Recent questions and answers in Structural Engineering

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1

GATE2020-CE-1-5
Consider the planar truss shown in the figure (not drawn to the scale) Neglecting self weight of the numbers, the number of zero-force members in the truss under the action of the load $P$, is $6$ $7$ $8$ $9$

asked Feb 28, 2020 in Structural Analysis by jothee (5.2k points)

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2

GATE2020-CE-1-6
A reinforcing steel bar, partially embedded in concrete, is subjected to a tensile force $P$. The figure that appropriately represents the distribution of the magnitude of bond stress (represented as hatched region), along the embedded length of the bar, is

asked Feb 28, 2020 in Steel Structures by jothee (5.2k points)

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3

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

asked Feb 28, 2020 in Engineering Mechanics by jothee (5.2k points)

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4

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 _______.

asked Feb 28, 2020 in Solid Mechanics by jothee (5.2k points)

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5

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 $90$ $120$ $150$ $180$

asked Feb 28, 2020 in Engineering Mechanics by jothee (5.2k points)

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6

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} $

asked Feb 28, 2020 in Solid Mechanics by jothee (5.2k points)

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7

GATE2020-CE-1-31
A dowel bar is placed at a contraction joint. When contraction occurs, the concrete slab cracks at predetermined location(s). Identify the arrangement, which shows the correct placement of dowel bar and the place of occurrence of the contraction of crack(s).

asked Feb 28, 2020 in Structural Engineering by jothee (5.2k points)

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8

GATE2020-CE-1-41
A rigid, uniform, weightless, horizontal bar is connected to three vertical members P , Q and R as shown in the figure (not drawn to the scale). All three members have identical axial stiffness of $10\:kN/mm$ . The lower ends of bars $P$ and $R$ rest ... $W$ (in $kN$, round off to the nearest integer), is ______.

asked Feb 28, 2020 in Structural Engineering by jothee (5.2k points)

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9

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 ______.

asked Feb 28, 2020 in Solid Mechanics by jothee (5.2k points)

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10

GATE2020-CE-1-43
The singly reinforced concrete beam section shown in the figure (not drawn to the scale) is made of $M25$ grade concrete and $Fe500$ grade reinforcing steel. The total cross-sectional area of the tension steel is $942\:mm^2$. As per Limit State Design IS $456:2000$, the design moment capacity (in $kN.m$, round off to two decimal places) of the beam section, is __________

asked Feb 28, 2020 in Concrete Structures by jothee (5.2k points)

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11

GATE2020-CE-1-44
A simply supported prismatic concrete beam of rectangular cross-section, having a span of $8\:m$, is prestressed with an effective prestressing force of $600\:kN$. The eccentricity of the prestressing tendon is zero at supports and varies linearly to a value of $e$ at ... at the mid-span, the required value of e (in $mm$, round off to the nearest integer) of the tendon, is ______.

asked Feb 28, 2020 in Concrete Structures by jothee (5.2k points)

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12

GATE2020 CE-2-5
The ratio of the plastic moment capacity of a beam section to its yield moment capacity is termed as aspect ratio load factor shape factor slenderness ratio

asked Feb 13, 2020 in Steel Structures by jothee (5.2k points)

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13

GATE2020 CE-2-7
A weightless cantilever beam of span L is loaded as shown in the figure. For the entire span of the beam, the material properties are identical and the cross section is rectangular with constant width. From the flexure-critical perspective, the most economical longitudinal profile of the beam to carry the given loads among the options given below, is

asked Feb 13, 2020 in Structural Analysis by jothee (5.2k points)

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14

GATE2020 CE-2-8
As per $IS\:456:2000$, the $pH$ value of water for concrete mix shall NOT be less than $4.5$ $5.0$ $5.5$ $6.0$

asked Feb 13, 2020 in Construction Materials and Management by jothee (5.2k points)

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15

GATE2020 CE-2-19
The maximum applied load on a cylindrical concrete specimen of diameter $150\: mm$ and length $300\: mm$ tested as per the split tensile strength test guidelines of $IS\:5816:1999$ is $157\: kN$. The split tensile strength (in $MPa,$ round off to one decimal place) of the specimen is _______.

asked Feb 13, 2020 in Concrete Structures by jothee (5.2k points)

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16

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

asked Feb 13, 2020 in Solid Mechanics by jothee (5.2k points)

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17

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

asked Feb 13, 2020 in Solid Mechanics by jothee (5.2k points)

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18

GATE2020 CE-2-30
Joints $I,J,K,L,Q$ and $M$ of the frame shown in the figure (not drawn to the scale) are pins. Continuous members $IQ$ and $LJ$ are connected through a pin at $N$. Continuous members $JM$ and $KQ$ are connected through a pin at $P$. The frame has hinge ... positive $X$ direction. The magnitude of the horizontal component of reaction $\text{(in kN)}$ at $S,$ is $5$ $10$ $15$ $20$

asked Feb 13, 2020 in Structural Engineering by jothee (5.2k points)

