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Recent questions tagged mechanics-of-materials
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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...
Arjun
28.5k
points
Arjun
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Feb 26, 2017
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
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0
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GATE2017 ME-2: 7
The state of stress at a point is $\sigma _{x}=\sigma _{y}=\sigma _{z}=\tau _{xz}=\tau _{zx}=\tau _{yz}=\tau _{zy}=0$ and $\tau _{xy}=\tau _{yx}=50$ MPa. The maximum normal stress (in MPa) at that point is ________.
The state of stress at a point is $\sigma _{x}=\sigma _{y}=\sigma _{z}=\tau _{xz}=\tau _{zx}=\tau _{yz}=\tau _{zy}=0$ and $\tau _{xy}=\tau _{yx}=50$ MPa. The maximum norm...
Arjun
28.5k
points
Arjun
asked
Feb 26, 2017
Applied Mechanics and Design
gateme-2017-set2
numerical-answers
applied-mechanics-and-design
mechanics-of-materials
stress-strain
+
–
0
answers
0
votes
GATE2017 ME-1: 44
A horizontal bar, fixed at one end $(x=0)$, has a length of $1$ m, and cross-sectional area of $100 mm^{2}$. Its elastic modulus varies along its length as given by $E(x)=100 e^{-x}$ GPa, where $x$ is the length coordinate (in m) along the axis of the bar. An axial tensile load of $10$ kN is applied at the free end $(x=1)$. The axial displacement of the free end is _________ mm
A horizontal bar, fixed at one end $(x=0)$, has a length of $1$ m, and cross-sectional area of $100 mm^{2}$. Its elastic modulus varies along its length as given by $E(x)...
Arjun
28.5k
points
Arjun
asked
Feb 26, 2017
Applied Mechanics and Design
gateme-2017-set1
numerical-answers
applied-mechanics-and-design
mechanics-of-materials
elastic-constants
+
–
0
answers
0
votes
GATE2017 ME-1: 42
A rectangular region in a solid is in a state of plane strain. The $(x, y)$ coordinates of the corners of the undeformed rectangle are given by $P(0, 0), Q(4, 0), R(4, 3), S(0, 3)$ ... . The deformed length of the elongated diagonal, up to three decimal places is _______ units.
A rectangular region in a solid is in a state of plane strain. The $(x, y)$ coordinates of the corners of the undeformed rectangle are given by $P(0, 0), Q(4, 0), R(4, 3)...
Arjun
28.5k
points
Arjun
asked
Feb 26, 2017
Applied Mechanics and Design
gateme-2017-set1
numerical-answers
applied-mechanics-and-design
mechanics-of-materials
stress-strain
+
–
0
answers
0
votes
GATE2017 ME-1: 40
A point mass of $100$ kg is dropped onto a massless elastic bar (cross-sectional area $= 100 mm^{2}$, length $= 1$ m, Young's modulus$=100$ GPa) from a height $H$ of $10$ mm as shown (Figure is not to scale). If $g= 10 m/s^{2}$, the maximum compression of the elastic bar is _______ mm
A point mass of $100$ kg is dropped onto a massless elastic bar (cross-sectional area $= 100 mm^{2}$, length $= 1$ m, Young's modulus$=100$ GPa) from a height $H$ of $10$...
Arjun
28.5k
points
Arjun
asked
Feb 26, 2017
Applied Mechanics and Design
gateme-2017-set1
numerical-answers
applied-mechanics-and-design
mechanics-of-materials
elastic-constants
+
–
0
answers
0
votes
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...
Arjun
28.5k
points
Arjun
asked
Feb 26, 2017
Mechanics of Materials
gateme-2017-set1
mechanics-of-materials
applied-mechanics-and-design
+
–
1
answers
0
votes
GATE2017 ME-1: 25
In the engineering stress-strain curve for mild steel, the Ultimate Tensile Strength (UTS) refers to Yield stress Proportional limit Maximum stress Fracture stress
In the engineering stress-strain curve for mild steel, the Ultimate Tensile Strength (UTS) refers toYield stressProportional limitMaximum stressFracture stress
Arjun
28.5k
points
Arjun
asked
Feb 26, 2017
Applied Mechanics and Design
gateme-2017-set1
applied-mechanics-and-design
mechanics-of-materials
stress-strain
+
–
0
answers
0
votes
GATE2017 ME-1: 21
In a metal forming operation when the material has just started yielding. the principal stresses are $\sigma_{1}=+180 MPa, \sigma_{2}=-100 MPa, \sigma_{3}=0$. Following von Mises' criterion, the yield stress is _________ MPa.
