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Recent questions tagged mechanics-of-materials
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GATE Mechanical 2014 Set 2 | Question: 24
The relationship between true strain ($\epsilon _T$) and engineering strain ($\epsilon _E$) in a uniaxial tension test is given as $\epsilon _E=ln(1+\epsilon _T)$ $\epsilon _E=ln(1-\epsilon _T)$ $\epsilon _T=ln(1+\epsilon _E)$ $\epsilon _T=ln(1-\epsilon _E)$
The relationship between true strain ($\epsilon _T$) and engineering strain ($\epsilon _E$) in a uniaxial tension test is given as$\epsilon _E=ln(1+\epsilon _T)$$\epsilon...
Arjun
28.5k
points
Arjun
asked
Feb 19, 2017
Applied Mechanics and Design
gateme-2014-set2
applied-mechanics-and-design
mechanics-of-materials
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0
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0
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GATE Mechanical 2014 Set 2 | Question: 11
A thin plate of uniform thickness is subject to pressure as shown in the figure below Under the assumption of plane stress, which one of the following is correct? 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 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 st...
Arjun
28.5k
points
Arjun
asked
Feb 19, 2017
Mechanics of Materials
gateme-2014-set2
mechanics-of-materials
plane-stress
applied-mechanics-and-design
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0
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0
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GATE Mechanical 2014 Set 2 | Question: 10
In a structure subjected to fatigue loading, the minimum and maximum stresses developed in a cycle are $200$ $MPa$ and $400$ $MPa$ respectively. The value of stress amplitude (in $MPa$) is _______
In a structure subjected to fatigue loading, the minimum and maximum stresses developed in a cycle are $200$ $MPa$ and $400$ $MPa$ respectively. The value of stress ampli...
Arjun
28.5k
points
Arjun
asked
Feb 19, 2017
Applied Mechanics and Design
gateme-2014-set2
numerical-answers
applied-mechanics-and-design
mechanics-of-materials
stress-strain
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0
answers
0
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GATE Mechanical 2014 Set 2 | Question: 6
A steel cube, with all faces free to deform, has Young's modulus, $E$, Poisson's ratio, $ν$, and coefficient of thermal expansion, $\alpha$. The pressure (hydrostatic stress) developed within the cube, when it is subjected to a uniform increase in temperature, $\Delta T$, ... $-\dfrac{\alpha (\Delta T)E}{1-2V} \\$ $\dfrac{\alpha (\Delta T)E}{3(1-2V)}$
A steel cube, with all faces free to deform, has Young’s modulus, $E$, Poisson’s ratio, $ν$, and coefficient of thermal expansion, $\alpha$. The pressure (hydrostati...
Arjun
28.5k
points
Arjun
asked
Feb 19, 2017
Applied Mechanics and Design
gateme-2014-set2
applied-mechanics-and-design
mechanics-of-materials
poissons-ratio
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0
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0
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GATE Mechanical 2014 Set 1 | Question: 55
An aluminium alloy (density $2600$ $kg$/$m^3$) casting is to be produced. A cylindrical hole of $100$ $mm$ diameter and $100$ $mm$ length is made in the casting using sand core (density $1600$ $kg$/$m^3$). The net buoyancy force (in newton) acting on the core is _______
An aluminium alloy (density $2600$ $kg$/$m^3$) casting is to be produced. A cylindrical hole of $100$ $mm$ diameter and $100$ $mm$ length is made in the casting using san...
Arjun
28.5k
points
Arjun
asked
Feb 19, 2017
Mechanics of Materials
gateme-2014-set1
numerical-answers
mechanics-of-materials
thin-cylinders
applied-mechanics-and-design
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0
answers
0
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GATE Mechanical 2014 Set 1 | Question: 52
During pure orthogonal turning operation of a hollow cylindrical pipe, it is found that the thickness of the chip produced is $0.5$ $mm$. The feed given to the zero degree rake angle tool is $0.2$ $mm/rev$. The shear strain produced during the operation is _______
During pure orthogonal turning operation of a hollow cylindrical pipe, it is found that the thickness of the chip produced is $0.5$ $mm$. The feed given to the zero degre...
Arjun
28.5k
points
Arjun
asked
Feb 19, 2017
Mechanics of Materials
gateme-2014-set1
numerical-answers
mechanics-of-materials
applied-mechanics-and-design
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0
answers
0
votes
GATE Mechanical 2014 Set 1 | Question: 33
Consider a cantilever beam, having negligible mass and uniform flexural rigidity, with length $0.01$ $m$. The frequency of vibration of the beam, with a $0.5$ $kg$ mass attached at the free tip, is $100$ $Hz$. The flexural rigidity (in $N$.$m^2$) of the beam is _______
Consider a cantilever beam, having negligible mass and uniform flexural rigidity, with length $0.01$ $m$. The frequency of vibration of the beam, with a $0.5$ $kg$ mass a...
