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Recent questions tagged deflection-of-beams
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GATE2020-ME-1: 40
The barrier shown between two water tanks of unit width $(1\: m)$ into the plane of the screen in modeled as a cantilever. Taking the density of water as $1000\:kg/m^{3}$ , and the acceleration due to gravity as $10\:m/s^{2}$ , the maximum absolute bending moment developed in the cantilever is _________$kN\cdot m$ (round off to the nearest integer).
go_editor
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Applied Mechanics and Design
Feb 19, 2020
by
go_editor
5.0k
points
gateme-2020-set1
numerical-answers
applied-mechanics-and-design
mechanics-of-materials
deflection-of-beams
0
answers
0
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GATE2020-ME-1: 41
The magnitude of reaction force at joint $C$ of the hinge-beam shown in the figure is __________$kN$ (round off to $2$ decimal places).
go_editor
asked
in
Applied Mechanics and Design
Feb 19, 2020
by
go_editor
5.0k
points
gateme-2020-set1
numerical-answers
applied-mechanics-and-design
mechanics-of-materials
deflection-of-beams
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
Arjun
asked
in
Mechanics of Materials
Feb 9, 2019
by
Arjun
27.4k
points
gateme-2019-set2
deflection-of-beams
mechanics-of-materials
applied-mechanics-and-design
0
answers
0
votes
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 $\dfrac{qL^4}{15EI} \\$ $\dfrac{qL^4}{30EI} \\$ $\dfrac{qL^4}{10EI} \\$ $\dfrac{qL^4}{60EI}$
Arjun
asked
in
Mechanics of Materials
Feb 9, 2019
by
Arjun
27.4k
points
gateme-2019-set2
applied-mechanics-and-design
mechanics-of-materials
deflection-of-beams
0
answers
0
votes
GATE2019 ME-2: 37
A horizontal cantilever beam of circular cross-section, length $1.0$ m and flexural rigidity $EI=200 \: N \cdot m^2$ is subjected to an applied moment $M_A = 1.0 \: N \cdot m$ at the free end as shown in the figure. The magnitude of the vertical deflection of the free end is ______ mm (round off to one decimal place).
Arjun
asked
in
Applied Mechanics and Design
Feb 9, 2019
by
Arjun
27.4k
points
gateme-2019-set2
numerical-answers
applied-mechanics-and-design
mechanics-of-materials
deflection-of-beams
0
answers
0
votes
GATE2019 ME-1: 39
Consider an elastic straight beam of length $L= 10 \pi \: m$, with square cross-section of side $a=5 \: mm$, and Young's modulus $E=200 \: GPa$. This straight beam was bent in such a way that the two ends meets, to form a ... $MPa$.
Arjun
asked
in
Applied Mechanics and Design
Feb 9, 2019
by
Arjun
27.4k
points
gateme-2019-set1
numerical-answers
applied-mechanics-and-design
mechanics-of-materials
deflection-of-beams
0
answers
0
votes
GATE2019 ME-1: 40
Consider a prismatic straight beam of length $L=\pi \: m$, pinned at the two ends as shown in the figure. The beam has a square cross-section of side $p=6 \: mm$. The Young’s modulus $E=200 \: GPa$, and the coefficient of thermal expansion $\alpha = 3 \times 10^{-6} K^{-1}$. The minimum temperature rise required to cause Euler buckling of the beam is _______$K$.
Arjun
asked
in
Applied Mechanics and Design
Feb 9, 2019
by
Arjun
27.4k
points
gateme-2019-set1
numerical-answers
applied-mechanics-and-design
mechanics-of-materials
deflection-of-beams
0
answers
0
votes
GATE ME 2012 | Question: 22
A cantilever beam of length $L$ is subjected to a moment $M$ at the free end. The moment of inertia of the beam cross section about the neutral axis is $I$ and the Young's modulus is $E$. The magnitude of the maximum deflection is $\dfrac{ML^2}{2EI} \\$ $\dfrac{ML^2}{EI} \\$ $\dfrac{2ML^2}{EI} \\$ $\dfrac{4ML^2}{EI}$
Andrijana3306
asked
in
Applied Mechanics and Design
Mar 20, 2018
by
Andrijana3306
1.5k
points
gateme-2012
applied-mechanics-and-design
mechanics-of-materials
deflection-of-beams
0
answers
0
votes
GATE2018-1-19
A steel column of rectangular section ($15$ mm $\times \: 10$ mm) and length $1.5$ m is simply supported at both ends. Assuming modulus of elasticity, $E=200$ GPa for steel, the critical axial load (in kN) is ______ (correct to two decimal places).