In a metal forming operation when the material has just started yielding. the principal stresses are $\sigma_{1}=+180 MPa, \sigma_{2}=-100 MPa, \sigma_{3}=0$. Following v...
Arjun
28.5k
points
Arjun
asked
Feb 26, 2017
Applied Mechanics and Design
gateme-2017-set1
numerical-answers
applied-mechanics-and-design
mechanics-of-materials
stress-strain
+
–
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 $\dfrac{d}{2} \\$ $\dfrac{\pi d}{2} \\$ $d \\$ $\pi d$
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}...
Arjun
28.5k
points
Arjun
asked
Feb 26, 2017
Applied Mechanics and Design
gateme-2017-set1
applied-mechanics-and-design
mechanics-of-materials
deflection-of-beams
+
–
0
answers
0
votes
GATE2017 ME-1: 15
A motor driving a solid circular steel shaft transmits $40$ kW of power at $500$ rpm. If the diameter of the shaft is $40$ mm, the maximum shear stress in the shaft is _____________MPa.
A motor driving a solid circular steel shaft transmits $40$ kW of power at $500$ rpm. If the diameter of the shaft is $40$ mm, the maximum shear stress in the shaft is __...
Arjun
28.5k
points
Arjun
asked
Feb 26, 2017
Applied Mechanics and Design
gateme-2017-set1
numerical-answers
applied-mechanics-and-design
mechanics-of-materials
stress-strain
+
–
1
answers
0
votes
GATE2017 ME-1: 13
The Poisson's ratio for a perfectly incompressible linear elastic material is $1$ $0.5$ $0$ Infinity
The Poisson's ratio for a perfectly incompressible linear elastic material is$1$$0.5$$0$Infinity
Arjun
28.5k
points
Arjun
asked
Feb 26, 2017
Applied Mechanics and Design
gateme-2017-set1
applied-mechanics-and-design
mechanics-of-materials
elastic-constants
+
–
0
answers
0
votes
GATE2016-3-50
In a sheet metal of $2$ $mm$ thickness a hole of $10$ $mm$ diameter needs to be punched. The yield strength in tension of the sheet material is $100$ $MPa$ and its ultimate shear strength is $80$ $MPa$. The force required to punch the hole (in $kN$) is __________
In a sheet metal of $2$ $mm$ thickness a hole of $10$ $mm$ diameter needs to be punched. The yield strength in tension of the sheet material is $100$ $MPa$ and its ultima...
Arjun
28.5k
points
Arjun
asked
Feb 24, 2017
Applied Mechanics and Design
gateme-2016-set3
numerical-answers
applied-mechanics-and-design
mechanics-of-materials
stress-strain
+
–
0
answers
0
votes
GATE2016-3-36
Two masses m are attached to opposite sides of a rigid rotating shaft in the vertical plane. Another pair of equal masses $m_1$ is attached to the opposite sides of the shaft in the vertical plane as shown in figure. Consider $m=1 \: kg$, $e=50 \: mm$, $e_1=20 \: mm$ ... $a=2 \: m$ and $a_1 = 2.5 \: m$. For the system to be dynamically balanced, $m_1$ should be ________ $kg$.
Two masses m are attached to opposite sides of a rigid rotating shaft in the vertical plane. Another pair of equal masses $m_1$ is attached to the opposite sides of the s...
Arjun
28.5k
points
Arjun
asked
Feb 24, 2017
Applied Mechanics and Design
gateme-2016-set3
numerical-answers
applied-mechanics-and-design
mechanics-of-materials
+
–
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 $\dfrac{wL}{2} \\$ $\dfrac{3wL}{8} \\$ $\dfrac{wL}{4} \\$ $\dfrac{wL}{8}$
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 righ...
