Recent activity in Engineering Mechanics / GO Civil

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GATE2014-1-27
A box of weight $100$ kN shown in the figure is to be lifted without swinging. If all forces are coplanar, the magnitude and direction $( \theta)$ of the force $(F)$ with respect to $x$-axis should be $F=56.389$ kN and $\theta=28.28^{\circ}$ $F=-56.389$ kN and $\theta=-28.28^{\circ}$ $F=9.055$ kN and $\theta=1.414^{\circ}$ $F=-9.055$ kN and $\theta=-1.414^{\circ}$

A box of weight $100$ kN shown in the figure is to be lifted without swinging. If all forces are coplanar, the magnitude and direction $( \theta)$ of the force $(F)$ with...

Chandanachandu

100 points

Chandanachandu recategorized May 30, 2021

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2

GATE2014-1-30
Mathematical idealization of a crane has three bars with their vertices arranged as shown in the figure with a load of $80$ kN hanging vertically. The coordinates of the vertices are given in parentheses. The force in the member $QR$, $F_{QR}$ will be $30$ kN Compressive $30$ kN Tensile $50$ Compressive $50$ kN Tensile

Mathematical idealization of a crane has three bars with their vertices arranged as shown in the figure with a load of $80$ kN hanging vertically. The coordinates of the ...

Chandanachandu

100 points

Chandanachandu recategorized May 29, 2021

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3

GATE2014-2-33
Considering the symmetric of a rigid frame as shown below, the magnitude of the bending moment (in kNm) at P (preferably using the moment distribution method) is $170$ $172$ $176$ $178$

Considering the symmetric of a rigid frame as shown below, the magnitude of the bending moment (in kNm) at P (preferably using the moment distribution method) is$170$$172...

Chandanachandu

100 points

Chandanachandu edited May 29, 2021

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4

GATE Civil 2012 | Question: 4
The Poisson's ratio is defined as $\begin{vmatrix} \dfrac{\text{axial stress}}{\text{lateral stress}} \end{vmatrix} \\$ $\begin{vmatrix} \dfrac{\text{lateral strain}}{\text{axial strain}} \end{vmatrix} \\$ ... $\begin{vmatrix} \dfrac{\text{axial strain}}{\text{lateral strain}} \end{vmatrix}$

The Poisson’s ratio is defined as$\begin{vmatrix} \dfrac{\text{axial stress}}{\text{lateral stress}} \end{vmatrix} \\$$\begin{vmatrix} \dfrac{\text{lateral strain}}{\te...

Chandanachandu

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Chandanachandu retagged May 29, 2021

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5

GATE2016-2-32
For the stress state (in MPa) shown in the figure, the major principal stress is $10$ MPa. The shear stress $\tau$ is $10.0$ MPa $5.0$ MPa $2.5$ MPa $0.0$ MPa

For the stress state (in MPa) shown in the figure, the major principal stress is $10$ MPa.The shear stress $\tau$ is$10.0$ MPa$5.0$ MPa$2.5$ MPa$0.0$ MPa

Chandanachandu

100 points

Chandanachandu recategorized May 27, 2021

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6

GATE2016-2-34
Consider the structural system shown in the figure under the action of weight $W$. All the joints are hinged. The properties of the members in terms of length ($L$), area ($A$) and the modulus of elasticity ($E$) are also given in the figure. Let $L$, $A$ and $E$ ... $=0.0417 \: m$ Compressive force $=100 \: kN$; Stress $=1000 \; kN/m^2$; Extension $=0.0417 \: m$

Consider the structural system shown in the figure under the action of weight $W$. All the joints are hinged. The properties of the members in terms of length ($L$), area...

Chandanachandu

100 points

Chandanachandu recategorized May 27, 2021

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7

GATE2017 CE-1: 4
An elastic bar of length $L$, uniform cross sectional area $A$, coefficient of thermal expansion $\alpha$, and Young's modulus $E$ is fixed at the two ends. The temperature of the bar is increased by $T$, resulting in an axial stress $\sigma$. Keeping all other parameters unchanged ... , the axial stress would be $\sigma$ $2 \: \sigma$ $0.5 \: \sigma$ $0.25 \: \alpha \: \sigma$

An elastic bar of length $L$, uniform cross sectional area $A$, coefficient of thermal expansion $\alpha$, and Young’s modulus $E$ is fixed at the two ends. The tempera...

Chandanachandu

100 points

Chandanachandu recategorized May 25, 2021

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8

GATE2017 CE-1: 44
A particle of mass $2$ kg is travelling at a velocity of $1.5$ m/s. A force $f(t) = 3t^2$ (in N) is applied to it in the direction of motion for a duration of $2$ seconds, where $t$ denotes time in seconds. The velocity (in m/s, up to one decimal place) of the particle immediately after the removal of the force is _______.

