Consider two concentric circular cylinders of different materials M and N in contact with each other at r = b, as shown below. The interface at r = b is frictionless. The composite cylinder system is subjected to internal pressure P. Let \(\left( {u_r^M,u_\theta ^M} \right)and\;\left( {\sigma _{rr}^M,\sigma _{\theta \theta }^M} \right)\) denote the radial and tangential displacement and stress components, respectively material M. Similarly, \(\left( {u_r^N,u_\theta ^N} \right)\;and\;\left( {\sigma _{rr}^N,\sigma _{\theta \theta }^N} \right)\) denote the radial and tangential displacement and stress components, respectively, in material N. The boundary conditions that need to be satisfied at the frictionless interface between the two cylinders are:

\(u_r^M = u_r^N\;and\;\sigma _{rr}^M = \sigma _{rr}^N\;and\;u_\theta ^M = u_\theta ^Nand\;\sigma _{\theta \theta }^M = \sigma _{\theta \theta }^N\)

\(u_r^M = u_r^N\;and\;\sigma _{rr}^M = \sigma _{rr}^N\;only\)

\(u_r^M = u_r^N\;and\;\sigma _{rr}^M = \sigma _{rr}^N\;and\;u_\theta ^M = u_\theta ^Nand\;\sigma _{\theta \theta }^M = \sigma _{\theta \theta }^N\)

\(u_\theta ^M = u_\theta ^N\;and\;\sigma _{\theta \theta }^M = \sigma _{\theta \theta }^N\;only\)

\(u_{rr}^M = u_{rr}^N\;and\;\sigma _{\theta \theta }^M = \sigma _{\theta \theta }^N\;only\)

A cubical element of a structural part made of mild steel is subjected to a tri-axial compressive stress as shown in the figure. The vertical compressive stress is σ1. The Modulus of Elasticity and Poisson’s Ratio are E and μ, respectively. What should be the uniform lateral pressure σ2 in terms of σ1 and μ, so that lateral strain is prevented?

\(\frac{\mu }{{\left( {1 + \mu } \right)\left( {1 - \mu } \right)}}{\sigma _1}\)

\(\frac{\mu }{{1 - \mu }}{\sigma _1}\)

\(\frac{\mu }{{\left( {1 + \mu } \right)\left( {1 - \mu } \right)}}{\sigma _1}\)

\(\frac{\mu }{{1 + \mu }}{\sigma _1}\)

\(\frac{{1 + \mu }}{{1 - \mu }}\sigma \)

In a composite system subjected to temperature rise and with ends constrained to remain together, the component having lower value of coefficient will experience ____

tensile or compressive stress depending upon the loading

A cylindrical elastic body subjected to pure torsion about its axis develops

No tensile or compressive stress

Tensile stress in a direction 45° to the axis

No tensile or compressive stress

Maximum shear stress along the axis of the shaft

Maximum shear stress at 45° to the axis

Factor of safety is defined as the ratio of

Working stress to ultimate stress

Ultimate stress to working stress

Working stress to ultimate stress

Breaking stress to ultimate stress

Ultimate stress to breaking stress

Choose the INCORRECT option for the Hooke’s law.

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

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

A solid uniform metal bar of diameter D and length L is hanging vertically from its upper end. The elongation of the bar due to self-weight is

Proportional to L and inversely proportional to D2

Proportional to L2 and inversely proportional to D2

Proportional to L but independent of D

Proportional to L2 but independent of D

A thin plate of uniform thickness is subject to pressure as shown in the figure belowUnder the assumption of plane stress, which one of the following is correct?