Arjun
28.5k
points
Arjun
asked
Feb 24, 2017
Applied Mechanics and Design
gateme-2016-set3
applied-mechanics-and-design
mechanics-of-materials
deflection-of-beams
+
–
0
answers
0
votes
GATE2016-3-34
Two circular shafts made of same material, one solid (S) and one hollow (H), have the same length and polar moment of inertia. Both are subjected to same torque. Here, $\theta _S$ is the twist and $\tau _S$ ... $\theta _S<\theta _H$ and $\tau _S<\tau _H$ $\theta _S=\theta _H$ and $\tau _S<\tau _H$
Two circular shafts made of same material, one solid (S) and one hollow (H), have the same length and polar moment of inertia. Both are subjected to same torque. Here, $\...
Arjun
28.5k
points
Arjun
asked
Feb 24, 2017
Applied Mechanics and Design
gateme-2016-set3
applied-mechanics-and-design
mechanics-of-materials
+
–
0
answers
0
votes
GATE2016-3-33
A square plate of dimension $L \times L$ is subjected to a uniform pressure load $p=250 \: MPa$ on its edges as shown in the figure. Assume plane stress conditions. The Young’s modulus $E=200 \: GPa$ .The deformed shape is a square of dimension $L− 2\delta$. If $L = 2 \: m$ and $\delta=0.001 \: m$, the Poisson’s ratio of the plate material is __________
A square plate of dimension $L \times L$ is subjected to a uniform pressure load $p=250 \: MPa$ on its edges as shown in the figure. Assume plane stress conditions. The Y...
Arjun
28.5k
points
Arjun
asked
Feb 24, 2017
Applied Mechanics and Design
gateme-2016-set3
numerical-answers
applied-mechanics-and-design
mechanics-of-materials
stress-strain
+
–
0
answers
0
votes
GATE2016-3-20
Engineering strain of a mild steel sample is recorded as $0.100\%$. The true strain is $0.010\%$ $0.055\%$ $0.099\%$ $0.101\%$
Engineering strain of a mild steel sample is recorded as $0.100\%$. The true strain is$0.010\%$$0.055\%$$0.099\%$$0.101\%$
Arjun
28.5k
points
Arjun
asked
Feb 24, 2017
Applied Mechanics and Design
gateme-2016-set3
applied-mechanics-and-design
mechanics-of-materials
stress-strain
+
–
0
answers
0
votes
GATE2016-3-8
T he state of stress at a point on an element is shown in figure (a). The same state of stress is shown in another coordinate system in figure (b). The components $(\tau _{xx},\tau_{yy},\tau _{xy})$ are given by $(p/\sqrt{2},-p/\sqrt{2},0)$ $(0,0,p)$ $(p,-p,p/\sqrt{2})$ $(0,0,p/\sqrt{2})$
T he state of stress at a point on an element is shown in figure (a). The same state of stress is shown in another coordinate system in figure (b).The components $(\tau _...
Arjun
28.5k
points
Arjun
asked
Feb 24, 2017
Applied Mechanics and Design
gateme-2016-set3
applied-mechanics-and-design
mechanics-of-materials
+
–
0
answers
0
votes
GATE2016-3-7
The cross-sections of two solid bars made of the same material are shown in the figure. The square cross-section has flexural (bending) rigidity $I_1$, while the circular cross-section has flexural rigidity $I_2$. Both sections have the same cross-sectional area. The ratio $I_1/I_2$ is $1/ \pi \\$ $2/ \pi \\$ $ \pi/3 \\$ $ \pi/6 $
The cross-sections of two solid bars made of the same material are shown in the figure. The square cross-section has flexural (bending) rigidity $I_1$, while the circular...
