Recent questions tagged solid-mechanics

0 votes

0 answers

1

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 $U = U_1 + U_2$ $U = U_1 - U_2$ $U < U_1 + U_2$ $U > U_1 + U_2$

go_editor asked in Solid Mechanics Feb 13, 2020

by go_editor

5.3k points

0 votes

0 answers

2

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 $\dfrac{PL^3}{12EI}$ $\dfrac{PL^2}{12EI}$ $\dfrac{PL^2}{6EI}$ $\dfrac{PL}{6EI}$

go_editor asked in Solid Mechanics Feb 13, 2020

by go_editor

5.3k points

0 votes

0 answers

3

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 $0.50$ $0.25$ $- 0.25$ $- 0.50$

gatecse asked in Solid Mechanics Aug 7, 2019

by gatecse

4.0k points

0 votes

0 answers

4

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 _______

gatecse asked in Solid Mechanics Aug 7, 2019

by gatecse

4.0k points

1 vote

0 answers

5

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 $0.0010$ $0.0025$ $0.0050$

Arjun asked in Solid Mechanics Feb 14, 2019

by Arjun

11.6k points

0 votes

0 answers

6

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

Arjun asked in Solid Mechanics Feb 14, 2019

by Arjun

11.6k points

0 votes

0 answers

7

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 $60 \: N$ $120 \: N$ $240 \: N$ $480 \: N$

Arjun asked in Solid Mechanics Feb 14, 2019

by Arjun

11.6k points

1 vote

0 answers

8

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 $0.5 \tau A_m t$ $\tau A_m t$ $2 \tau A_m t$ $4 \tau A_m t$

Arjun asked in Solid Mechanics Feb 12, 2019

by Arjun

11.6k points

0 votes

0 answers

9

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?

Arjun asked in Solid Mechanics Feb 12, 2019

by Arjun

11.6k points

0 votes

0 answers

10

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? $13.3$ $26.6$ $31.7$ $48.3$

Arjun asked in Solid Mechanics Feb 12, 2019

by Arjun

11.6k points

0 votes

0 answers

11

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 _________

Arjun asked in Solid Mechanics Feb 12, 2019

by Arjun

11.6k points

0 votes

0 answers

12

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 _________

Arjun asked in Solid Mechanics Feb 12, 2019

by Arjun

11.6k points

0 votes

0 answers

13

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

Milicevic3306 asked in Solid Mechanics Mar 26, 2018

by Milicevic3306

11.9k points

0 votes

0 answers

14

GATE2017 CE-1: 7
The figure shows a two-hinged parabolic arch of span $L$ subjected to a uniformly distributed load of intensity $q$ per unit length. The maximum bending moment in the arch is equal to $\dfrac{qL^2}{8} \\$ $\dfrac{qL^2}{12} \\$ zero $\dfrac{qL^2}{10}$

Milicevic3306 asked in Structural Analysis Mar 26, 2018

by Milicevic3306

11.9k points

0 votes

0 answers

15

GATE2017 CE-1: 41
Consider the beam ABCD shown in the figure. For a moving concentrated load of $50$ kN on the beam, the magnitude of the maximum bending moment (in kN-m) obtained at the support C will be equal to ________.

Milicevic3306 asked in Solid Mechanics Mar 26, 2018

by Milicevic3306

11.9k points

0 votes

0 answers

16

GATE2015-2-7
For the plane stress situation shown in the figure, the maximum shear stress and the plane on which it acts are: $-50$ MPa, on a plane $45^{\circ}$ clockwise w.r.t. $x$-axis $-50$ MPa, on a plane $45^{\circ}$ anti-clockwise w.r.t. $x$-axis $50$ MPa at all orientations Zero, at all orientations

Milicevic3306 asked in Solid Mechanics Mar 26, 2018

by Milicevic3306

11.9k points

0 votes

0 answers

17

GATE2015-2-40
Stress path equation for tri-axial test upon application of deviatoric stress is, $q=10 \sqrt{3}+0.5p$. The respective values of cohesion, $c$ (in kPa) and angle of internal friction, $\phi$ are: $20$ and $20^{\circ}$ $20$ and $30^{\circ}$ $30$ and $30^{\circ}$ $30$ and $20^{\circ}$