Normal stress is tensile in the z-direction

Normal stress is zero in the z-direction

Normal stress is tensile in the z-direction

Normal stress is compressive in the z-direction

Normal stress varies in the z-direction

A steel cube, with all faces free to deform, has Young’s modulus, E, Poisson’s ratio, ν, and coefficient of thermal expansion, α. The pressure (hydrostatic stress) developed within the cube, when it is subjected to a uniform increase in temperature, ΔT, is given by

\(\frac{{{\rm{\alpha }}\left( {{\rm{\Delta T}}} \right){\rm{E}}}}{{1 - 2{\rm{v}}}}\)

\(- \frac{{{\rm{\alpha }}\left( {{\rm{\Delta T}}} \right){\rm{E}}}}{{1 - 2{\rm{v}}}}\)

\(\frac{{{\rm{\alpha }}\left( {{\rm{\Delta T}}} \right){\rm{E}}}}{{3\left( {1 - 2{\rm{v}}} \right)}}\)

If a test specimen is stressed slightly beyond the yield point and then unloaded, the yield strength will

becomes equal to ultimate tensile strength

In Mohr’s stress circle, the co-ordinate of center is:

\(\frac {(\sigma_x + \sigma_y)}{3}\)

\(\frac {(\sigma_x + \sigma_y)}{2}\)

\(\frac {(\sigma_x + \sigma_y)}{3}\)

A specimen is subjected to a pure shear stress regime of intensity τ. The resulting tensile and compressive stresses σ, which occur on planes inclined at 45° to the direction of the shear stresses, would be

\(\frac{{\rm{\tau }}}{{\sqrt 2 }}\)

427 + Mcqs in Stress Strain in Materials Science Page 5 McqOptions

201.	A sample of glass has a crack of half-length 2
A.	885 MPa
B.	895 MPa
C.	915 MPa
D.	935 MPa
Answer» E.

Discussion

202.	Consider two concentric circular cylinders of different materials M and N in contact with each other at r = b, as shown below. The interface at r = b is frictionless. The composite cylinder system is subjected to internal pressure P. Let \(\left( {u_r^M,u_\theta ^M} \right)and\;\left( {\sigma _{rr}^M,\sigma _{\theta \theta }^M} \right)\) denote the radial and tangential displacement and stress components, respectively material M. Similarly, \(\left( {u_r^N,u_\theta ^N} \right)\;and\;\left( {\sigma _{rr}^N,\sigma _{\theta \theta }^N} \right)\) denote the radial and tangential displacement and stress components, respectively, in material N. The boundary conditions that need to be satisfied at the frictionless interface between the two cylinders are:
A.	\(u_r^M = u_r^N\;and\;\sigma _{rr}^M = \sigma _{rr}^N\;only\)
B.	\(u_r^M = u_r^N\;and\;\sigma _{rr}^M = \sigma _{rr}^N\;and\;u_\theta ^M = u_\theta ^Nand\;\sigma _{\theta \theta }^M = \sigma _{\theta \theta }^N\)
C.	\(u_\theta ^M = u_\theta ^N\;and\;\sigma _{\theta \theta }^M = \sigma _{\theta \theta }^N\;only\)
D.	\(u_{rr}^M = u_{rr}^N\;and\;\sigma _{\theta \theta }^M = \sigma _{\theta \theta }^N\;only\)
Answer» B. \(u_r^M = u_r^N\;and\;\sigma _{rr}^M = \sigma _{rr}^N\;and\;u_\theta ^M = u_\theta ^Nand\;\sigma _{\theta \theta }^M = \sigma _{\theta \theta }^N\)

Discussion

203.	Normal stress on a plane, the normal to which is inclined at an angle θ with the line of action of applied uniaxial stress σ is given by
A.	σ/sin2 θ
B.	σ/cos2 θ
C.	σ cos2 θ
D.	σ sin2 θ
Answer» D. σ sin2 θ

Discussion

204.	A steel rod 15 m long is at a temperature of 15°C. The values of α = 12 × 10-6m and E = 200 GN/m2 are adopted. When the temperature is raised to 65°C, what is the free expansion of the length; and if this expansion of the rod is fully prevented, what is the temperature stress produced?
A.	5 mm and 120 MN/m2
B.	9 mm and 120 MN/m2
C.	5 mm and 150 MN/m2
D.	9 mm and 150 MN/m2
Answer» C. 5 mm and 150 MN/m2

Discussion

205.	Elastic strain energy due to direct force is given by
A.	\(\frac{P^2L}{2AE}\)
B.	\(\frac{P^2L}{2G}\)
C.	\(\frac{P^2L}{2EI}\)
D.	\(\frac{P^2L}{G}\)
Answer» B. \(\frac{P^2L}{2G}\)