Arjun
28.5k
points
Arjun
asked
Feb 24, 2017
Applied Mechanics and Design
gateme-2016-set3
applied-mechanics-and-design
mechanics-of-materials
+
–
0
answers
0
votes
GATE2016-3-6
A force F is acting on a bent bar which is clamped at one end as shown in the figure. The CORRECT free body diagram is
A force F is acting on a bent bar which is clamped at one end as shown in the figure.The CORRECT free body diagram is
Arjun
28.5k
points
Arjun
asked
Feb 24, 2017
Applied Mechanics and Design
gateme-2016-set3
applied-mechanics-and-design
mechanics-of-materials
+
–
0
answers
0
votes
GATE2016-2-38
In a structural member under fatigue loading, the minimum and maximum stresses developed at the critical point are $50$ $MPa$ and $150$ $MPa$, respectively. The endurance, yield, and the ultimate strengths of the material are $200$ $MPa$, $300$ $MPa$ and $400$ $MPa$, respectively. ... safety using modified Goodman criterion is $\dfrac{3}{2} \\$ $\dfrac{8}{5} \\$ $\dfrac{12}{7} \\$ $2$
In a structural member under fatigue loading, the minimum and maximum stresses developed at the critical point are $50$ $MPa$ and $150$ $MPa$, respectively. The endurance...
Arjun
28.5k
points
Arjun
asked
Feb 24, 2017
Applied Mechanics and Design
gateme-2016-set2
applied-mechanics-and-design
mechanics-of-materials
stress-strain
+
–
0
answers
0
votes
GATE2016-2-34
In the figure, the load $P=1 \: N$, length $L=1 \: m$, Young’s modulus $E=70 \: GPa$, and the cross-section of the links is a square with dimension $10 \: mm \times 10 \: mm$. All joints are pin joints. The stress (in $Pa$) in the link $AB$ is ___________ (Indicate compressive stress by a negative sign and tensile stress by a positive sign.)
In the figure, the load $P=1 \: N$, length $L=1 \: m$, Young’s modulus $E=70 \: GPa$, and the cross-section of the links is a square with dimension $10 \: mm \times 10 ...
Arjun
28.5k
points
Arjun
asked
Feb 24, 2017
Applied Mechanics and Design
gateme-2016-set2
numerical-answers
applied-mechanics-and-design
mechanics-of-materials
stress-strain
+
–
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)$
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 giv...
Arjun
28.5k
points
Arjun
asked
Feb 24, 2017
Applied Mechanics and Design
gateme-2016-set2
applied-mechanics-and-design
mechanics-of-materials
deflection-of-beams
+
–
0
answers
0
votes
GATE2016-2-32
A rigid horizontal rod of length $2L$ is fixed to a circular cylinder of radius $R$ as shown in the figure. Vertical forces of magnitude $P$ are applied at the two ends as shown in the figure. The shear modulus for the cylinder is $G$ and the Young’s modulus is $E$. The vertical deflection at point A is $PL^3/(\pi R^4G)$ $PL^3/(\pi R^4E)$ $2PL^3/(\pi R^4E)$ $4PL^3/(\pi R^4G)$
A rigid horizontal rod of length $2L$ is fixed to a circular cylinder of radius $R$ as shown in the figure. Vertical forces of magnitude $P$ are applied at the two ends a...
Arjun
28.5k
points
Arjun
asked
Feb 24, 2017
Applied Mechanics and Design
gateme-2016-set2
applied-mechanics-and-design
mechanics-of-materials
stress-strain
+
–
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$
Arjun
28.5k
points
Arjun
asked
Feb 24, 2017
Mechanics of Materials
gateme-2016-set2
mechanics-of-materials
applied-mechanics-and-design
+
–
0
answers
0
votes
GATE2016-2-11
A machine element XY, fixed at end X, is subjected to an axial load P, transverse load F, and a twisting moment T at its free end Y. The most critical point from the strength point of view is a point on the circumference at location Y a point at the center at location Y a point on the circumference at location X a point at the center at location X
A machine element XY, fixed at end X, is subjected to an axial load P, transverse load F, and a twisting moment T at its free end Y. The most critical point from the stre...
Arjun
28.5k
points
Arjun
asked
Feb 24, 2017
Applied Mechanics and Design
gateme-2016-set2
applied-mechanics-and-design
mechanics-of-materials
stress-strain
+
–
0
answers
0
votes
GATE2016-2-8
A thin cylindrical pressure vessel with closed-ends is subjected to internal pressure. The ratio of circumferential (hoop) stress to the longitudinal stress is $0.25$ $0.50$ $1.0$ $2.0$
A thin cylindrical pressure vessel with closed-ends is subjected to internal pressure. The ratio of circumferential (hoop) stress to the longitudinal stress is$0.25$$0.50...