Milicevic3306 asked in Solid Mechanics Mar 26, 2018

by Milicevic3306

11.9k points

0 votes

0 answers

18

GATE2015-1-6
Consider the singly reinforced beam shown in the figure below: At cross-section $XX$, which of the following statements is TRUE at the limit state? The variation of stress is linear and that of strain is non-linear The variation of strain is linear and that of stress is non-linear The variation of both stress and strain is linear The variation of both stress and strain is non - linear

Milicevic3306 asked in Solid Mechanics Mar 26, 2018

by Milicevic3306

11.9k points

0 votes

0 answers

19

GATE2015-1-35
A tapered circular rod of diameter varying from $20$ mm to $10$ mm is connected to another uniform circular rod of diameter $10$ mm as shown in the following figure. Both bars are made of same material with the modulus of elasticity, $E=2 \times 10^5$ MPa. When subjected to a load $P=30 \pi$ kN, the deflection at point $A$ is ______ mm.

Milicevic3306 asked in Solid Mechanics Mar 26, 2018

by Milicevic3306

11.9k points

0 votes

0 answers

20

GATE2014-2-46
A suspension of sand like particles in water with particles of diameter $0.10$ mm and below is flowing into a settling tank at $0.10 \: m^3/s$. Assume $g=9.81 \: m/s^2$, specific gravity of particles $=2.65$ ... are (in $m^2$) required for this settling tank to remove particles of size $0.06$ mm and above with $100 \%$ efficiency is ___________

Milicevic3306 asked in Solid Mechanics Mar 26, 2018

by Milicevic3306

11.9k points

0 votes

0 answers

21

GATE2014-2-30
The values of axial stress $(\sigma)$ in $kN/m^2$, bending moment $(M)$ in kNm, and shear force $(V)$ in kN acting at point P fr the arrangement shown in the figure are respectively. $1000, 75$ and $25$ $1250, 150$ and $50$ $1500, 225$ and $75$ $1750, 300$ and $100$

Milicevic3306 asked in Solid Mechanics Mar 26, 2018

by Milicevic3306

11.9k points

0 votes

0 answers

22

GATE2014-2-36
For the state of stresses (IN MPa) shown in the figure below, the maximum shear stress (in MPa) is __________

Milicevic3306 asked in Structural Engineering Mar 26, 2018

by Milicevic3306

11.9k points

0 votes

0 answers

23

GATE2014-2-6
Group I contains representative stress-strain curves as shown in the figure, while Group II gives the list of materials. Match the stress-strain curves with the corresponding materials. ... $P-3; \: Q - 1; \: R-2$ $P-3; \: Q - 2; \: R-1$

Milicevic3306 asked in Solid Mechanics Mar 26, 2018

by Milicevic3306

11.9k points

0 votes

0 answers

24

GATE2014-2-7
The first moment of area about the axis of bending for a beam cross-section is moment inertia section modulus shape factor polar moment of inertia

Milicevic3306 asked in Solid Mechanics Mar 26, 2018

by Milicevic3306

11.9k points

0 votes

0 answers

25

GATE2014-2-10
The flexural tensile strength of $M25$ grade of concrete, in $N/mm^2$, as per $IS:456-2000$ is _______

Milicevic3306 asked in Solid Mechanics Mar 26, 2018

by Milicevic3306

11.9k points

0 votes

0 answers

26

GATE2014-1-34
The tension and shear force (both in kN) in each bolt of the joint, as shown below, respectively are $30.33$ and $20.00$ $30.33$ and $25.00$ $33.33$ and $20.00$ $33.33$ and $25.00$

Milicevic3306 asked in Solid Mechanics Mar 26, 2018

by Milicevic3306

11.9k points

0 votes

0 answers

27

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

Milicevic3306 asked in Engineering Mechanics Mar 26, 2018

by Milicevic3306

11.9k points

0 votes

0 answers

28

GATE2014-1-7
The possible location of shear centre of the channel section, shown below, is $P$ $Q$ $R$ $S$

Milicevic3306 asked in Solid Mechanics Mar 26, 2018

by Milicevic3306

11.9k points

0 votes

0 answers

29

GATE2014-1-10
A steel section is subjected to a combination of shear and bending actions. The applied shear force is $V$ and the shear capacity of the section is $V_s$. For such a section, high shear force (as per $IS : 800 – 2007$) is defined as $V>0.6V_s$ $V>0.7V_s$ $V>0.8V_s$ $V>0.9V_s$