Arjun
28.5k
points
Arjun
asked
Feb 19, 2017
Applied Mechanics and Design
gateme-2014-set1
numerical-answers
applied-mechanics-and-design
mechanics-of-materials
deflection-of-beams
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–
0
answers
0
votes
GATE Mechanical 2014 Set 1 | Question: 30
The state of stress at a point is given by $\sigma _x=-6 MPa$ ,$\sigma _y=4 MPa$ and $\tau _{xy}=-8 MPa$.The maximum tensile stress in (MPa) at the point is _____
The state of stress at a point is given by $\sigma _x=-6 MPa$ ,$\sigma _y=4 MPa$ and $\tau _{xy}=-8 MPa$.The maximum tensile stress in (MPa) at the point is _____
Arjun
28.5k
points
Arjun
asked
Feb 19, 2017
Applied Mechanics and Design
gateme-2014-set1
numerical-answers
applied-mechanics-and-design
mechanics-of-materials
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0
answers
0
votes
GATE Mechanical 2014 Set 1 | Question: 24
The process of reheating the martensitic steel to reduce its brittleness without any significant loss in its hardness is normalising annealing quenching tempering
The process of reheating the martensitic steel to reduce its brittleness without any significant loss in its hardness isnormalisingannealingquenchingtempering
Arjun
28.5k
points
Arjun
asked
Feb 19, 2017
Mechanics of Materials
gateme-2014-set1
testing-of-hardness
mechanics-of-materials
applied-mechanics-and-design
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0
answers
0
votes
GATE Mechanical 2014 Set 1 | Question: 7
A metallic rod of $500$ $mm$ length and $50$ $mm$ diameter, when subjected to a tensile force of $100$ $kN$ at the ends, experiences a n increase in its length by $0.5$ $mm$ and a reduction in its diameter by $0.015$ $mm$. The Poisson’s ratio of the rod material is _______
A metallic rod of $500$ $mm$ length and $50$ $mm$ diameter, when subjected to a tensile force of $100$ $kN$ at the ends, experiences a n increase in its length by $0.5$ $...
Arjun
28.5k
points
Arjun
asked
Feb 19, 2017
Applied Mechanics and Design
gateme-2014-set1
numerical-answers
applied-mechanics-and-design
mechanics-of-materials
poisson's-ratio
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–
0
answers
0
votes
GATE Mechanical 2014 Set 1 | Question: 6
A circular rod of length $'L'$ and area of cross-section $ A'$ has a modulus of elasticity $ E'$ and coefficient of thermal expansion $ \alpha'$. One end of the rod is fixed and other end is free. If the temperature of the rod ... is $ \alpha \Delta T$ stress developed in the rod is $E \alpha \Delta T$ and strain developed in the rod is zero
A circular rod of length $'L'$ and area of cross-section $‘A’$ has a modulus of elasticity $‘E'$ and coefficient of thermal expansion $‘\alpha’$. One end of the...
Arjun
28.5k
points
Arjun
asked
Feb 19, 2017
Mechanics of Materials
gateme-2014-set1
mechanics-of-materials
applied-mechanics-and-design
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0
answers
0
votes
GATE ME 2013 | Question: 43
A hinged gate of length $5$ $m$, inclined at $30^\circ$ with the horizontal and with water mass on its left, is shown in the figure below. Density of water is $1000$ $kg$/$m^3$. The minimum mass of the gate in $kg$ per unit width (perpendicular to the plane of paper), required to keep it closed is $5000$ $6600$ $7546$ $9623$
A hinged gate of length $5$ $m$, inclined at $30^\circ$ with the horizontal and with water mass on its left, is shown in the figure below. Density of water is $1000$ $kg$...
piyag476
1.4k
points
piyag476
asked
Feb 19, 2017
Applied Mechanics and Design
gateme-2013
applied-mechanics-and-design
mechanics-of-materials
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0
answers
0
votes
GATE ME 2013 | Question: 41
A simply supported beam of length $L$ is subjected to a varying distributed load $\sin(3\pi x/L) Nm^{-1}$ , where the distance $x$ is measured from the left support. The magnitude of the vertical reaction force in $N$ at the left support is $\text{zero}$ $L/3\pi$ $L/\pi$ $2L/\pi$
A simply supported beam of length $L$ is subjected to a varying distributed load $\sin(3\pi x/L) Nm^{-1}$ , where the distance $x$ is measured from the left support. The ...
piyag476
1.4k
points
piyag476
asked
Feb 19, 2017
Applied Mechanics and Design
gateme-2013
applied-mechanics-and-design
mechanics-of-materials
deflection-of-beams
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0
answers
0
votes
GATE ME 2013 | Question: 40
A bar is subjected to fluctuating tensile load from $20$ $kN$ to $100$ $kN$. The material has yield strength of $240$ $MPa$ and endurance limit in reversed bending is $160$ $MPa$. According to the Soderberg principle, the area of cross-section in $mm^2$ of the bar for a factor of safety of $2$ is $400$ $600$ $750$ $1000$
A bar is subjected to fluctuating tensile load from $20$ $kN$ to $100$ $kN$. The material has yield strength of $240$ $MPa$ and endurance limit in reversed bending is $16...
