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Recent questions and answers in Mechanics of Materials
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GATE2019 ME2: 6
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 ... are $(0.35,  0.15)$ $(0.5, 0.0)$ $(0.5,  0.15)$ $(0.5,  0.5)$
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Feb 10, 2019
in
Mechanics of Materials
by
Arjun
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21.2k
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gate2019me2
0
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GATE2019 ME2: 8
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
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Feb 10, 2019
in
Mechanics of Materials
by
Arjun
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21.2k
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gate2019me2
0
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GATE2019 ME2: 31
A prismatic, straight, elastic, cantilever beam is subjected to 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 10, 2019
in
Mechanics of Materials
by
Arjun
(
21.2k
points)
gate2019me2
appliedmechanicsanddesign
mechanicsofmaterials
deflectionofbeams
0
votes
1
answer
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 ________ (correct to two decimal places).
answered
Mar 7, 2018
in
Mechanics of Materials
by
m2n037
(
940
points)
gate2018me2
numericalanswers
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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 7, 2018
in
Mechanics of Materials
by
m2n037
(
940
points)
gate2018me2
numericalanswers
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.
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Feb 17, 2018
in
Mechanics of Materials
by
Arjun
(
21.2k
points)
gate2018me2
numericalanswers
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 ... $P$ (in $kN$) along the indicated direction is $70$ $140$ $210$ $280$
asked
Feb 17, 2018
in
Mechanics of Materials
by
Arjun
(
21.2k
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gate2018me2
0
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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)
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Feb 17, 2018
in
Mechanics of Materials
by
Arjun
(
21.2k
points)
gate2018me2
numericalanswers
0
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0
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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
(
21.2k
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gate2018me2
0
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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
(
21.2k
points)
gate2018me2
0
votes
0
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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)
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Feb 17, 2018
in
Mechanics of Materials
by
Arjun
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21.2k
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gate2018me1
numericalanswers
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 ... . Given that the Young's modulus $E=200$ GPa, te natural strain at point B$(\varepsilon_B)$ is _____ (correct to three decimal places)
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Feb 17, 2018
in
Mechanics of Materials
by
Arjun
(
21.2k
points)
gate2018me1
numericalanswers
0
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GATE2018139
A simply supported beam of width $100$ 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)
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Feb 17, 2018
in
Mechanics of Materials
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Arjun
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21.2k
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gate2018me1
numericalanswers
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
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Feb 17, 2018
in
Mechanics of Materials
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Arjun
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21.2k
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gate2018me1
+1
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GATE2017 ME2: 50
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 9, 2017
in
Mechanics of Materials
by
dd
(
470
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gate2017me2
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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 20, 2017
in
Mechanics of Materials
by
piyag476
(
1.4k
points)
gate2013me
appliedmechanicsanddesign
mechanicsofmaterials
young'smodulus
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