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Recent activity in Mechanics of Materials
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GATE2020-ME-1: 28
Bars of square and circular cross-section with $0.5\: m$ length are made of a material with shear strength of $20\: MPa$. The square bar cross-section dimension is $4\:cm \times$ $4\:cm$ and the cylindrical bar cross- ... the applied load as per maximum shear stress theory? Tensile and compressive load specimens Torsional load specimen Bending load specimen None of the specimens
Bars of square and circular cross-section with $0.5\: m$ length are made of a material with shear strength of $20\: MPa$. The square bar cross-section dimension is $4\:cm...
Lakshman Bhaiya
21.7k
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Lakshman Bhaiya
recategorized
Mar 6, 2021
Mechanics of Materials
gateme-2020-set1
mechanics-of-materials
applied-mechanics-and-design
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GATE2020-ME-1: 38
A cam with a translating flat-face follower is desired to have the follower motion $y\left ( \theta \right )=4\left [ 2\pi \theta -\theta ^{2} \right ],\:\:\:0\leq \theta \leq 2\pi .$ Contact stress considerations dictate that the radius ... should not be less than $40\:mm$ anywhere. The minimum permissible base circle radius is _________$mm$ (round off to one decimal place).
A cam with a translating flat-face follower is desired to have the follower motion$$y\left ( \theta \right )=4\left [ 2\pi \theta -\theta ^{2} \right ],\:\:\:0\leq \thet...
Lakshman Bhaiya
21.7k
points
Lakshman Bhaiya
recategorized
Mar 6, 2021
Mechanics of Materials
gateme-2020-set1
numerical-answers
mechanics-of-materials
applied-mechanics-and-design
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0
answers
0
votes
GATE2019 ME-2: 30
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 is subjected to internal pressure $P$. Let $(u_r^M, u_{\theta}^M)$ ... $\sigma_{rr}^M = \sigma_{rr}^N \text{ and } \sigma_{\theta \theta}^M = \sigma_{\theta \theta}^N$
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....
Lakshman Bhaiya
21.7k
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Lakshman Bhaiya
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Mar 5, 2021
Mechanics of Materials
gateme-2019-set2
thin-cylinders
mechanics-of-materials
applied-mechanics-and-design
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0
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GATE2018-1-48
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 ... . Given that the Young's modulus $E=200$ GPa, te natural strain at point B$(\varepsilon_B)$ is _____ (correct to three decimal places)
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 str...
Lakshman Bhaiya
21.7k
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Lakshman Bhaiya
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Mechanics of Materials
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numerical-answers
mechanics-of-materials
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0
answers
1
votes
GATE2018-1-11
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
In a linearly hardening plastic material, the true stress beyond initial yieldingincreases linearly with the true straindecreases linearly with the true strainfirst incre...
Lakshman Bhaiya
21.7k
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Lakshman Bhaiya
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Mechanics of Materials
gateme-2018-set1
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GATE2017 ME-1: 39
An initially stress-free massless elastic beam of length $L$ and circular cross-section with diameter $d$ $(d << L)$ is held fixed between two walls as shown. The beam material has Young's modulus $E$ and coefficient of thermal expansion $a$. If the beam is ... , the temperature rise required to cause the beam to buckle is proportional to $d$ $d^{2}$ $d^{3}$ $d^{4}$
An initially stress-free massless elastic beam of length $L$ and circular cross-section with diameter $d$ $(d << L)$ is held fixed between two walls as shown. The beam ma...
Lakshman Bhaiya
21.7k
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Lakshman Bhaiya
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Mechanics of Materials
gateme-2017-set1
mechanics-of-materials
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0
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GATE2017 ME-2: 8
For a loaded cantilever beam of uniform cross-section, the bending moment (in N.mm) along the length is $M(x)=5x^{2}+10x$, where $x$ is the distance (in mm) measured from the free end of the beam. The magnitude of shear force (in N) in the cross-section at $x=10$ mm is __________.
For a loaded cantilever beam of uniform cross-section, the bending moment (in N.mm) along the length is $M(x)=5x^{2}+10x$, where $x$ is the distance (in mm) measured from...
