Recent questions in Solid Mechanics / GO Civil

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GATE Civil 2021 Set 2 | Question: 6
Strain hardening of structural steel means experiencing higher stress than yield stress with increased deformation strengthening steel member externally for reducing strain experienced strain occurring before plastic flow of steel material decrease in the stress experienced with increasing strain

Strain hardening of structural steel meansexperiencing higher stress than yield stress with increased deformationstrengthening steel member externally for reducing strain...

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GATE Civil 2021 Set 2 | Question: 19
A solid circular torsional member $\text{OPQ}$ is subjected to torsional moments as shown in the figure (not to scale). The yield shear strength of the constituent material is $\text{160 MPa}$. The absolute maximum shear stress in the member (in $\text{MPa}$, $\textit{round off to one decimal place}$) is __________________________

A solid circular torsional member $\text{OPQ}$ is subjected to torsional moments as shown in the figure (not to scale). The yield shear strength of the constituent materi...

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GATE Civil 2021 Set 2 | Question: 29
A frame $\text{EFG}$ is shown in the figure. All members are prismatic and have equal flexural rigidity. The member $\text{FG}$ carries a uniformly distributed load $\text{w}$ per unit length. Axial deformation of any member is neglected. Considering the joint $\text{F}$ being ... $\text{0.375 wL}$ $\text{0.453 wL}$ $\text{0.482 wL}$ $\text{0.500 wL}$

A frame $\text{EFG}$ is shown in the figure. All members are prismatic and have equal flexural rigidity. The member $\text{FG}$ carries a uniformly distributed load $\tex...

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GATE Civil 2021 Set 2 | Question: 37
An elevated cylindrical water storage tank is shown in the figure. The tank has inner diameter of $\text{1.5 m}$. It is supported on a solid steel circular column of diameter $\text{75 mm}$ and total height $\text{(L)}$ of $\text{4m}$ ... $\text{(h)}$ of the water permissible (in $\text{m}$, $\textit{round off to one decimal place}$) is ________________________

An elevated cylindrical water storage tank is shown in the figure. The tank has inner diameter of $\text{1.5 m}$. It is supported on a solid steel circular column of diam...

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GATE Civil 2021 Set 1 | Question: 4
A propped cantilever beam $\text{EF}$ is subjected to a unit moving load as shown in the figure (not to scale). The sign convention for positive shear force at the left and right sides of any section is also shown. The $\text{CORRECT}$ qualitative nature of the influence line diagram for shear force at $\text{G}$ is

A propped cantilever beam $\text{EF}$ is subjected to a unit moving load as shown in the figure (not to scale). The sign convention for positive shear force at the left a...

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Arjun asked Feb 19, 2021

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GATE Civil 2021 Set 1 | Question: 20
The state of stress in a deformable body is shown in the figure. Consider transformation of the stress from the $\text{x-y}$ coordinate system to the $\text{X-Y}$ coordinate system. The angle $\theta$, locating the $\text{X}$-axis, is ... $\text{MPa}, \textit{round off to one decimal place}$) in $\text{x-y}$ coordinate system is ______________________

The state of stress in a deformable body is shown in the figure. Consider transformation of the stress from the $\text{x-y}$ coordinate system to the $\text{X-Y}$ coordin...

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GATE Civil 2021 Set 1 | Question: 38
Refer the truss as shown in the figure (not to scale). If load, $F=10\sqrt{3}\text{ kN}$, moment of inertia, $I=8.33\times 10^{6}\text{ mm}^4$, area of cross-section, $A=10^{4}\text{ mm}^2$, and length, $L=2\text{ m}$ ... members of the truss, the compressive stress (in $\text{kN/m}^2, \textit{in integer}$) carried by the member $\text{Q-R}$ is _______________

Refer the truss as shown in the figure (not to scale).If load, $F=10\sqrt{3}\text{ kN}$, moment of inertia, $I=8.33\times 10^{6}\text{ mm}^4$, area of cross-section, $A=1...

Arjun

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8

GATE2020-CE-1-19
A planar elastic structure is subjected to uniformly distributed load, as shown in the figure (not drawn to the scale) Neglecting self-weight, the maximum bending moment generated in the structure (in $kN.m$, round off to the nearest integer), is _______.

