. Principal stressB. Normal stressC. Tangential stressD. Maximum shear stress
A.	Only A
B.	Only B
C.	Only C
D.	A, B, C and D
Answer» E.

Discussion

138.	A metal rod has a diameter of 8 mm and a true stress-strain relationship is given by \({\sigma } = 900 \times \epsilon^{0.6}\) is under the action of tensile loading. The minimum diameter in mm that can be achieved is:
A.	8.54
B.	4.76
C.	5.92
D.	3.87
Answer» D. 3.87

Discussion

139.	Maximum allowable shear stress in a section is 100 kg/cm2. If bar is subjected to shear force of 5000 kg and if the section is square shaped, what will be dimension of sides of the squares?
A.	10 cm
B.	8.66 cm
C.	12 cm
D.	√12 cm
Answer» C. 12 cm

Discussion

140.	A Mohr’s circle reduces to a point when the body is subjected to
A.	Pure shear
B.	Uniaxial stress only
C.	Equal and opposite axial stresses on two mutually perpendicular planes, the planes being free of shear
D.	Equal axial stresses on two mutually perpendicular planes, the planes being free of shear.
Answer» E.

Discussion

141.	A copper rod with initial length l0 is pulled by a force. The instantaneous length of the rod is given by \(l = {l_0}\left( {1 + 2{e^{4t}}} \right)\) where t represents time. True strain rate at t = 0 is:
A.	\(\frac{1}{3}\)
B.	\(\frac{8}{3}\)
C.	\(\frac{4}{3}\)
D.	\(\frac{2}{3}\)
Answer» C. \(\frac{4}{3}\)

Discussion

142.	If 'α' is coefficient of thermal expansion, 'ΔT' is magnitude of change in temperature and 'E' is modulus of elasticity, then the expression for thermal stress induced in a rod of length 'l' that is fixed between two rigid ends is given as-
A.	αElΔT
B.	αEΔT
C.	αΔT/El
D.	αlΔT
Answer» C. αΔT/El

Discussion

143.	A square steel rod 20 mm × 20 mm in section is to carry an axial load of 100 kN. Calculate the stress.
A.	2,50,000 kN/m2
B.	1,50,000 kN/m2
C.	3,50,000 kN/m2
D.	4,50,000 kN/m2
E.	6,50,000 kN/m2
Answer» B. 1,50,000 kN/m2

Discussion

144.	A copper rod of square cross-section is fixed between two rigid supports and over which a steel rod of square cross-section is simply placed. If the temperature of the whole assembly is raised by T °C, the stresses in steel and copper respectively are
A.	tensile and compressive
B.	zero and compressive
C.	compressive and tensile
D.	compressive and zero
Answer» C. compressive and tensile

Discussion

145.	Poisson's ratio is μ defined as the ratio of
A.	axial strain to transverse strain
B.	axial strain to shear strain
C.	shear strain to axial strain
D.	None of these
Answer» E.

Discussion

146.	In a compression test the fracture in cast iron specimen would occur along,
A.	An oblique plane
B.	Along the axis of the load
C.	At right angles to the specimen axis
D.	Fracture will not occur in cast iron
Answer» B. Along the axis of the load

Discussion

147.	A copper rod of 2 cm diameter is completely encased in a steel tube of inner diameter 2 cm and outer diameter 4 cm. Under an axial load, the stress in the steel tube is 100 N/mm2. If Es = 2 Ec, then stress in the copper rod is
A.	50 N/mm2
B.	33.33 N/mm2
C.	100 N/mm2
D.	300 N/mm2
Answer» B. 33.33 N/mm2

Discussion

148.	According to Hook’s law, A material is said to be elastic if it returns to its original, unloaded dimensions when the load is removed. It can be expressed as:
A.	stress / strain = constant
B.	stress / strain = force
C.	stress + strain = constant
D.	stress - strain = constant
Answer» B. stress / strain = force

Discussion

149.	Principal planes are planes of
A.	maximum normal stress
B.	zero-shear stress
C.	minimum shear stress
D.	maximum shear stress
Answer» C. minimum shear stress

Discussion

150.	A 20 kN weight is suspended by two wires as shown in the figure. The length of each wire is 2 meters. The steel wire (E value 200 GPa) has a cross-sectional area of 60 × 10-6 m2 and the aluminum wire (E value 70 GPa) has a cross-sectional area of 120 × 10-6 m2. The stress in aluminium wire is
A.	\(\frac{17}{102}~GPa\)
B.	\(\frac{7}{120}~GPa\)
C.	\(\frac{17}{120}~GPa\)
D.	\(\frac{7}{102}~GPa\)
Answer» E.

Discussion

Explore topic-wise MCQs in Materials Science.

A steel bar 100 mm long is subjected to a tensile stress σ. If change in length of bar is 0.05 mm what is the value of σ? Given E = 200 GPa

A steel bar of 8 mm is heated from 10° C to 25° C and the bar is free to expand. The bar will induce

A steel rod is subjected to a stress of 200 MPa and has Young’s modulus of 200 GPa. Calculate strain.

A mild steel bar is subjected to an axial force P, resulting in an axial stress σx = 100 N/mm2. What would be the normal stress σn on a plane n-n making an angle θ = 45° with its axis?

A shaft subjected to torsion experiences a pure shear stress τ on the surface. The maximum principal stress on the surface which is at 45° to the axis will have a value

If all the dimension of a prismatic bar be increased in the ratio of k : 1, then maximum stress produced in the bar due to its own weight will increase in the following

A member ABCD is subjected to a force system as shown in the figureThe resistive force in the part BC is

A round steel bar of overall length 20 cm consists of two equal portions of 10 cm each having diameter of 4 cm and 5 cm respectively if the rod is subjected to a tensile load of 10 tonnes then what will be the elongation (where modulus of elasticity E = 2 ×106 kg/cm2)?

