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Recent questions and answers in Mechanics of Materials
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GATE201926
Consider a linear elastic rectangular thin sheet of metal, subjected to uniform uniaxial tensile stress of $100$ MPa along the length direction. Assume plane stress conditions in the plane normal to the thickness. The Young's modulus $E=200$ MPa and Poisson's ratio $v=0.3$ are given. The principal strains in the plane ... are $(0.35,  0.15)$ $(0.5, 0.0)$ $(0.5,  0.15)$ $(0.5,  0.5)$
asked
Feb 9
in
Mechanics of Materials
by
Arjun
(
21.5k
points)
gate20192
0
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0
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GATE201928
Endurance limit of a beam subjected to pure bending decreases with decrease in the surface roughness and decrease in the size of the beam increase in the surface roughness and decrease in the size of the beam increase in the surface roughness and increase in the size of the beam decrease in the surface roughness and increase in the size of the beam
asked
Feb 9
in
Mechanics of Materials
by
Arjun
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21.5k
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gate20192
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GATE2019231
A prismatic, straight, elastic, cantilever beam is subjected ti a linearly distributed transverse load as shown below. If the beam length is $L$, Young’s modulus $E$, and area moment of inertia $I$, the magnitude of the maximum deflection is $\frac{qL^4}{15EI}$ $\frac{qL^4}{30EI}$ $\frac{qL^4}{10EI}$ $\frac{qL^4}{60EI}$
asked
Feb 9
in
Mechanics of Materials
by
Arjun
(
21.5k
points)
gate20192
0
votes
1
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GATE2018220
A hollow circular shaft of inner radius $10 \: mm$ outer radius $20 \: mm$ length $1 \: m$ is to be used as a torsional spring. If the shear modulus of the material of the shaft is $150 \: GPa$, the torsional stiffness of the shaft (in $kNm/rad$) is ____ (corret to two decimal places).
answered
Mar 6, 2018
in
Mechanics of Materials
by
m2n037
(
1.5k
points)
gate20182
0
votes
1
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GATE2018221
Fatigue life of a material for a fully reversed loading condition is estimated from $$\sigma_a=1100N^{0.15}$, where $\sigma_a$ is teh stress amplitude in $MPa$ and $N$ is the failure life in cycles. The maximum allowable stress amplitude (in $MPa$) for a life of $1 \times 10^5$ cycles under the same loading condition is ________ (correct to two decimal places).
answered
Mar 6, 2018
in
Mechanics of Materials
by
m2n037
(
1.5k
points)
gate20182
0
votes
0
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GATE2018246
The true stress (in MPa) versus true strain relationship for a metal is given by $\sigma=1020 \varepsilon^{0.4}$. The cross sectionalarea at the start of the test (when the stress and strain values are equal to zero) is $100 \: mm^2$. The crosssectional area at the time of necking ( in $mm^2$) is _____ correct to two decimal palces.
asked
Feb 17, 2018
in
Mechanics of Materials
by
Arjun
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21.5k
points)
gate20182
0
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0
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GATE2018233
A bimetallic cylindrical bar cross sectional area $1 \: m^2$ is made by bonding Steel (Young's modulus = $210 \: GPa$) and Aluminium (Young's modulus =$70 \: GPa$) as shown in the figure. To maintain tensile axial strain of magnitude $10^{6}$ in Steel bar ... $10^{6}$ in Aluminium bar, the magnitude of the required force $P$ (in $kN$) along the indicated direction is 70 140 210 280
asked
Feb 17, 2018
in
Mechanics of Materials
by
Arjun
(
21.5k
points)
gate20182
0
votes
0
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GATE2018237
A thinwalled cylindrical can with rigid end caps has a mean radius $R=100\:mm$ and a wall thickness of $t=5 \: mm$. The can is pressurized and an additional tensile stress of a $50 \: MPa$ is imposed along the axial direction as shown in ... circumferential components of stress in the can are equal, the pressure (in $MPa$) inside the can is _______ (correct to two decimal places)
asked
Feb 17, 2018
in
Mechanics of Materials
by
Arjun
(
21.5k
points)
gate20182
0
votes
0
answers
GATE2018231
A bar of circular cross section is clamped at ends P and Q as shown in the figure. A torsional moment $T=150 \: Nm$ is applied at a distance of $100 \: mm$ from end $P$. The torsional reactions $(T_P, T_Q)$ in $Nm$ at ends $P$ and $Q$ respectively are $(50, 100)$ $(75, 75)$ $(100, 75)$ $(120, 30)$
asked
Feb 17, 2018
in
Mechanics of Materials
by
Arjun
(
21.5k
points)
gate20182
0
votes
0
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GATE201825
The minimum axial compressive load, $P$, required to initiate buckling for a pinnedpinned slender column with bending stiffness $EI$ and length $L$ is $P=\frac{\pi^2 EI}{4L^2}$ $P=\frac{\pi^2 EI}{L^2}$ $P=\frac{3\pi^2 EI}{4L^2}$ $P=\frac{4\pi^2 EI}{L^2}$
asked
Feb 17, 2018
in
Mechanics of Materials
by
Arjun
(
21.5k
points)
gate20182
0
votes
0
answers
GATE2018150
A bar is compressed to half to its original length. The magnitude of true strain produced in the deformed bar is _____ (correct to two decimal places)
asked
Feb 17, 2018
in
Mechanics of Materials
by
Arjun
(
21.5k
points)
gate20181
0
votes
0
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GATE2018148
The true stress $(\sigma)$  true strain $(\varepsilon)$ diagram of a strain hardening material is shown in figure. First, there is loading up to point A, i.e., up to stress of 500 MPa and strain of 0.5. Then from point A, there is unloading up ... MPa. Given that the Young's modulus E=200 GPa, te natural strain at point B$(\varepsilon_B)$ is _____ (correct to three decimal places)
asked
Feb 17, 2018
in
Mechanics of Materials
by
Arjun
(
21.5k
points)
gate20181
0
votes
0
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GATE2018139
A simply supported beam of width 10 mm, height 200 mm and length 4 m is carrying a uniformly distributed load of intensity 10 kN/m. The maximum bending stress (in MPa) in the beam is _____ (correct to one decimal place)
asked
Feb 17, 2018
in
Mechanics of Materials
by
Arjun
(
21.5k
points)
gate20181
0
votes
0
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GATE2018111
In a linearly hardening plastic material, the true stress beyond initial yielding increases linearly with the true strain decreases linearly with the true strain first increases linearly and then decreases linearly with the true strain remains constant
asked
Feb 17, 2018
in
Mechanics of Materials
by
Arjun
(
21.5k
points)
gate20181
+1
vote
1
answer
GATE2017240
A rod of length $20$ mm is stretched to make a rod of length $40$ mm. Subsequently, it is compressed to make a rod of final length $10$ mm. Consider the longitudinal tensile strain as positive and compressive strain as negative. The total true longitudinal strain in the rod is $0.5$ $0.69$ $0.75$ $1.0$
answered
May 8, 2017
in
Mechanics of Materials
by
Debashish Deka
(
470
points)
gate20172
0
votes
0
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GATE20134
A rod of length $L$ having uniform crosssectional 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 $E_1$ to $E_2$ along the length of the rod, the normal stress developed at the section$SS$ is $\frac{P}{A}$ $\frac{P(E_1E_2)}{A(E_1+E_2)}$ $\frac{PE_2}{AE_1}$ $\frac{PE_1}{AE_2}$
asked
Feb 19, 2017
in
Mechanics of Materials
by
piyag476
(
1.4k
points)
gate2013
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