Lakshman Bhaiya
21.7k
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Lakshman Bhaiya
recategorized
Mar 5, 2021
Mechanics of Materials
gateme-2017-set2
numerical-answers
shear-force-and-bending-moment-diagrams
mechanics-of-materials
applied-mechanics-and-design
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0
answers
0
votes
GATE2016-2-23
The value of true strain produced in compressing a cylinder to half its original length is $0.69$ $-0.69$ $0.5$ $-0.5$
The value of true strain produced in compressing a cylinder to half its original length is$0.69$$-0.69$$0.5$$-0.5$
Lakshman Bhaiya
21.7k
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Lakshman Bhaiya
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Mechanics of Materials
gateme-2016-set2
mechanics-of-materials
applied-mechanics-and-design
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0
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GATE2016-1-51
A cylindrical job with diameter of $200$ $mm$ and height of $100$ $mm$ is to be cast using modulus method of riser design. Assume that the bottom surface of cylindrical riser does not contribute as cooling surface. If the diameter of the riser is equal to its height, then the height of the riser (in $mm$) is $150$ $200$ $100$ $125$
A cylindrical job with diameter of $200$ $mm$ and height of $100$ $mm$ is to be cast using modulus method of riser design. Assume that the bottom surface of cylindrical r...
Lakshman Bhaiya
21.7k
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Lakshman Bhaiya
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Mar 5, 2021
Mechanics of Materials
gateme-2016-set1
mechanics-of-materials
applied-mechanics-and-design
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0
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0
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GATE2016-1-9
A cantilever beam having square cross-section of side $a$ is subjected to an end load. If $a$ is increased by $19\%$, the tip deflection decreases approximately by $19\%$ $29\%$ $41\%$ $50\%$
A cantilever beam having square cross-section of side $a$ is subjected to an end load. If $a$ is increased by $19\%$, the tip deflection decreases approximately by$19\%$$...
Lakshman Bhaiya
21.7k
points
Lakshman Bhaiya
recategorized
Mar 5, 2021
Mechanics of Materials
gateme-2016-set1
deflection-of-beams
mechanics-of-materials
applied-mechanics-and-design
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0
answers
0
votes
GATE2015-3-50
The dimensions of a cylindrical side riser (height = diameter) for a $25 \: cm \times 15 \: cm \times 5 \: cm$ steel casting are to be determined. For the tabulated shape factor values given below, the diameter of the riser (in $cm$ ...
The dimensions of a cylindrical side riser (height = diameter) for a $25 \: cm \times 15 \: cm \times 5 \: cm$ steel casting are to be determined. For the tabulated shape...
Lakshman Bhaiya
21.7k
points
Lakshman Bhaiya
recategorized
Mar 4, 2021
Mechanics of Materials
gateme-2015-set3
numerical-answers
thin-cylinders
mechanics-of-materials
applied-mechanics-and-design
+
–
0
answers
0
votes
GATE2015-3-5
The strain hardening exponent $n$ of stainless steel SS $304$ with distinct yield and UTS values undergoing plastic deformation is $n < 0$ $n = 0$ $0 < n < 1$ $n = 1$
The strain hardening exponent $n$ of stainless steel SS $304$ with distinct yield and UTS values undergoing plastic deformation is$n < 0$$n = 0$$0 < n < 1$$n = 1$
Lakshman Bhaiya
21.7k
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Lakshman Bhaiya
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Mechanics of Materials
gateme-2015-set3
mechanics-of-materials
applied-mechanics-and-design
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0
answers
0
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GATE2015-2-38
A hollow shaft ($d_o$ = $2d_i$ where $d_o$ and $d_i$ are the outer and inner diameters respectively) needs to transmit $20$ $kW$ power at $3000$ $RPM$. If the maximum permissible shear stress is $30$ $MPa$, do is $11.29$ $mm$ $22.58$ $mm$ $33.87$ $mm$ $45.16$ $mm$
A hollow shaft ($d_o$ = $2d_i$ where $d_o$ and $d_i$ are the outer and inner diameters respectively) needs to transmit $20$ $kW$ power at $3000$ $RPM$. If the maximum per...
Lakshman Bhaiya
21.7k
points
Lakshman Bhaiya
recategorized
Mar 4, 2021
Mechanics of Materials
gateme-2015-set2
mechanics-of-materials
applied-mechanics-and-design
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0
answers
0
votes
GATE2015-2-37
A hollow shaft of $1 \: m$ length is designed to transmit a power of $30\: kW$ at $700 \text{rpm}$. The maximum permissible angle of twist in the shaft is $1^{\circ}$. The inner diameter of the shaft is $0.7$ times the outer diameter. The modulus of rigidity is $80 \: GPa$. The outside diameter (in $mm$) of the shaft is__________
A hollow shaft of $1 \: m$ length is designed to transmit a power of $30\: kW$ at $700 \text{rpm}$. The maximum permissible angle of twist in the shaft is $1^{\circ}$. Th...