Arjun
asked
in
Applied Mechanics and Design
Feb 17, 2018
by
Arjun
27.4k
points
gateme-2018-set1
numerical-answers
applied-mechanics-and-design
mechanics-of-materials
deflection-of-beams
0
answers
0
votes
GATE2017 ME-2: 9
The cantilever beam of Length $L$ and Flexural modulus $EI$ is subjected to a point load $P$ at the free end. The elastic strain energy stored in the beam due to bending (neglecting transverse shear) is $\dfrac{P^{2}L^{3}}{6EI} \\$ $\dfrac{P^{2}L^{3}}{3EI} \\$ $\dfrac{PL^{3}}{3EI} \\$ $\dfrac{PL^{3}}{6EI}$
Arjun
asked
in
Applied Mechanics and Design
Feb 27, 2017
by
Arjun
27.4k
points
gateme-2017-set2
applied-mechanics-and-design
mechanics-of-materials
deflection-of-beams
0
answers
0
votes
GATE2017 ME-1: 16
Consider a beam with circular cross-section of diameter $d$. The ratio of the second moment of area about the neutral axis to the section modulus of the area is $\dfrac{d}{2} \\$ $\dfrac{\pi d}{2} \\$ $d \\$ $\pi d$
Arjun
asked
in
Applied Mechanics and Design
Feb 27, 2017
by
Arjun
27.4k
points
gateme-2017-set1
applied-mechanics-and-design
mechanics-of-materials
deflection-of-beams
0
answers
0
votes
GATE2016-3-35
A beam of length $L$ is carrying a uniformly distributed load w per unit length. The flexural rigidity of the beam is $EI$. The reaction at the simple support at the right end is $\dfrac{wL}{2} \\$ $\dfrac{3wL}{8} \\$ $\dfrac{wL}{4} \\$ $\dfrac{wL}{8}$
Arjun
asked
in
Applied Mechanics and Design
Feb 24, 2017
by
Arjun
27.4k
points
gateme-2016-set3
applied-mechanics-and-design
mechanics-of-materials
deflection-of-beams
0
answers
0
votes
GATE2016-2-33
A simply supported beam of length $2L$ is subjected to a moment $M$ at the mid-point $x = 0$ as shown in the figure. The deflection in the domain $0 \leq x \leq L$ is given by $w=\dfrac{-Mx}{12EIL}(L-x)(x+c)$ where $E$ is the Young's modulus, $I$ is the area moment ... is a constant (to be determined) . The slope at the center $x$ = $0$ is $ML/(2EI)$ $ML/(3EI)$ $ML/(6EI)$ $ML/(12EI)$
Arjun
asked
in
Applied Mechanics and Design
Feb 24, 2017
by
Arjun
27.4k
points
gateme-2016-set2
applied-mechanics-and-design
mechanics-of-materials
deflection-of-beams
0
answers
0
votes
GATE2016-1-34
A simply-supported beam of length $3L$ is subjected to the loading shown in the figure. It is given that $P=1\: N$, $L=1\:m$ and Young's modulus $E=200\:GPa$. The cross-section is a square with dimension $10\:mm\times10\:mm$. The ... at a distance of $1.5L$ from the left end is _____________ (Indicate compressive stress by a negative sign and tensile stress by a positive sign.)
Arjun
asked
in
Applied Mechanics and Design
Feb 24, 2017
by
Arjun
27.4k
points
gateme-2016-set1
numerical-answers
applied-mechanics-and-design
mechanics-of-materials
deflection-of-beams
0
answers
0
votes
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 $19\%$ $29\%$ $41\%$ $50\%$
Arjun
asked
in
Mechanics of Materials
Feb 24, 2017
by
Arjun
27.4k
points
gateme-2016-set1
deflection-of-beams
mechanics-of-materials
applied-mechanics-and-design
0
answers
0
votes
GATE2015-3-48
A cantilever bracket is bolted to a column using three M$12×1.75$ bolts P, Q and R. The value of maximum shear stress developed in the bolt P (in $MPa$) is ________
Arjun
asked
in
Applied Mechanics and Design
Feb 24, 2017
by
Arjun
27.4k
points
gateme-2015-set3
numerical-answers
applied-mechanics-and-design
mechanics-of-materials
deflection-of-beams
0
answers
0
votes
GATE2015-3-46
For the overhanging beam shown in figure, the magnitude of maximum bending moment (in $kN$-$m$) is ________
Arjun
asked
in
Applied Mechanics and Design
Feb 24, 2017
by
Arjun
27.4k
points
gateme-2015-set3
numerical-answers
applied-mechanics-and-design
mechanics-of-materials
deflection-of-beams
0
answers
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 ________
Arjun
asked
in
Mechanics of Materials
Feb 24, 2017
by
Arjun
27.4k
points
gateme-2015-set2
numerical-answers
deflection-of-beams
mechanics-of-materials
applied-mechanics-and-design
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 $2.5$ $5$ $10$ $25$