Discussion

206.	An aluminium bar of 8 m length and a steel bar of 5 mm longer in length are kept at 30°C. If the ambient temperature is raised gradually, at what temperature the aluminium bar will elongate 5 mm longer than the steel bar (the linear expansion coefficients for steel and aluminium are 12 × 10-6/°C and 23 × 10-6/°C respectively)?
A.	50.7°C
B.	69.0°C
C.	143.7°C
D.	33.7°C
Answer» D. 33.7°C

Discussion

207.	A cubical element of a structural part made of mild steel is subjected to a tri-axial compressive stress as shown in the figure. The vertical compressive stress is σ1. The Modulus of Elasticity and Poisson’s Ratio are E and μ, respectively. What should be the uniform lateral pressure σ2 in terms of σ1 and μ, so that lateral strain is prevented?
A.	\(\frac{\mu }{{1 - \mu }}{\sigma _1}\)
B.	\(\frac{\mu }{{\left( {1 + \mu } \right)\left( {1 - \mu } \right)}}{\sigma _1}\)
C.	\(\frac{\mu }{{1 + \mu }}{\sigma _1}\)
D.	\(\frac{{1 + \mu }}{{1 - \mu }}\sigma \)
Answer» B. \(\frac{\mu }{{\left( {1 + \mu } \right)\left( {1 - \mu } \right)}}{\sigma _1}\)

Discussion

208.	If a rod expands freely due to heating it will develop:
A.	no stress
B.	compressive stress
C.	thermal stress
D.	bending stress
Answer» B. compressive stress

Discussion

209.	A bar having a cross-sectional area of 700 mm2 is subjected to axial loads at the positions indicated. The value of stress in the segment QR is:
A.	40 MPa
B.	50 MPa
C.	70 MPa
D.	120 MPa
Answer» B. 50 MPa

Discussion

210.	If a body is acted upon by pure shear stresses on two perpendicular planes, the planes inclined at 45° are subjected to no________stress.
A.	tensile
B.	compressive
C.	shear
D.	bending
Answer» D. bending

Discussion

211.	Find the minimum diameter of steel wire, which is used to raise a load of 2000 N if the stress in the rod does not exceed 95 MN/m2.
A.	6.55 mm
B.	7.32 mm
C.	5.17 mm
D.	8.42 mm
Answer» D. 8.42 mm

Discussion

212.	In the adjacent beam, the magnitude of shear stresses at point A is
A.	12 MPa
B.	80 MPa
C.	5 MPa
D.	20 MPa
E.	50 MPa
Answer» F.

Discussion

213.	A rod with a length of 100 cm and a diameter of 4 cm undergoes an axial pull of 50 kN. What is the stress (in N/mm2.)?
A.	0.04
B.	0.4
C.	4
D.	40
Answer» E.

Discussion

214.	In a composite system subjected to temperature rise and with ends constrained to remain together, the component having lower value of coefficient will experience ____
A.	tensile stress
B.	compressive stress
C.	tensile or compressive stress depending upon the loading
D.	zero value of stress
Answer» B. compressive stress

Discussion

215.	Normal stress on an oblique plane inclined at angle 45° to the axis of a bar of square cross -section of side S when acted upon by a tensile force P is
A.	P/S2
B.	2P/S2
C.	P/2S2
D.	P/4S2
Answer» D. P/4S2

Discussion

216.	A cylindrical elastic body subjected to pure torsion about its axis develops
A.	Tensile stress in a direction 45° to the axis
B.	No tensile or compressive stress
C.	Maximum shear stress along the axis of the shaft
D.	Maximum shear stress at 45° to the axis
Answer» B. No tensile or compressive stress

Discussion

217.	Factor of safety is defined as the ratio of
A.	Ultimate stress to working stress
B.	Working stress to ultimate stress
C.	Breaking stress to ultimate stress
D.	Ultimate stress to breaking stress
Answer» B. Working stress to ultimate stress

Discussion

218.	An elastic isotropic body is in a hydrostatic state of stress as shown in the figure. For no change in the volume to occur, what should be its Poisson's ratio?
A.	0
B.	0.25
C.	0.5
D.	1
Answer» D. 1