Arjun
28.5k
points
Arjun
asked
Feb 24, 2017
Applied Mechanics and Design
gateme-2016-set2
applied-mechanics-and-design
mechanics-of-materials
stress-strain
+
–
0
answers
0
votes
GATE2016-2-7
A shaft with a circular cross-section is subjected to pure twisting moment. The ratio of the maximum shear stress to the largest principal stress is $2.0$ $1.0$ $0.5$ $0$
A shaft with a circular cross-section is subjected to pure twisting moment. The ratio of the maximum shear stress to the largest principal stress is$2.0$$1.0$$0.5$$0$
Arjun
28.5k
points
Arjun
asked
Feb 24, 2017
Applied Mechanics and Design
gateme-2016-set2
applied-mechanics-and-design
mechanics-of-materials
stress-strain
+
–
0
answers
0
votes
GATE2016-1-52
A $300$ $mm$ thick slab is being cold rolled using roll of $600$ $mm$ diameter. If the coefficient of friction is $0.08$, the maximum possible reduction (in $mm$) is __________
A $300$ $mm$ thick slab is being cold rolled using roll of $600$ $mm$ diameter. If the coefficient of friction is $0.08$, the maximum possible reduction (in $mm$) is ____...
Arjun
28.5k
points
Arjun
asked
Feb 24, 2017
Applied Mechanics and Design
gateme-2016-set1
numerical-answers
applied-mechanics-and-design
mechanics-of-materials
+
–
0
answers
0
votes
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...
Arjun
28.5k
points
Arjun
asked
Feb 24, 2017
Mechanics of Materials
gateme-2016-set1
mechanics-of-materials
applied-mechanics-and-design
+
–
0
answers
0
votes
GATE2016-1-48
A hypothetical engineering stress-strain curve shown in the figure has three straight lines $PQ, QR, RS$ with coordinates P$(0,0)$, Q$(0.2,100)$, R$(0.6,140)$ and S$(0.8,130)$. $'Q'$ is the yield point, $'R'$ is the UTS point and $'S'$ the fracture point. The toughness of the material (in $MJ/m^3$) is __________
A hypothetical engineering stress-strain curve shown in the figure has three straight lines $PQ, QR, RS$ with coordinates P$(0,0)$, Q$(0.2,100)$, R$(0.6,140)$ and S$(0.8,...
Arjun
28.5k
points
Arjun
asked
Feb 24, 2017
Applied Mechanics and Design
gateme-2016-set1
numerical-answers
applied-mechanics-and-design
mechanics-of-materials
stress-strain
+
–
0
answers
0
votes
GATE2016-1-38
The principal stresses at a point inside a solid object are $\sigma _1$ = $100$ $MPa$, $\sigma _2$ = $100$ $MPa$ and $\sigma _3$ = $0$ $MPa$. The yield strength of the material is $200$ $MPa$. The factor of safety calculated using Tresca (maximum shear stress) theory is ... one of the following relations is TRUE? $n_T=(\sqrt{3}/2)n_V$ $n_T=(\sqrt{3})n_V$ $n_T=n_V$ $n_V=(\sqrt{3})n_T$
The principal stresses at a point inside a solid object are $\sigma _1$ = $100$ $MPa$, $\sigma _2$ = $100$ $MPa$ and $\sigma _3$ = $0$ $MPa$. The yield strength of the ma...
Arjun
28.5k
points
Arjun
asked
Feb 24, 2017
Applied Mechanics and Design
gateme-2016-set1
applied-mechanics-and-design
mechanics-of-materials
stress-strain
+
–
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.)
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-...