Modulus of toughness is the area of the stress-strain diagram up to:

A cross sectional bar of area 700 mm2 is subjected to an axial load as shown in the figure below. What is the value of stress (MPa) in the section RS?

A rectangular strain rosette, shown in figure, gives following readings in a strain measurement task, ϵ1 = 1000 × 10-6, ϵ2 = 800 × 10-6, ϵ3 = 600 × 10-6. The direction of the major principal strain with respect to gauge 1 is

In a simple tension test, Hooke's law is valid upto the

If σ1 and σ3 are the algebraically largest and smallest principal stresses respectively, the value of the maximum shear stress is

A steel rod 10 m long is at a temperature of 20°C. The rod is heated to a temperature of 60°C. What is the stress-induced in the rod if it is allowed to expand by 4 mm, when E = 200 GPa and α = 12 × 10-6/°C?

A steel rod, 2 m in length. 40 mm in diameter, is subjected to a pull of 70 kN as shown in theTo what length should the bar be bored centrally from one end so that total extension will increase by 20% under the same force (the bore diameter is 25 mm and E is 2 × 105 N/mm2)?

A body is subjected to principle stresses at a point having values as 200 MPa and 100 MPa respectively. What is the value of maximum in-plane shear stress (in MPa)?

An isotropic elastic material is characterized by

A body is subjected to a direct tensile stress of 400 MPa in one plane accompanied by a simple shear stress of 150 MPa. The maximum normal stress will be

A strain gauge oriented in a direction at an angle θ with x-axis, measures:

A steel bar of 40 mm × 40 mm square cross-section is subjected to an axial compressive load of 200 kN. If the length of the bar is 2 m and E = 200 GPa, the magnitude of deformation of the bar will be:

A steel wire hangs vertically under its own weight. If its density is 10000 kg/m3 and allowable stress is 3000 kg/cm2 then how much length it can sustain.

______ is the normal stress when it acts into the area.

In a tensile test on mild steel specimen, the actual breaking stress as compared to ultimate tensile stress is:-

If the temperature of a rod of length L is increased by T° C, whose coefficient of linear expansion is α and Young’s modulus is E, then free expansion of the rod due to increase in temperature is given by which of the following expressions?

A penstock pipe of 10 m diameter carries water under a pressure head of 100 m. If the wall thickness is 9 mm, what is the tensile stress, in Mpa, in the pipe wall?

At a point in a body ϵ1 = 0.0004 and ϵ2 = -0.00012 If E =2 × 105 MPa and μ = 0.3, the smallest normal stress and the largest shearing stress are

A tension member of square cross-section of side 10 mm and Young’s modulus E is to be replaced by another member of square cross-section of same length but Young’s modulus E/2. The side of the new square cross-section, required to maintain the same elongation under the same load, is nearly

A steel bar of 5 mm is heated from 15° to 40°C and it is free to expand. The bar will induce ______.

A rectangular block is subjected to normal stresses on two orthogonal faces 600 Mpa and 400 MPa of same nature. What shall be maximum shear stress produced on a plane?

An element is subjected to biaxial normal tensile strains of 0.0030 and 0.0020. The normal strain in the plane of maximum shear strain is

A steel of cross-section area 100 mm2 and 1 m long is subjected to a tensile force of 40 kN. What is the total elongation of the rod? If modulus of elasticity of steel is 200 GPa.

Mohr's circle can be used to determine the following stress on an inclined surface:A. Principal stressB. Normal stressC. Tangential stressD. Maximum shear stress

A metal rod has a diameter of 8 mm and a true stress-strain relationship is given by \({\sigma } = 900 \times \epsilon^{0.6}\) is under the action of tensile loading. The minimum diameter in mm that can be achieved is:

Maximum allowable shear stress in a section is 100 kg/cm2. If bar is subjected to shear force of 5000 kg and if the section is square shaped, what will be dimension of sides of the squares?

A Mohr’s circle reduces to a point when the body is subjected to

A copper rod with initial length l0 is pulled by a force. The instantaneous length of the rod is given by \(l = {l_0}\left( {1 + 2{e^{4t}}} \right)\) where t represents time. True strain rate at t = 0 is:

If 'α' is coefficient of thermal expansion, 'ΔT' is magnitude of change in temperature and 'E' is modulus of elasticity, then the expression for thermal stress induced in a rod of length 'l' that is fixed between two rigid ends is given as-

A square steel rod 20 mm × 20 mm in section is to carry an axial load of 100 kN. Calculate the stress.

A copper rod of square cross-section is fixed between two rigid supports and over which a steel rod of square cross-section is simply placed. If the temperature of the whole assembly is raised by T °C, the stresses in steel and copper respectively are

Poisson's ratio is μ defined as the ratio of

In a compression test the fracture in cast iron specimen would occur along,

A copper rod of 2 cm diameter is completely encased in a steel tube of inner diameter 2 cm and outer diameter 4 cm. Under an axial load, the stress in the steel tube is 100 N/mm2. If Es = 2 Ec, then stress in the copper rod is

According to Hook’s law, A material is said to be elastic if it returns to its original, unloaded dimensions when the load is removed. It can be expressed as:

Principal planes are planes of

A 20 kN weight is suspended by two wires as shown in the figure. The length of each wire is 2 meters. The steel wire (E value 200 GPa) has a cross-sectional area of 60 × 10-6 m2 and the aluminum wire (E value 70 GPa) has a cross-sectional area of 120 × 10-6 m2. The stress in aluminium wire is