Discussion

219.	A cylindrical bar of L meters deforms by I cm. The strain in bar is
A.	\(\frac{l}{L}\)
B.	\(\frac{0.1\ l}{L}\)
C.	\(\frac{0.01\ l}{L}\)
D.	\(\frac{100\ l}{L}\)
Answer» D. \(\frac{100\ l}{L}\)

Discussion

220.	Every material obeys Hooke’s law within its
A.	Dimensional limit
B.	Plastic point
C.	Limit of proportionality
D.	Failure limit
Answer» D. Failure limit

Discussion

221.	For the state of stresses (in MPa) shown in the figure below, the maximum shear stress (in MPa) is _____
A.	10
B.	-5
C.	-10
D.	5
Answer» E.

Discussion

222.	Hooke’s law refer to stress and strain in the body holds true upto
A.	Elastic limit
B.	Yield point
C.	Plastic limit
D.	Breaking point
Answer» B. Yield point

Discussion

223.	Consider the following statements:1. The maximum shear stress is one half of the normal stress in the case of uniaxial stress field.2. In a biaxial stress field, acted upon by normal stresses unaccompanied by shear stresses, the maximum shear stress is any one of the normal stresses.3. The Mohr’s stress circle will be tangential to the vertical axis in the case of uniaxial stress field.Which of the above statements are correct?
A.	1, 2 and 3
B.	1 and 2 only
C.	2 and 3 only
D.	1 and 3 only
Answer» E.

Discussion

224.	Choose the INCORRECT option for the Hooke’s law.
A.	\(\sigma \propto \frac{1}{\varepsilon }\)
B.	σ ∝ ε
C.	σ = ε
D.	\(\sigma \propto \frac{1}{\varepsilon }\;and\;\sigma = \varepsilon \:both\)
Answer» E.

Discussion

225.	If a load of 40 kN is applied in a compressive manner on a rod whose cross-section is 10 mm × 20 mm. Then what will be the compressive stress (in MPa) on the rod?
A.	0.2
B.	2
C.	20
D.	200
Answer» E.

Discussion

226.	A state of plane stress consists of uniaxial tensile stress of magnitude 8 kPa, exerted on a vertical surface and of unknown shearing stresses. If the largest stress is 10 kPa, then the magnitude of the unknown shear stress will be_______.
A.	6.47 kPa
B.	5.47 kPa
C.	4.47 kPa
D.	3.47 kPa
Answer» D. 3.47 kPa

Discussion

227.	A solid uniform metal bar of diameter D and length L is hanging vertically from its upper end. The elongation of the bar due to self-weight is
A.	Proportional to L and inversely proportional to D2
B.	Proportional to L2 and inversely proportional to D2
C.	Proportional to L but independent of D
D.	Proportional to L2 but independent of D
Answer» E.

Discussion

228.	A point in a strained material is subjected to two mutually perpendicular stresses of 150 MPa (tensile) and 50 MPa (compression), then what will be the magnitude of maximum shear stress in the component?
A.	50 MPa
B.	100 MPa
C.	150 MPa
D.	200 MPa
Answer» C. 150 MPa

Discussion

229.	A 16 mm diameter bar elongates by 0.04% under a tensile force of 16 kN. The average decrease in diameter is found to be 0.01% then:A. E = 210 GPa and G = 77 GPaB. E = 199 GPa and v = 0.25C. E = 199 GPa and v = 0.30D. E = 199 GPa and G = 80 GPaWhich of these values are correct?
A.	C & D
B.	B & D
C.	A & C
D.	A & D
Answer» C. A & C

Discussion

230.	If a body is stressed within its elastic limit, the lateral strain bears a constant ratio to the linear strain. This constant is known as:
A.	Poisson’s Ratio
B.	Volume Ratio
C.	Stress Ratio
D.	Strain Ratio
Answer» B. Volume Ratio

Discussion

231.	A 5 mm diameter aluminium alloy test bar is subjected to a load of 500 N. If the diameter of the bar at this load is 4 mm, the true strain is
A.	0.56
B.	0.22
C.	0.25
D.	0.45
Answer» E.