A particle of mass $2$ kg is travelling at a velocity of $1.5$ m/s. A force $f(t) = 3t^2$ (in N) is applied to it in the direction of motion for a duration of $2$ seconds...

Chandanachandu

100 points

Chandanachandu retagged May 25, 2021

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9

GATE2018 CE-1: 28
A cylinder of radius $250$ mm and weight, $W=10$ kN is rolled up an obstacle of height $50$ mm by applying a horizontal force $P$ at its centre as shown in the figure. All interfaces are assumed frictionless. The minimum value of P is $4.5$ kN $5.0$ kN $6.0$ kN $7.5$ kN

A cylinder of radius $250$ mm and weight, $W=10$ kN is rolled up an obstacle of height $50$ mm by applying a horizontal force $P$ at its centre as shown in the figure.All...

Chandanachandu

100 points

Chandanachandu recategorized May 22, 2021

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10

GATE2020-CE-1-13
A body floating in a liquid is in a stable state of equilibrium if its metacentre lies above its centre of gravity metacentre lies below its centre of gravity metacentre coincides with its centre of gravity centre of gravity is below its centre of buoyancy

A body floating in a liquid is in a stable state of equilibrium if its metacentre lies above its centre of gravitymetacentre lies below its centre of gravitymetacentre co...

Chandanachandu

100 points

Chandanachandu edited May 8, 2021

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11

GATE2020-CE-1-29
A rigid weightless platform $\textbf{PQRS}$ shown in the figure ( not drawn to the scale) can slide freely in the vertical direction. The platform is held in position by the weightless member $\textbf{OJ}$ and four weightless, frictionless rollers. Points $\textbf{O}$ ... of horizontal component of the reaction ( in $kN$) at pin $\textbf{O}$, is $90$ $120$ $150$ $180$

A rigid weightless platform $\textbf{PQRS}$ shown in the figure ( not drawn to the scale) can slide freely in the vertical direction. The platform is held in position by ...

Chandanachandu

100 points

Chandanachandu edited May 8, 2021

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12

GATE Civil 2021 Set 1 | Question: 29
A wedge $\text{M}$ and a block $\text{N}$ are subjected to forces $\text{P}$ and $\text{Q}$ as shown in the figure. If force $\text{P}$ is sufficiently large, then the block $\text{N}$ can be raised. The weights of the wedge and the block are negligible ... $\alpha$' (rounded off to one decimal place) is $0.6$ $0.5$ $2.0$ $0.9$

A wedge $\text{M}$ and a block $\text{N}$ are subjected to forces $\text{P}$ and $\text{Q}$ as shown in the figure. If force $\text{P}$ is sufficiently large, then the bl...

Chandanachandu

100 points

Chandanachandu recategorized Apr 23, 2021

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13

GATE2019 CE-1: 3
A simple mass-spring oscillatory system consists of a mass $m$, suspended from a spring of stiffness $k$. Considering $z$ as the displacement of the system at any time $t$, the equation of motion for the free vibration of the system is $m \ddot{z} + kz = 0$. The natural frequency of the system is $\dfrac{k}{m} \\$ $\sqrt{ \dfrac{k}{m}} \\$ $\dfrac{m}{k}\\$ $\sqrt{ \dfrac{m}{k}}$

A simple mass-spring oscillatory system consists of a mass $m$, suspended from a spring of stiffness $k$. Considering $z$ as the displacement of the system at any time $t...

Lakshman Bhaiya

12.8k points

Lakshman Bhaiya retagged Mar 12, 2021

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14

GATE2016-2-45
A square plate is suspended vertically from one of its edges using a hinge support as shown in figure. A water jet of $20 \: mm$ diameter having a velocity of $10 \: m/s$ strikes the plate at its mid-point, at an angle of $30^{\circ}$ with ... neglect the self-weight of the plate. The force $F$ (expressed in $N$) required to keep the plate in its vertical position is _____________

A square plate is suspended vertically from one of its edges using a hinge support as shown in figure. A water jet of $20 \: mm$ diameter having a velocity of $10 \: m/s$...