A planar elastic structure is subjected to uniformly distributed load, as shown in the figure (not drawn to the scale)Neglecting self-weight, the maximum bending moment g...

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go_editor asked Feb 27, 2020

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GATE2020-CE-1-30
A cantilever beam $\textbf{PQ}$ of uniform flexural rigidity (EI) is subjected to a concentrated moment M at $\textbf{R}$ as shown in the figure The deflection at the free end $\textbf{Q}$ is $\large\frac{ML^2}{6EI} \\$ $\large\frac{ML^2}{4EI} \\$ $\large\frac{3ML^2}{8EI} \\$ $\large\frac{3ML^2}{4EI} $

A cantilever beam $\textbf{PQ}$ of uniform flexural rigidity (EI) is subjected to a concentrated moment M at $\textbf{R}$ as shown in the figure The deflection at the fre...

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GATE2020-CE-1-42
The flange and web plates of the doubly symmetric built-up section are connected by continuous $10\:mm$ thick fillet welds as shown in figure (not drawn to the scale). The moment of inertia of the section about its principal axis $X-X$ ... welds. The maximum shear force (in $kN$ , round off to one decimal place ) that can be carried by the section, is ______.

The flange and web plates of the doubly symmetric built-up section are connected by continuous $10\:mm$ thick fillet welds as shown in figure (not drawn to the scale). Th...

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11

GATE2020 CE-2-28
A prismatic linearly elastic bar of length $L$, cross-sectional area $A$, and made up of a material with Young's modulus $E$, is subjected to axial tensile force as shown in the figures. When the bar is subjected to axial tensile forces $P_1$ and $P_2$, the strain energies stored ... the correct relationship is $U = U_1 + U_2$ $U = U_1 - U_2$ $U < U_1 + U_2$ $U > U_1 + U_2$

A prismatic linearly elastic bar of length $L$, cross-sectional area $A$, and made up of a material with Young’s modulus $E$, is subjected to axial tensile force as sho...

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go_editor asked Feb 13, 2020

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GATE2020 CE-2-29
The planar structure $RST$ shown in the figure is roller-supported at $S$ and pin-supported at $R.$ Members $RS$ and $ST$ have uniform flexural rigidity $(EI)$ and $S$ is a rigid joint. Consider only bending deformation and neglect effects of self-weight and axial stiffening. When the ... $R,$ is $\dfrac{PL^3}{12EI}$ $\dfrac{PL^2}{12EI}$ $\dfrac{PL^2}{6EI}$ $\dfrac{PL}{6EI}$

The planar structure $RST$ shown in the figure is roller-supported at $S$ and pin-supported at $R.$ Members $RS$ and $ST$ have uniform flexural rigidity $(EI)$ and $S$ is...

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13

GATE2017 CE-2-16
In a material under a state of plane strain, a $10 \times 10$ mm square centered at a point gets deformed as shown in the figure. If the shear strain $\gamma_{xy}$ at this point is expressed as $0.001k$ (in rad), the value of $k$ is $0.50$ $0.25$ $- 0.25$ $- 0.50$

In a material under a state of plane strain, a $10 \times 10$ mm square centered at a point gets deformed as shown in the figure.If the shear strain $\gamma_{xy}$ at this...

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14

GATE2017 CE-2-39
A hallow circular shaft has an outer diameter of $100 $ mm and inner diameter of $50 $ mm. If the allowable shear stress is $125$ MPa, the maximum torque (in kN-m) that the shaft can resist is _______

A hallow circular shaft has an outer diameter of $100 $ mm and inner diameter of $50 $ mm. If the allowable shear stress is $125$ MPa, the maximum torque (in kN-m) that t...