Lakshman Bhaiya
21.7k
points
Lakshman Bhaiya
recategorized
Mar 4, 2021
Mechanics of Materials
gateme-2015-set2
numerical-answers
mechanics-of-materials
applied-mechanics-and-design
+
–
0
answers
0
votes
GATE2015-2-34
In a plane stress condition, the components of stress at a point are $\sigma_x =20$ $MPa$, $\sigma _y=80$ $MPa$ and $\tau_ {xy}$=$40$ $MPa$ The maximum shear stress (in $MPa$) at the point is $20$ $25$ $50$ $100$
In a plane stress condition, the components of stress at a point are $\sigma_x =20$ $MPa$, $\sigma _y=80$ $MPa$ and $\tau_ {xy}$=$40$ $MPa$ The maximum shear stress (in $...
Lakshman Bhaiya
21.7k
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Lakshman Bhaiya
recategorized
Mar 4, 2021
Mechanics of Materials
gateme-2015-set2
plane-stress
mechanics-of-materials
applied-mechanics-and-design
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0
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0
votes
GATE2015-2-33
A cantilever beam with square cross-section of $6 \: mm$ side is subjected to a load of $2 \: kN$ normal to the top surface as shown in the figure. The Young’s modulus of elasticity of the material of the beam is $210 \: GPa$. The magnitude of slope (in radian) at $Q$ ($20 \: mm$ from the fixed end) is ________
A cantilever beam with square cross-section of $6 \: mm$ side is subjected to a load of $2 \: kN$ normal to the top surface as shown in the figure. The Young’s modulus ...
Lakshman Bhaiya
21.7k
points
Lakshman Bhaiya
recategorized
Mar 4, 2021
Mechanics of Materials
gateme-2015-set2
numerical-answers
deflection-of-beams
mechanics-of-materials
applied-mechanics-and-design
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–
0
answers
0
votes
GATE2015-2-31
A cantilever beam OP is connected to another beam PQ with a pin joint as shown in the figure. A load of $10$ $kN$ is applied at the mid-point of PQ. The magnitude of bending moment (in $kN$-$m$) at fixed end O is $2.5$ $5$ $10$ $25$
A cantilever beam OP is connected to another beam PQ with a pin joint as shown in the figure. A load of $10$ $kN$ is applied at the mid-point of PQ. The magnitude of bend...
Lakshman Bhaiya
21.7k
points
Lakshman Bhaiya
recategorized
Mar 4, 2021
Mechanics of Materials
gateme-2015-set2
deflection-of-beams
mechanics-of-materials
applied-mechanics-and-design
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–
0
answers
0
votes
GATE2015-2-19
A rope-brake dynamometer attached to the crank shaft of an $I.C$. engine measures a brake power of $10$ $kW$ when the speed of rotation of the shaft is $400$ $rad/s$. The shaft torque (in $N$-$m$) sensed by the dynamometer is ___________
A rope-brake dynamometer attached to the crank shaft of an $I.C$. engine measures a brake power of $10$ $kW$ when the speed of rotation of the shaft is $400$ $rad/s$. The...
Lakshman Bhaiya
21.7k
points
Lakshman Bhaiya
recategorized
Mar 4, 2021
Mechanics of Materials
gateme-2015-set2
numerical-answers
torsion-of-circular-shafts
mechanics-of-materials
applied-mechanics-and-design
+
–
0
answers
0
votes
GATE2015-2-11
The uniaxial yield stress of a material is $300$ $MPa$. According to von Mises criterion, the shear yield stress (in $MPa$) of the material is _______
The uniaxial yield stress of a material is $300$ $MPa$. According to von Mises criterion, the shear yield stress (in $MPa$) of the material is _______
Lakshman Bhaiya
21.7k
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Lakshman Bhaiya
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Mar 4, 2021
Mechanics of Materials
gateme-2015-set2
numerical-answers
mechanics-of-materials
applied-mechanics-and-design
shear-stress
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0
answers
0
votes
GATE2015-2-8
A gas is stored in a cylindrical tank of inner radius $7$ $m$ and wall thickness $50$ $mm$. The gage pressure of the gas is $2$ $MPa$. The maximum shear stress (in $MPa$) in the wall is $35$ $70$ $140$ $280$
A gas is stored in a cylindrical tank of inner radius $7$ $m$ and wall thickness $50$ $mm$. The gage pressure of the gas is $2$ $MPa$. The maximum shear stress (in $MPa$)...