piyag476
1.4k
points
piyag476
asked
Feb 19, 2017
Applied Mechanics and Design
gateme-2013
applied-mechanics-and-design
mechanics-of-materials
bending
soderberg-principle
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0
answers
0
votes
GATE ME 2013 | Question: 33
A pin jointed uniform rigid rod of weight $W$ and length $L$ is supported horizontally by an external force $F$ as shown in the figure below. The force $F$ is suddenly removed. At the instant of force removal, the magnitude of vertical reaction developed at the support is $\text{zero}$ $W/4$ $W/2$ $W$
A pin jointed uniform rigid rod of weight $W$ and length $L$ is supported horizontally by an external force $F$ as shown in the figure below. The force $F$ is suddenly re...
piyag476
1.4k
points
piyag476
asked
Feb 19, 2017
Applied Mechanics and Design
gateme-2013
applied-mechanics-and-design
mechanics-of-materials
deflection-of-beams
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–
0
answers
0
votes
GATE ME 2013 | Question: 21
A long thin walled cylindrical shell, closed at both the ends, is subjected to an internal pressure. The ratio of the hoop stress (circumferential stress) to longitudinal stress developed in the shell is $0.5$ $1.0$ $2.0$ $4.0$
A long thin walled cylindrical shell, closed at both the ends, is subjected to an internal pressure. The ratio of the hoop stress (circumferential stress) to longitudinal...
piyag476
1.4k
points
piyag476
asked
Feb 19, 2017
Applied Mechanics and Design
gateme-2013
applied-mechanics-and-design
mechanics-of-materials
testing-of-hardness
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–
0
answers
0
votes
GATE ME 2013 | Question: 20
A cylinder contains $5$ $m^3$ of an ideal gas at a pressure of $1$ $bar$. This gas is compressed in a reversible isothermal process till its pressure increases to $5$ $bar$. The work in $kJ$ required for this process is $804.7$ $953.2$ $981.7$ $1012.2$
A cylinder contains $5$ $m^3$ of an ideal gas at a pressure of $1$ $bar$. This gas is compressed in a reversible isothermal process till its pressure increases to $5$ $ba...
piyag476
1.4k
points
piyag476
asked
Feb 19, 2017
Applied Mechanics and Design
gateme-2013
applied-mechanics-and-design
mechanics-of-materials
testing-of-hardness
+
–
0
answers
0
votes
GATE ME 2013 | Question: 7
For steady, fully developed flow inside a straight pipe of diameter $D$, neglecting gravity effects, the pressure drop $\Delta p$ over a length $L$ and the wall shear stress $\tau _\omega$ are related by $\tau _\omega =\dfrac{\Delta pD}{4L} \\$ $\tau _\omega =\dfrac{\Delta pD^2}{4L^2} \\$ $\tau _\omega =\dfrac{\Delta pD}{2L} \\$ $\tau _\omega =\dfrac{4\Delta p L}{D}$
For steady, fully developed flow inside a straight pipe of diameter $D$, neglecting gravity effects, the pressure drop $\Delta p$ over a length $L$ and the wall shear st...
piyag476
1.4k
points
piyag476
asked
Feb 19, 2017
Applied Mechanics and Design
gateme-2013
applied-mechanics-and-design
mechanics-of-materials
shear-stress
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–
0
answers
0
votes
GATE ME 2013 | Question: 5
Two threaded bolts $A$ and $B$ of same material and length are subjected to identical tensile load. If the elastic strain energy stored in bolt $A$ is $4$ times that of bolt $B$ and the mean diameter of bolt $A$ is $12$ $mm$, the mean diameter of bolt $B$ in $mm$ is $16$ $24$ $36$ $48$
Two threaded bolts $A$ and $B$ of same material and length are subjected to identical tensile load. If the elastic strain energy stored in bolt $A$ is $4$ times that of b...
piyag476
1.4k
points
piyag476
asked
Feb 19, 2017
Applied Mechanics and Design
gateme-2013
applied-mechanics-and-design
mechanics-of-materials
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–
0
answers
0
votes
GATE ME 2013 | Question: 4
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 $E_1$ to $E_2$ along the length of the rod, the normal stress developed at the section-$SS$ ... $\dfrac{P(E_1-E_2)}{A(E_1+E_2)} \\$ $\dfrac{PE_2}{AE_1} \\$ $\dfrac{PE_1}{AE_2}$
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 var...
piyag476
1.4k
points
piyag476
asked
Feb 19, 2017
Mechanics of Materials
gateme-2013
applied-mechanics-and-design
mechanics-of-materials
youngs-modulus
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