Discussion

232.	An electrical resistance strain rosette indicates strains of -400, +800 and +500 along the x, y and 45° axes. What is the shearing strain γxy?
A.	100
B.	800
C.	600
D.	-200
Answer» D. -200

Discussion

233.	A circular steel rod of 20 cm2 cross-sectional area and 10 m length is heated through 50°C with ends clamped before heating. Given, E = 200 GPa and coefficient of thermal expansion, α = 10 × 10-6/°C, the thrust thereby generated on the clamp is
A.	100 kN
B.	150 kN
C.	200 kN
D.	250 kN
Answer» D. 250 kN

Discussion

234.	Consider that a wire rope is subjected to the following stresses:1. Direct stress on account of axial force2. Bending stress3. Stress due to acceleration of the moving massWhich of the above are correct?
A.	1 and 2 only
B.	1 and 3 only
C.	2 and 3 only
D.	1, 2 and 3
Answer» E.

Discussion

235.	A thin plate of uniform thickness is subject to pressure as shown in the figure belowUnder the assumption of plane stress, which one of the following is correct?
A.	Normal stress is zero in the z-direction
B.	Normal stress is tensile in the z-direction
C.	Normal stress is compressive in the z-direction
D.	Normal stress varies in the z-direction
Answer» B. Normal stress is tensile in the z-direction

Discussion

236.	A prismatic bar PQRST is subjected to axial loads as shown in the figure. The segments having maximum and minimum axial stresses, respectively, are
A.	ST and PQ
B.	QR and PQ
C.	QR and RS
D.	ST and RS
Answer» E.

Discussion

237.	A material is classified as brittle, if the elongation in a gauge length of 59 mm, is less than
A.	1%
B.	3%
C.	4%
D.	5%
Answer» B. 3%

Discussion

238.	A steel rod, 2 m long, is held between two walls and heated from 20°C to 60°C. Young’s modulus and coefficient of linear expansion of the rod material are 200 × 103 MPa and 10 × 10-6/°C respectively. The stress induced in the rod, if walls yield by 0.2 mm, is
A.	60 MPa tensile
B.	80 MPa tensile
C.	80 MPa compressive
D.	60 MPa compressive
Answer» E.

Discussion

239.	A two dimensional stress system has like stresses σx = 100 N/mm2 and σy = 200 N/mm2 in two mutually perpendicular directions. They xy coordinates of the centre of the Mohr’s circle are
A.	100, 50
B.	-50, 0
C.	150, 0
D.	0, 150
Answer» D. 0, 150

Discussion

240.	A steel cube, with all faces free to deform, has Young’s modulus, E, Poisson’s ratio, ν, and coefficient of thermal expansion, α. The pressure (hydrostatic stress) developed within the cube, when it is subjected to a uniform increase in temperature, ΔT, is given by
A.	0
B.	\(\frac{{{\rm{\alpha }}\left( {{\rm{\Delta T}}} \right){\rm{E}}}}{{1 - 2{\rm{v}}}}\)
C.	\(- \frac{{{\rm{\alpha }}\left( {{\rm{\Delta T}}} \right){\rm{E}}}}{{1 - 2{\rm{v}}}}\)
D.	\(\frac{{{\rm{\alpha }}\left( {{\rm{\Delta T}}} \right){\rm{E}}}}{{3\left( {1 - 2{\rm{v}}} \right)}}\)
Answer» B. \(\frac{{{\rm{\alpha }}\left( {{\rm{\Delta T}}} \right){\rm{E}}}}{{1 - 2{\rm{v}}}}\)

Discussion

241.	In a plane stress condition, the components of stress at point are σx = 20 MPa, σy = 80 MPa and τxy = 40 MPa The maximum shear stress ( in MPa) at the point is
A.	20
B.	25
C.	50
D.	100
Answer» D. 100

Discussion

242.	A graphical method of determining the normal, tangential and resultant stresses on an oblique plane is:
A.	stress circle
B.	Mohr circle
C.	force circle
D.	Coulomb circle
Answer» C. force circle

Discussion

243.	If a test specimen is stressed slightly beyond the yield point and then unloaded, the yield strength will
A.	decrease
B.	increase
C.	remain same
D.	becomes equal to ultimate tensile strength
Answer» C. remain same

Discussion

244.	________ is particularly desirable in the materials which are subjected to shock loading.
A.	Ductibility
B.	Brittleness
C.	Malleability
D.	Toughness
Answer» E.