Lakshman Bhaiya
21.7k
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Lakshman Bhaiya
recategorized
Mar 4, 2021
Mechanics of Materials
gateme-2015-set2
shear-stress
mechanics-of-materials
applied-mechanics-and-design
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–
0
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0
votes
GATE2015-2-7
A rod is subjected to a uni-axial load within linear elastic limit. When the change in the stress is $200$ $MPa$, the change in the strain is $0.001$. If the Poisson’s ratio of the rod is $0.3$, the modulus of rigidity (in $GPa$) is ________________
A rod is subjected to a uni-axial load within linear elastic limit. When the change in the stress is $200$ $MPa$, the change in the strain is $0.001$. If the Poisson’s ...
Lakshman Bhaiya
21.7k
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Lakshman Bhaiya
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Mechanics of Materials
gateme-2015-set2
numerical-answers
poisson's-ratio
mechanics-of-materials
applied-mechanics-and-design
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0
answers
0
votes
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...
Lakshman Bhaiya
21.7k
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Lakshman Bhaiya
recategorized
Mar 4, 2021
Mechanics of Materials
gateme-2014-set1
numerical-answers
mechanics-of-materials
thin-cylinders
applied-mechanics-and-design
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–
0
answers
0
votes
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...
Lakshman Bhaiya
21.7k
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Lakshman Bhaiya
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Mar 4, 2021
Mechanics of Materials
gateme-2014-set1
numerical-answers
mechanics-of-materials
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0
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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
Lakshman Bhaiya
21.7k
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Lakshman Bhaiya
recategorized
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Mechanics of Materials
gateme-2014-set1
testing-of-hardness
mechanics-of-materials
applied-mechanics-and-design
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0
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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...
Lakshman Bhaiya
21.7k
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Lakshman Bhaiya
recategorized
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Mechanics of Materials
gateme-2014-set1
mechanics-of-materials
applied-mechanics-and-design
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0
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0
votes
GATE Mechanical 2014 Set 3 | Question: 53
The diameter of a recessed ring was measured by using two spherical balls of diameter $d_2$ = $60$ $mm$ and $d_1$ = $40$ $mm$ as shown in the figure. The distance $H_2$ = $35.55$ $mm$ and $H_1$ = $20.55$ $mm$. The diameter ($D$, in $mm$) of the ring gauge is _______
The diameter of a recessed ring was measured by using two spherical balls of diameter $d_2$ = $60$ $mm$ and $d_1$ = $40$ $mm$ as shown in the figure.The distance $H_2$ = ...
Lakshman Bhaiya
21.7k
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Lakshman Bhaiya
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Mar 4, 2021
Mechanics of Materials
gateme-2014-set3
numerical-answers
gauges
mechanics-of-materials
applied-mechanics-and-design
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–
0
answers
0
votes
GATE Mechanical 2014 Set 3 | Question: 12
Consider a long cylindrical tube of inner and outer radii, $r_i$ and $r_o$ , respectively, length, $L$ and thermal conductivity, $k$. Its inner and outer surfaces are maintained at $T_i$ and $T_o$ , respectively ( $T_i > T_o$ ). Assuming one-dimensional steady ... $\dfrac{1}{4\pi kL}\ln \bigg (\dfrac{r_o}{r_i} \bigg )$
Consider a long cylindrical tube of inner and outer radii, $r_i$ and $r_o$ , respectively, length, $L$ and thermal conductivity, $k$. Its inner and outer surfaces are mai...
Lakshman Bhaiya
21.7k
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Mechanics of Materials
gateme-2014-set3
thin-cylinders
mechanics-of-materials
applied-mechanics-and-design
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–
0
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0
votes
GATE Mechanical 2014 Set 2 | Question: 38
Consider the two states of stress as shown in configurations I and II in the figure below. From the standpoint of distortion energy (von-Mises) criterion, which one of the following statements is true? $I$ yields after $II$ $II$ yields after $I$ Both yield simultaneously Nothing can be said about their relative yielding
Consider the two states of stress as shown in configurations I and II in the figure below. From the standpoint of distortion energy (von-Mises) criterion, which one of th...
Lakshman Bhaiya
21.7k
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Mechanics of Materials
gateme-2014-set2
mechanics-of-materials
applied-mechanics-and-design
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0
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GATE Mechanical 2014 Set 2 | Question: 19
A component can be produced by any of the four processes $I$, $II$, $III$ and $IV$. The fixed cost and the variable cost for each of the processes are listed below. The most economical process for producing a batch of $100$ ... $I$ $II$ $III$ $IV$
A component can be produced by any of the four processes $I$, $II$, $III$ and $IV$. The fixed cost and the variable cost for each of the processes are listed below. The m...
Lakshman Bhaiya
21.7k
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Lakshman Bhaiya
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Mechanics of Materials
gateme-2014-set2
mechanics-of-materials
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0
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0
votes
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...