Arjun
asked
in
Mechanics of Materials
Feb 24, 2017
by
Arjun
27.4k
points
gateme-2015-set2
deflection-of-beams
mechanics-of-materials
applied-mechanics-and-design
0
answers
0
votes
GATE2015-1-44
A cantilever beam with flexural rigidity of $200$ $N.m^2$ is loaded as shown in the figure. The deflection (in $mm$) at the tip of the beam is _______
Arjun
asked
in
Applied Mechanics and Design
Feb 24, 2017
by
Arjun
27.4k
points
gateme-2015-set1
numerical-answers
applied-mechanics-and-design
mechanics-of-materials
deflection-of-beams
0
answers
0
votes
GATE2015-1-15
Consider a stepped shaft subjected to a twisting moment applied at $B$ as shown in the figure. Assume shear modulus, $G$ = $77$ $GPa$. The angle of twist at $C$ (in degrees) is __________
Arjun
asked
in
Applied Mechanics and Design
Feb 24, 2017
by
Arjun
27.4k
points
gateme-2015-set1
numerical-answers
applied-mechanics-and-design
mechanics-of-materials
deflection-of-beams
0
answers
0
votes
GATE Mechanical 2014 Set 3 | Question: 35
A force $P$ is applied at a distance $x$ from the end of the beam as shown in the figure. What would be the value of $x$ so that the displacement at ‘$A$’ is equal to zero? $0.5L$ $0.25L$ $0.33L$ $0.66L$
Arjun
asked
in
Applied Mechanics and Design
Feb 19, 2017
by
Arjun
27.4k
points
gateme-2014-set3
applied-mechanics-and-design
mechanics-of-materials
deflection-of-beams
0
answers
0
votes
GATE Mechanical 2014 Set 3 | Question: 32
Consider a simply supported beam of length, $50h$, with a rectangular cross-section of depth, $h$, and width, $2h$. The beam carries a vertical point load, P, at its mid-point. The ratio of the maximum shear stress to the maximum bending stress in the beam is $0.02$ $0.10$ $0.05$ $0.01$
Arjun
asked
in
Applied Mechanics and Design
Feb 19, 2017
by
Arjun
27.4k
points
gateme-2014-set3
applied-mechanics-and-design
mechanics-of-materials
deflection-of-beams
0
answers
0
votes
GATE Mechanical 2014 Set 2 | Question: 31
A cantilever beam of length, $L$, with uniform cross-section and flexural rigidity, $EI$, is loaded uniformly by a vertical load, $w$ per unit length. The maximum vertical deflection of the beam is given by $\dfrac{wL^4}{8EI} \\$ $\dfrac{wL^4}{16EI} \\$ $\dfrac{wL^4}{4EI} \\$ $\dfrac{wL^4}{24EI}$
Arjun
asked
in
Applied Mechanics and Design
Feb 19, 2017
by
Arjun
27.4k
points
gateme-2014-set2
applied-mechanics-and-design
mechanics-of-materials
deflection-of-beams
0
answers
0
votes
GATE Mechanical 2014 Set 2 | Question: 30
The flexural rigidity $(EI)$ of a cantilever beam is assumed to be constant over the length of the beam shown in figure. If a load $P$ and bending moment $PL/2$ ... $\dfrac{PL^2}{EI} \\$ $\dfrac{3}{2}\dfrac{PL^2}{EI} \\$ $\dfrac{5}{2}\dfrac{PL^2}{EI}$
Arjun
asked
in
Applied Mechanics and Design
Feb 19, 2017
by
Arjun
27.4k
points
gateme-2014-set2
applied-mechanics-and-design
mechanics-of-materials
deflection-of-beams
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 _______
Arjun
asked
in
Applied Mechanics and Design
Feb 19, 2017
by
Arjun
27.4k
points
gateme-2014-set1
numerical-answers
applied-mechanics-and-design
mechanics-of-materials
deflection-of-beams
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 $\text{zero}$ $L/3\pi$ $L/\pi$ $2L/\pi$
piyag476
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Applied Mechanics and Design
Feb 19, 2017
by
piyag476
1.4k
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gateme-2013
applied-mechanics-and-design
mechanics-of-materials
deflection-of-beams
0
answers
0
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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 $\text{zero}$ $W/4$ $W/2$ $W$
piyag476
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Applied Mechanics and Design
Feb 19, 2017
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piyag476
1.4k
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gateme-2013
applied-mechanics-and-design
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deflection-of-beams
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