Discussion

245.	If the young’s modulus for Steel plate is 200 GPa and it develops a strain of 2 after expansion under a tensile load. The stress induced in the Steel plate is:
A.	50 × 103MPa
B.	400 × 103MPa
C.	150 × 103MPa
D.	100 × 103MPa
Answer» C. 150 × 103MPa

Discussion

246.	In Mohr’s stress circle, the co-ordinate of center is:
A.	\(\frac {(\sigma_x + \sigma_y)}{2}\)
B.	\(\frac {(\sigma_x + \sigma_y)}{3}\)
C.	(σx - σy)
D.	(σx + σy)
Answer» B. \(\frac {(\sigma_x + \sigma_y)}{3}\)

Discussion

247.	A specimen is subjected to a pure shear stress regime of intensity τ. The resulting tensile and compressive stresses σ, which occur on planes inclined at 45° to the direction of the shear stresses, would be
A.	τ
B.	\(\frac{{\rm{\tau }}}{2}\)
C.	\(\sqrt 2 {\rm{\;\tau }}\)
D.	\(\frac{{\rm{\tau }}}{{\sqrt 2 }}\)
Answer» B. \(\frac{{\rm{\tau }}}{2}\)

Discussion

248.	For steel, the ultimate strength in shear as compared to in tension is nearly:
A.	Same
B.	Half
C.	One-third
D.	Two-third
Answer» E.

Discussion

249.	A (200 × 100 × 50) mm3 steel block is subjected to a hydrostatic pressure of 15 MPa. The Young’s modulus and Poisson’s ratio of the material are 200 GPa and 0.3 respectively. The change in the volume of the block in mm3 is
A.	85
B.	90
C.	100
D.	110
Answer» C. 100

Discussion

250.	A copper piece originally 305 mm long is pulled in tension with a stress of 276 MPa. If the deformation is entirely elastic and the modulus of elasticity is 110 GPa, the resultant elongation will be nearly
A.	0.43 mm
B.	0.54 mm
C.	0.65 mm
D.	0.77 mm
Answer» E.

Discussion

Explore topic-wise MCQs in Materials Science.

A sample of glass has a crack of half-length 2

Normal stress on a plane, the normal to which is inclined at an angle θ with the line of action of applied uniaxial stress σ is given by

A steel rod 15 m long is at a temperature of 15°C. The values of α = 12 × 10-6m and E = 200 GN/m2 are adopted. When the temperature is raised to 65°C, what is the free expansion of the length; and if this expansion of the rod is fully prevented, what is the temperature stress produced?

Elastic strain energy due to direct force is given by

If a rod expands freely due to heating it will develop:

A bar having a cross-sectional area of 700 mm2 is subjected to axial loads at the positions indicated. The value of stress in the segment QR is:

If a body is acted upon by pure shear stresses on two perpendicular planes, the planes inclined at 45° are subjected to no________stress.

Find the minimum diameter of steel wire, which is used to raise a load of 2000 N if the stress in the rod does not exceed 95 MN/m2.

In the adjacent beam, the magnitude of shear stresses at point A is

A rod with a length of 100 cm and a diameter of 4 cm undergoes an axial pull of 50 kN. What is the stress (in N/mm2.)?

In a composite system subjected to temperature rise and with ends constrained to remain together, the component having lower value of coefficient will experience ____

Normal stress on an oblique plane inclined at angle 45° to the axis of a bar of square cross -section of side S when acted upon by a tensile force P is

A cylindrical elastic body subjected to pure torsion about its axis develops

Factor of safety is defined as the ratio of

An elastic isotropic body is in a hydrostatic state of stress as shown in the figure. For no change in the volume to occur, what should be its Poisson's ratio?

A cylindrical bar of L meters deforms by I cm. The strain in bar is

Every material obeys Hooke’s law within its

For the state of stresses (in MPa) shown in the figure below, the maximum shear stress (in MPa) is _____

Hooke’s law refer to stress and strain in the body holds true upto

Choose the INCORRECT option for the Hooke’s law.