Lakshman Bhaiya

12.8k points

Lakshman Bhaiya recategorized Mar 11, 2021

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15

GATE2018 CE-2: 29
Two rigid bodies of mass $5$ kg and $4$ kg are at rest on a frictionless surface until acted upon by a force of $36$ N as shown in the figure. The contact force generated between the two bodies is $4.0$ N $7.2$ N $9.0$ N $16.0$ N

Two rigid bodies of mass $5$ kg and $4$ kg are at rest on a frictionless surface until acted upon by a force of $36$ N as shown in the figure. The contact force generated...

soujanyareddy13

100 points

soujanyareddy13 recategorized Nov 18, 2020

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16

GATE2017 CE-1: 42
Consider two axially loaded columns, namely, $1$ and $2$, made of a linear elastic material with Young's modulus $2 \times 10^5$ MPa, square cross-section with side $10$ mm, and length $1$ m. For column $1$, one end is fixed and the other end is free ... 's theory, the ratio (up to one decimal place) of the buckling load of Column $2$ to the buckling load of Column $1$ is ________

Consider two axially loaded columns, namely, $1$ and $2$, made of a linear elastic material with Young’s modulus $2 \times 10^5$ MPa, square cross-section with side $10...

soujanyareddy13

100 points

soujanyareddy13 recategorized Nov 18, 2020

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17

GATE2016-2-6
The kinematic indeterminacy of the plane truss shown in the figure is $11$ $8$ $3$ $0$

The kinematic indeterminacy of the plane truss shown in the figure is$11$$8$$3$$0$

soujanyareddy13

100 points

soujanyareddy13 recategorized Nov 18, 2020

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18

GATE2016-2-8
An assembly made of a rigid arm $A-B-C$ hinged at end $A$ and supported by an elastic rope $C-D$ at end $C$ is shown in the figure. The members may be assumed to be weightless and the lengths of the respective members are shown in the figure. Under the action of a concentrated load $P$ at ... the rope is $\dfrac{3P}{\sqrt{2}} \\$ $\dfrac{P}{\sqrt{2}} \\$ $\dfrac{3P}{8} \\$ $\sqrt{2}P$

An assembly made of a rigid arm $A-B-C$ hinged at end $A$ and supported by an elastic rope $C-D$ at end $C$ is shown in the figure. The members may be assumed to be weigh...

soujanyareddy13

100 points

soujanyareddy13 recategorized Nov 18, 2020

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19

GATE2016-1-34
A rigid member ACB is shown in the figure. The member is supported at A and B by pinned and guided roller supports, respectively. A force $\color{Red}{P}$ acts at $C$ as shown. Let $R_{Ah}$ and $R_{Bh}$ be the horizontal reactions at supports $A$ and $B$, respectively, and $R_{Av}$ be the ... $R_{Av}=P; \: R_{Bh} = \dfrac{1.5}{8}P; \text{ and } R_{Ah} = \dfrac{1.5}{8} P$

A rigid member ACB is shown in the figure. The member is supported at A and B by pinned and guided roller supports, respectively. A force $\color{Red}{P}$ acts at $C$ as ...

soujanyareddy13

100 points

soujanyareddy13 recategorized Nov 18, 2020

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20

GATE2015-2-30
In a system, two connected rigid bars $AC$ and $BC$ are identical length, $L$ with pin supports at $A$ and $B$. The bars are interconnected at $C$ by a frictionless hinge. The rotation of the hinge is restrained by a rotational spring of stiffness, $k$. The system initially assumes a straight ... at $C$ is: $\dfrac{PL}{4k} \\$ $\dfrac{PL}{2k} \\$ $\dfrac{P}{4k} \\$ $\dfrac{Pk}{4L}$

In a system, two connected rigid bars $AC$ and $BC$ are identical length, $L$ with pin supports at $A$ and $B$. The bars are interconnected at $C$ by a frictionless hinge...

soujanyareddy13

100 points

soujanyareddy13 recategorized Nov 18, 2020

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21

GATE2014-1-26
If the following equation establishes equilibrium in slightly bent position, the mid-span deflection of a member shown in the figure is $\frac{d^2y}{dx^2}+\frac{P}{EI}y=0$ If $a$ is amplitude constant for $y,$ then $y=\dfrac{1}{P} \bigg( 1- a \cos \dfrac{2 \pi x}{L} \bigg) \\$ ... $y= a \sin \dfrac{n \pi x}{L} \\$ $y= a \cos \dfrac{n \pi x}{L}$

If the following equation establishes equilibrium in slightly bent position, the mid-span deflection of a member shown in the figure is$$\frac{d^2y}{dx^2}+\frac{P}{EI}y=0...

soujanyareddy13

100 points

soujanyareddy13 recategorized Nov 18, 2020

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22

GATE2014-1-8
The ultimate collapse load $(P)$ in terms of plastic moment $M_p$ by kinematic approach for a propped cantilever of length $L$ with $P$ acting at its mid-span as shown in the figure, would be $P=\dfrac{2M_p}{L} \\$ $P=\dfrac{4M_p}{L} \\$ $P=\dfrac{6M_p}{L}\\$ $P=\dfrac{8M_p}{L}$

The ultimate collapse load $(P)$ in terms of plastic moment $M_p$ by kinematic approach for a propped cantilever of length $L$ with $P$ acting at its mid-span as shown in...

soujanyareddy13

100 points

soujanyareddy13 recategorized Nov 18, 2020