Milicevic3306 asked in Solid Mechanics Mar 26, 2018

by Milicevic3306

11.9k points

0 votes

0 answers

30

GATE Civil 2013 | Question: 26
The state of $2D$-stress at a point is given by the following matrix of stresses: $\begin{bmatrix} \sigma_{xx} & \sigma_{xy} \\ \sigma_{xy} & \sigma_{yy} \end{bmatrix} = \begin{bmatrix} 100 & 30 \\ 30 & 20 \end{bmatrix} MPa$ What is the magnitude of the maximum shear stress in MPa $50$ $75$ $100$ $110$

Milicevic3306 asked in Solid Mechanics Mar 26, 2018

by Milicevic3306

11.9k points

0 votes

0 answers

31

GATE Civil 2013 | Question: 8
The ‘plane section remains plane’ assumption in bending theory implies strain profile is linear stress profile is linear both strain and strain profiles are linear shear deformations are neglected

Milicevic3306 asked in Solid Mechanics Mar 26, 2018

by Milicevic3306

11.9k points

0 votes

0 answers

32

GATE Civil 2013 | Question: 9
Two steel columns P (length $L$ and yield strength $f_y=250$ MPa) and Q (length $2L$ and yield strength $f_y=500$ MPa) have the same cross-sections and end-conditions. The ratio of buckling load of column P to that of column Q is $0.5$ $1.0$ $2.0$ $4.0$

Milicevic3306 asked in Solid Mechanics Mar 26, 2018

by Milicevic3306

11.9k points

0 votes

0 answers

33

GATE Civil 2013 | Question: 4
Maximum possible value of Compacting Factor for fresh (green) concrete is $0.5$ $1.0$ $1.5$ $2.0$

Milicevic3306 asked in Solid Mechanics Mar 26, 2018

by Milicevic3306

11.9k points

0 votes

0 answers

34

GATE Civil 2013 | Question: 5
As per $IS \: 800:2007$, the cross-section in which the extreme fiber can reach the yield stress, but cannot develop the plastic moment of resistance due to failure by local buckling is classified as plastic section compact section semi-compact section slender section

Milicevic3306 asked in Solid Mechanics Mar 26, 2018

by Milicevic3306

11.9k points

0 votes

0 answers

35

GATE Civil 2013 | Question: 6
The creep strains are caused due to dead loads only caused due to live loads only caused due to cyclic loads only independent of loads

Milicevic3306 asked in Solid Mechanics Mar 26, 2018

by Milicevic3306

11.9k points

0 votes

0 answers

36

GATE Civil 2012 | Question: 13
As per the Indian Standard soil classification system, a sample of silty clay liquid limit of $40\%$ and plasticity index of $28\%$ is classified as CH CI CL CL-ML

Milicevic3306 asked in Solid Mechanics Mar 25, 2018

by Milicevic3306

11.9k points

0 votes

0 answers

37

GATE Civil 2012 | Question: 14
A smooth rigid retaining wall moves as shown in the sketch causing the backfill material to fail. The backfill material is homogeneous and isotrophic, and obeys the Mohr-Coulomb failure criterion. The major principal stress is parallel to the ... acting downwards normal to the wall face oblique to the wall face acting downwards oblique to the wall face acting upwards

Milicevic3306 asked in Solid Mechanics Mar 25, 2018

by Milicevic3306

11.9k points

0 votes

0 answers

38

GATE Civil 2012 | Question: 11
The effective stress friction angle of a saturated, cohesionless soil is $38^{\circ}$. The ratio of shear stress to normal effective stress on the failure plane is $0.781$ $0.616$ $0.488$ $0.438$

Milicevic3306 asked in Solid Mechanics Mar 25, 2018

by Milicevic3306

11.9k points

0 votes

0 answers

39

GATE Civil 2012 | Question: 12
Two series of compaction tests were performed in the laboratory on an inorganic clayey soil employing two different levels of compaction energy per unit volume of soil. With regards to the above tests, the following two statements are made. The optimum moisture content ... statements is Only I is TRUE Only II is TRUE Both I and II are TRUE Neither I nor II is TRUE

Milicevic3306 asked in Solid Mechanics Mar 25, 2018

by Milicevic3306

11.9k points

0 votes

0 answers

40

GATE Civil 2012 | Question: 10
The ratio of the theoretical critical buckling load for a column with fixed ends to that of another column with the same dimensions and material, but with pinned ends, is equal to $0.5$ $1.0$ $2.0$ $4.0$

Milicevic3306 asked in Solid Mechanics Mar 25, 2018

by Milicevic3306

11.9k points