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gatecse asked Aug 7, 2019

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15

GATE2019 CE-1: 6
An element is subjected to biaxial normal tensile strains of $0.0030$ and $0.0020$. The normal strain in the plane of maximum shear strain is Zero $0.0010$ $0.0025$ $0.0050$

An element is subjected to biaxial normal tensile strains of $0.0030$ and $0.0020$. The normal strain in the plane of maximum shear strain isZero$0.0010$$0.0025$$0.0050$

Arjun

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Arjun asked Feb 14, 2019

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16

GATE2019 CE-1: 8
Assuming that there is no possibility of shear buckling in the web, the maximum reduction permitted by $\text{IS 800-2007}$ in the (low-shear) design bending strength of a semi-compact steel section due to high shear is zero $\text{25 %}$ $\text{50 %}$ governed bye the area of the flange

Assuming that there is no possibility of shear buckling in the web, the maximum reduction permitted by $\text{IS 800-2007}$ in the (low-shear) design bending strength of ...

Arjun

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17

GATE2019 CE-1: 31
The cross-section of a built-up wooden beam as shown in the figure (not drawn to scale) is subjected to a vertical shear force of $8 \: kN$. The beam is symmetrical about the neural axis (N.A.) shown, and the moment of inertia about N.A. is $1.5 \times 10^9 \: mm^4$. ... , each of the nails at P will be subjected to the shear force of $60 \: N$ $120 \: N$ $240 \: N$ $480 \: N$

The cross-section of a built-up wooden beam as shown in the figure (not drawn to scale) is subjected to a vertical shear force of $8 \: kN$. The beam is symmetrical about...

Arjun

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18

GATE2019 CE-2: 5
A closed thin-walled tube has thickness, $t$, mean enclosed area within the boundary of the centerline of tube’s thickness, $A_m$, and shear stress, $\tau$. Torsional moment of resistance, $T$, of the section would be $0.5 \tau A_m t$ $\tau A_m t$ $2 \tau A_m t$ $4 \tau A_m t$

A closed thin-walled tube has thickness, $t$, mean enclosed area within the boundary of the centerline of tube’s thickness, $A_m$, and shear stress, $\tau$. Torsional m...

Arjun

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Arjun asked Feb 12, 2019

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19

GATE2019 CE-2: 8
For a channel section subjected to a downward vertical shear force at its centroid, which one of the following represents the correct distribution of shear stress in flange and web?

For a channel section subjected to a downward vertical shear force at its centroid, which one of the following represents the correct distribution of shear stress in flan...

Arjun

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20

GATE2019 CE-2: 29
For a plane stress problem, the state of stress at a point P is represented by the stress element as shown in figure. By how much angle $( \theta)$ in degrees the stress element should be rotated in order to get the planes of maximum shear stress? $13.3$ $26.6$ $31.7$ $48.3$

For a plane stress problem, the state of stress at a point P is represented by the stress element as shown in figure.By how much angle $( \theta)$ in degrees the stress e...

Arjun

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21

GATE2019 CE-2: 36
A long uniformly distributed load of $10 \: kN/m$ and a concentrated load of $60 \: kN$ are moving together on the beam ABCD shown in the figure (not drawn to scale). The relative positions of the two loads are not fixed. The maximum shear force (in $kN$, round off to the nearest integer) caused at the internal hinge B due to the two loads is _________

A long uniformly distributed load of $10 \: kN/m$ and a concentrated load of $60 \: kN$ are moving together on the beam ABCD shown in the figure (not drawn to scale). The...

Arjun

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22

GATE2019 CE-2: 39
When a specimen of $M25$ concrete is loaded to a stress level of $12.5 \: MPa$, a strain of $500 \times 10^{-6}$ is recorded. If this load is allowed to stand for a long time, the strain increases to $1000 \times 10^{-6}$. In ... with the provisions of $IS:456-2000$, considering the long-term effects, the effective modulus of elasticity of the concrete (in $MPa$) is _________

When a specimen of $M25$ concrete is loaded to a stress level of $12.5 \: MPa$, a strain of $500 \times 10^{-6}$ is recorded. If this load is allowed to stand for a long ...

Arjun

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23

GATE2017 CE-1: 5
A simply supported beam is subjected to a uniformly distributed load. Which one of the following statements is true? Maximum or minimum shear force occurs where the curvature is zero Maximum or minimum bending moment occurs where the shear force is ... minimum bending moment occurs where the curvature is zero Maximum bending moment and maximum shear force occur at the same section

A simply supported beam is subjected to a uniformly distributed load. Which one of the following statements is true?Maximum or minimum shear force occurs where the curvat...