If a load of 40 kN is applied in a compressive manner on a rod whose cross-section is 10 mm × 20 mm. Then what will be the compressive stress (in MPa) on the rod?

A state of plane stress consists of uniaxial tensile stress of magnitude 8 kPa, exerted on a vertical surface and of unknown shearing stresses. If the largest stress is 10 kPa, then the magnitude of the unknown shear stress will be_______.

A solid uniform metal bar of diameter D and length L is hanging vertically from its upper end. The elongation of the bar due to self-weight is

A point in a strained material is subjected to two mutually perpendicular stresses of 150 MPa (tensile) and 50 MPa (compression), then what will be the magnitude of maximum shear stress in the component?

A 16 mm diameter bar elongates by 0.04% under a tensile force of 16 kN. The average decrease in diameter is found to be 0.01% then:A. E = 210 GPa and G = 77 GPaB. E = 199 GPa and v = 0.25C. E = 199 GPa and v = 0.30D. E = 199 GPa and G = 80 GPaWhich of these values are correct?

If a body is stressed within its elastic limit, the lateral strain bears a constant ratio to the linear strain. This constant is known as:

A 5 mm diameter aluminium alloy test bar is subjected to a load of 500 N. If the diameter of the bar at this load is 4 mm, the true strain is

An electrical resistance strain rosette indicates strains of -400, +800 and +500 along the x, y and 45° axes. What is the shearing strain γxy?

A circular steel rod of 20 cm2 cross-sectional area and 10 m length is heated through 50°C with ends clamped before heating. Given, E = 200 GPa and coefficient of thermal expansion, α = 10 × 10-6/°C, the thrust thereby generated on the clamp is

Consider that a wire rope is subjected to the following stresses:1. Direct stress on account of axial force2. Bending stress3. Stress due to acceleration of the moving massWhich of the above are correct?

A thin plate of uniform thickness is subject to pressure as shown in the figure belowUnder the assumption of plane stress, which one of the following is correct?

A prismatic bar PQRST is subjected to axial loads as shown in the figure. The segments having maximum and minimum axial stresses, respectively, are

A material is classified as brittle, if the elongation in a gauge length of 59 mm, is less than

A steel rod, 2 m long, is held between two walls and heated from 20°C to 60°C. Young’s modulus and coefficient of linear expansion of the rod material are 200 × 103 MPa and 10 × 10-6/°C respectively. The stress induced in the rod, if walls yield by 0.2 mm, is

A two dimensional stress system has like stresses σx = 100 N/mm2 and σy = 200 N/mm2 in two mutually perpendicular directions. They xy coordinates of the centre of the Mohr’s circle are

A steel cube, with all faces free to deform, has Young’s modulus, E, Poisson’s ratio, ν, and coefficient of thermal expansion, α. The pressure (hydrostatic stress) developed within the cube, when it is subjected to a uniform increase in temperature, ΔT, is given by

In a plane stress condition, the components of stress at point are σx = 20 MPa, σy = 80 MPa and τxy = 40 MPa The maximum shear stress ( in MPa) at the point is

A graphical method of determining the normal, tangential and resultant stresses on an oblique plane is:

If a test specimen is stressed slightly beyond the yield point and then unloaded, the yield strength will

________ is particularly desirable in the materials which are subjected to shock loading.

If the young’s modulus for Steel plate is 200 GPa and it develops a strain of 2 after expansion under a tensile load. The stress induced in the Steel plate is:

In Mohr’s stress circle, the co-ordinate of center is:

A specimen is subjected to a pure shear stress regime of intensity τ. The resulting tensile and compressive stresses σ, which occur on planes inclined at 45° to the direction of the shear stresses, would be

For steel, the ultimate strength in shear as compared to in tension is nearly:

A (200 × 100 × 50) mm3 steel block is subjected to a hydrostatic pressure of 15 MPa. The Young’s modulus and Poisson’s ratio of the material are 200 GPa and 0.3 respectively. The change in the volume of the block in mm3 is

A copper piece originally 305 mm long is pulled in tension with a stress of 276 MPa. If the deformation is entirely elastic and the modulus of elasticity is 110 GPa, the resultant elongation will be nearly