Arjun
28.5k
points
Arjun
asked
Feb 24, 2017
Applied Mechanics and Design
gateme-2016-set1
numerical-answers
applied-mechanics-and-design
mechanics-of-materials
deflection-of-beams
+
–
0
answers
0
votes
GATE2016-1-33
The figure shows cross-section of a beam subjected to bending. The area moment of inertia (in $mm^4$) of this cross-section about its base is ________
The figure shows cross-section of a beam subjected to bending. The area moment of inertia (in $mm^4$) of this cross-section about its base is ________
Arjun
28.5k
points
Arjun
asked
Feb 24, 2017
Applied Mechanics and Design
gateme-2016-set1
numerical-answers
applied-mechanics-and-design
mechanics-of-materials
bending-and-shear-stress
+
–
0
answers
0
votes
GATE2016-1-32
A horizontal bar with a constant cross-section is subjected to loading as shown in the figure. The Young’s moduli for the sections $AB$ and $BC$ are $3E$ and $E$, respectively. For the deflection at $C$ to be zero, the ratio $\displaystyle{\frac{P}{F}}$ is ____________
A horizontal bar with a constant cross-section is subjected to loading as shown in the figure. The Young’s moduli for the sections $AB$ and $BC$ are $3E$ and $E$, respe...
Arjun
28.5k
points
Arjun
asked
Feb 24, 2017
Applied Mechanics and Design
gateme-2016-set1
numerical-answers
applied-mechanics-and-design
mechanics-of-materials
stress-strain
+
–
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 $19\%$ $29\%$ $41\%$ $50\%$
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\%$$...
Arjun
28.5k
points
Arjun
asked
Feb 24, 2017
Mechanics of Materials
gateme-2016-set1
deflection-of-beams
mechanics-of-materials
applied-mechanics-and-design
+
–
0
answers
0
votes
GATE2016-1-8
The cross sections of two hollow bars made of the same material are concentric circles as shown in the figure. It is given that $r_3>r_1$ and $r_4 > r_2$, and that the areas of the cross-sections are the same. $J_1$ and $J_2$ are the torsional rigidities of the bars on ... , respectively. The ratio $\displaystyle{\frac{J_2}{J_1}}$ is $>1$ $<0.5$ $=1$ between $0.5$ and $1$
The cross sections of two hollow bars made of the same material are concentric circles as shown in the figure. It is given that $r_3>r_1$ and $r_4 r_2$, and that the are...
Arjun
28.5k
points
Arjun
asked
Feb 24, 2017
Applied Mechanics and Design
gateme-2016-set1
applied-mechanics-and-design
mechanics-of-materials
+
–
0
answers
0
votes
GATE2016-1-6
A rigid ball of weight $100$ $N$ is suspended with the help of a string. The ball is pulled by a horizontal force $F$ such that the string makes an angle of $30^o$ with the vertical. The magnitude of force $F$ (in $N$) is __________
A rigid ball of weight $100$ $N$ is suspended with the help of a string. The ball is pulled by a horizontal force $F$ such that the string makes an angle of $30^o$ with t...
Arjun
28.5k
points
Arjun
asked
Feb 24, 2017
Applied Mechanics and Design
gateme-2016-set1
numerical-answers
applied-mechanics-and-design
mechanics-of-materials
+
–
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...
Arjun
28.5k
points
Arjun
asked
Feb 24, 2017
Mechanics of Materials
gateme-2015-set3
numerical-answers
thin-cylinders
mechanics-of-materials
applied-mechanics-and-design
+
–
0
answers
0
votes
GATE2015-3-49
A shaft of length $90 \: mm$ has a tapered portion of length $55 \: mm$. The diameter of the taper is $80 \: mm$ at one end and $65 \: mm$ at the other. If the taper is made by tailstock set over method, the taper angle and the set over respectively are $15^\circ 32′$ and $12.16 \: mm$ $18^\circ 32′$ and $15.66 \: mm$ $11^\circ 22′$ and $10.26 \: mm$ $10^\circ 32′$ and $14.46 \: mm$
A shaft of length $90 \: mm$ has a tapered portion of length $55 \: mm$. The diameter of the taper is $80 \: mm$ at one end and $65 \: mm$ at the other. If the taper is m...
Arjun
28.5k
points
Arjun
asked
Feb 24, 2017
Applied Mechanics and Design
gateme-2015-set3
applied-mechanics-and-design
mechanics-of-materials
torsion-of-circular-shafts
+
–
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