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Recent questions tagged engineering-mechanics
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1
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 $\dfrac{k}{m} \\$ $\sqrt{ \dfrac{k}{m}} \\$ $\dfrac{m}{k}\\$ $\sqrt{ \dfrac{m}{k}}$
Arjun
asked
in
Engineering Mechanics
Feb 14, 2019
by
Arjun
11.6k
points
gate2019-ce-1
engineering
engineering-mechanics
0
votes
0
answers
2
GATE2016-2-6
The kinematic indeterminacy of the plane truss shown in the figure is $11$ $8$ $3$ $0$
Milicevic3306
asked
in
Engineering Mechanics
Mar 28, 2018
by
Milicevic3306
11.9k
points
gate2016-ce-2
engineering-mechanics
structural-engineering
kinematics
truss
0
votes
0
answers
3
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 $\dfrac{3P}{\sqrt{2}} \\$ $\dfrac{P}{\sqrt{2}} \\$ $\dfrac{3P}{8} \\$ $\sqrt{2}P$
Milicevic3306
asked
in
Engineering Mechanics
Mar 28, 2018
by
Milicevic3306
11.9k
points
gate2016-ce-2
engineering-mechanics
structural-engineering
rigid-body
magnitude-of-tension
0
votes
0
answers
4
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
Milicevic3306
asked
in
Engineering Mechanics
Mar 28, 2018
by
Milicevic3306
11.9k
points
gate2016-ce-2
stress-state
structural-engineering
engineering-mechanics
0
votes
0
answers
5
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 $=0.0417 \: m$
Milicevic3306
asked
in
Engineering Mechanics
Mar 28, 2018
by
Milicevic3306
11.9k
points
gate2016-ce-2
structural-engineering
engineering-mechanics
internal-forces-in-structures
0
votes
0
answers
6
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 ... $R_{Av}=P; \: R_{Bh} = \dfrac{1.5}{8}P; \text{ and } R_{Ah} = \dfrac{1.5}{8} P$
Milicevic3306
asked
in
Engineering Mechanics
Mar 28, 2018
by
Milicevic3306
11.9k
points
gate2016-ce-1
engineering-mechanics
structural-engineering
rigid-bodies
0
votes
0
answers
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 $\sigma$ $2 \: \sigma$ $0.5 \: \sigma$ $0.25 \: \alpha \: \sigma$
Milicevic3306
asked
in
Engineering Mechanics
Mar 26, 2018
by
Milicevic3306
11.9k
points
gate2017-ce-1
structural-engineering
axial-stress
engineering-mechanics
0
votes
0
answers
8
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 ________
Milicevic3306
asked
in
Engineering Mechanics
Mar 26, 2018
by
Milicevic3306
11.9k
points
gate2017-ce-1
numerical-answers
engineering-mechanics
structural-engineering
euler's-equation
0
votes
0
answers
9
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 _______.
Milicevic3306
asked
in
Engineering Mechanics
Mar 26, 2018
by
Milicevic3306
11.9k
points
gate2017-ce-1
numerical-answers
structural-engineering
engineering-mechanics
internal-forces-in-structures
0
votes
0
answers
10
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: $\dfrac{PL}{4k} \\$ $\dfrac{PL}{2k} \\$ $\dfrac{P}{4k} \\$ $\dfrac{Pk}{4L}$
Milicevic3306
asked
in
Engineering Mechanics
Mar 26, 2018
by
Milicevic3306
11.9k
points
gate2015-ce-2
engineering-mechanics
structural-engineering
stiffness
rigid-body
0
votes
0
answers
11
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 $\theta=-1.414^{\circ}$
Milicevic3306
asked
in
Engineering Mechanics
Mar 26, 2018
by
Milicevic3306
11.9k
points
gate2014-ce-1
structural-engineering
engineering-mechanics
system-of-forces
coplanar
0
votes
0
answers
12
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 $y=\dfrac{1}{P} \bigg( 1- a \cos \dfrac{2 \pi x}{L} \bigg) \\$ ... $y= a \sin \dfrac{n \pi x}{L} \\$ $y= a \cos \dfrac{n \pi x}{L}$
Milicevic3306
asked
in
Engineering Mechanics
Mar 26, 2018
by
Milicevic3306
11.9k
points
gate2014-ce-1
engineering-mechanics
structural-engineering
equilibrium
0
votes
0
answers
13
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 $P=\dfrac{2M_p}{L} \\$ $P=\dfrac{4M_p}{L} \\$ $P=\dfrac{6M_p}{L}\\$ $P=\dfrac{8M_p}{L}$
Milicevic3306
asked
in
Engineering Mechanics
Mar 26, 2018
by
Milicevic3306
11.9k
points
gate2014-ce-1
engineering-mechanics
structural-engineering
kinematic-approach
0
votes
0
answers
14
GATE Civil 2012 | Question: 4
The Poisson's ratio is defined as $\begin{vmatrix} \dfrac{\text{axial stress}}{\text{lateral stress}} \end{vmatrix} \\$ $\begin{vmatrix} \dfrac{\text{lateral strain}}{\text{axial strain}} \end{vmatrix} \\$ ... $\begin{vmatrix} \dfrac{\text{axial strain}}{\text{lateral strain}} \end{vmatrix}$
Milicevic3306
asked
in
Engineering Mechanics
Mar 25, 2018
by
Milicevic3306
11.9k
points
gate2012-ce
engineering-mechanics
structural-engineering
axial-stress
lateral-stress
0
votes
0
answers
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
gatecse
asked
in
Engineering Mechanics
Feb 17, 2018
by
gatecse
4.0k
points
gate2018-ce-2
rigid-bodies
engineering-mechanics
structural-engineering
0
votes
0
answers
16
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
gatecse
asked
in
Engineering Mechanics
Feb 17, 2018
by
gatecse
4.0k
points
gate2018-ce-1
structural-engineering
engineering-mechanics
friction
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