Lakshman Bhaiya
21.7k
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Lakshman Bhaiya
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Mechanics of Materials
gateme-2014-set2
mechanics-of-materials
plane-stress
applied-mechanics-and-design
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–
0
answers
0
votes
GATE Mechanical 2014 Set 1 | Question: 54
If the Taylor’s tool life exponent $n$ is $0.2$, and the tool changing time is $1.5$ $min$, then the tool life (in $min$) for maximum production rate is _______
If the Taylor’s tool life exponent $n$ is $0.2$, and the tool changing time is $1.5$ $min$, then the tool life (in $min$) for maximum production rate is _______
Lakshman Bhaiya
21.7k
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Mechanics of Materials
gateme-2014-set1
numerical-answers
machining-and-machine-tool-operations
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0
answers
0
votes
GATE2020-ME-2: 9
The process, that uses a tapered horn to amplify and focus the mechanical energy for machining of glass, is electrochemical machining electrical discharge machining ultrasonic machining abrasive jet machining
The process, that uses a tapered horn to amplify and focus the mechanical energy for machining of glass, iselectrochemical machiningelectrical discharge machiningultrason...
soujanyareddy13
100
points
soujanyareddy13
recategorized
Nov 16, 2020
Mechanics of Materials
gateme-2020-set2
energy-methods
mechanics-of-materials
applied-mechanics-and-design
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–
1
answers
1
votes
GATE2017 ME-2: 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 $-0.5$ $-0.69$ $-0.75$ $-1.0$
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 tens...
soujanyareddy13
100
points
soujanyareddy13
retagged
Nov 15, 2020
Mechanics of Materials
gateme-2017-set2
mechanics-of-materials
applied-mechanics-and-design
+
–
0
answers
0
votes
GATE2019 ME-2: 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
Endurance limit of a beam subjected to pure bending decreases withdecrease in the surface roughness and decrease in the size of the beamincrease in the surface roughness ...
soujanyareddy13
100
points
soujanyareddy13
retagged
Nov 12, 2020
Mechanics of Materials
gateme-2019-set2
deflection-of-beams
mechanics-of-materials
applied-mechanics-and-design
+
–
0
answers
0
votes
GATE2019 ME-2: 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 $(0.35, - 0.15)$ $(0.5, 0.0)$ $(0.5, - 0.15)$ $(0.5, - 0.5)$
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 condi...
soujanyareddy13
100
points
soujanyareddy13
retagged
Nov 12, 2020
Mechanics of Materials
gateme-2019-set2
mechanics-of-materials
applied-mechanics-and-design
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GATE2019 ME-2: 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 $\dfrac{qL^4}{15EI} \\$ $\dfrac{qL^4}{30EI} \\$ $\dfrac{qL^4}{10EI} \\$ $\dfrac{qL^4}{60EI}$
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 $E$, a...
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Sep 12, 2020
Mechanics of Materials
gateme-2019-set2
applied-mechanics-and-design
mechanics-of-materials
deflection-of-beams
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GATE2018-2-5
The minimum axial compressive load, $P$, required to initiate buckling for a pinned-pinned slender column with bending stiffness $EI$ and length $L$ is $P=\dfrac{\pi^2 EI}{4L^2} \\$ $P=\dfrac{\pi^2 EI}{L^2} \\$ $P=\dfrac{3\pi^2 EI}{4L^2} \\$ $P=\dfrac{4\pi^2 EI}{L^2}$
The minimum axial compressive load, $P$, required to initiate buckling for a pinned-pinned slender column with bending stiffness $EI$ and length $L$ is$P=\dfrac{\pi^2 EI}...
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Sep 9, 2020
Mechanics of Materials
gateme-2018-set2
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GATE2018-1-39
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)
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 (...
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Sep 9, 2020
Mechanics of Materials
gateme-2018-set1
numerical-answers
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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...
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Aug 19, 2020
Mechanics of Materials
gateme-2013
applied-mechanics-and-design
mechanics-of-materials
youngs-modulus
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GATE2018-2-46
The true stress (in MPa) versus true strain relationship for a metal is given by $\sigma=1020 \varepsilon^{0.4}$. The cross sectional-area at the start of the test (when the stress and strain values are equal to zero) is $100 \: mm^2$. The cross-sectional area at the time of necking ( in $mm^2$) is ______________ correct to two decimal palces.
The true stress (in MPa) versus true strain relationship for a metal is given by $$\sigma=1020 \varepsilon^{0.4}$$. The cross sectional-area at the start of the test (whe...
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Jan 17, 2020
Mechanics of Materials
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numerical-answers
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