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19

GATE2020 CE-2-41
A concrete beam of span $15\: m,\ 150\: mm$ wide and $350\: mm$ ... cable is tensioned from one end only, the percentage loss (round off to one decimal place) in the cable force due to friction, is ________.

asked Feb 13, 2020 in Concrete Structures by jothee (5.2k points)

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20

GATE2020 CE-2-42
The plane truss has hinge supports at $P$ and $W$ and is subjected to the horizontal forces as shown in the figure (not drawn to the scale) Representing the tensile force with $’+’$ sign and the compressive force with $’-’$ sign, the force in member $XW$ (in $kN$, round off to the nearest integer), is ________.

asked Feb 13, 2020 in Structural Analysis by jothee (5.2k points)

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21

GATE2020 CE-2-43
The cross-section of the reinforced concrete beam having an effective depth of $500\: mm$ is shown in the figure (not drawn to the scale ). The grades of concrete and steel used are $M35$ and $Fe550$, respectively. The area of tension reinforcement is ... ( in $mm,$ round off to the nearest integer ) of the neutral axis measured from the extreme compression fiber, is ________.

asked Feb 13, 2020 in Concrete Structures by jothee (5.2k points)

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22

GATE2020 CE-2-44
Two steel plates are lap jointed in a workshop using $6\ mm$ thick fillet weld as shown in the figure (not drawn to the scale). The ultimate strength of the weld is $410\: MPa.$ As per Limit State Design of $IS\: 800:2007$, the design capacity (in $kN$, round off to three decimal places) of the welded connection, is ________.

asked Feb 13, 2020 in Steel Structures by jothee (5.2k points)

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23

GATE2020 CE-2-51
A concrete dam holds $10\: m$ of static water as shown in the figure (not drawn to the scale). The uplift is assumed to vary linearly from full hydrostatic head at the heel, to zero at the toe of the dam. The coefficient of friction between the dam ... , respectively. For NO sliding condition, the required minimum base width $B$ (in $m$ round off to two decimal places) is ________.

asked Feb 13, 2020 in Concrete Structures by jothee (5.2k points)

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24

GATE2017 CE-2-3
Given that the scope of the construction work is well-defined with all its drawings, specifications, quantities and estimates, which one of the following of contract would be most preferred? EPC contract percentage rate contract Item rate contract Lump sum contract

answered Oct 12, 2019 in Construction Materials and Management by Harshavaishali (140 points)

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25

GATE2017 CE-2-6
Consider a rigid retaining wall with partially submerged cohesionless backfill with a surcharge. Which one of the following diagrams closely represents the Rankine’s active earth pressure distribution against this?

asked Aug 7, 2019 in Engineering Mechanics by gatecse (4k points)

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26

GATE2017 CE-2-14
Consider the following frame in the figure: If the axial and shear deformations in different members of the frame are assumed to be negligible, the reduction in the degree of kinematical indeterminacy would be equal to $5$ $6$ $7$ $8$

asked Aug 7, 2019 in Structural Analysis by gatecse (4k points)

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27

GATE2017 CE-2-15
Let the characteristic strength be defined as that value, below which not more than $50 \%$ of the results are expected to fall. Assuming a standard deviation of $4$ MPa, the target mean strength (in MPa) to be considered in the mix design of a $M25$ concrete would be $18.42$ $21.00$ $25.00$ $31.58$

asked Aug 7, 2019 in Construction Materials and Management by gatecse (4k points)

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28

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

asked Aug 7, 2019 in Solid Mechanics by gatecse (4k points)

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29

GATE2017 CE-2-18
For a construction project, the mean and standard deviation of the completion time are $200$ days and $6.1$ days, respectively. Assume normal distribution and use the value of standard normal deviate $z = 1.64$ for the $95 \%$ confidence level. The maximum time required (in days) for the completion of the project would be ________

asked Aug 7, 2019 in Construction Materials and Management by gatecse (4k points)

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30

GATE2017 CE-2-30
Group I gives a list of test methods and test apparatus for evaluating some of the properties of Ordinary Portland Cement (OPC) and concrete. Group II gives the list of these properties. ... $P - 4; Q - 2; R - 4; S - 1$ $P - 1; Q - 4; R - 2; S - 3$

asked Aug 7, 2019 in Structural Engineering by gatecse (4k points)

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31

GATE2017 CE-2-31
Two prismatic beams having the same flexural rigidity of $1000 \: kN-m^2$ are shown in the figures. If the mid-span deflections of these beams are denoted by $\delta_1$ and $\delta_2$ (as indicated in the figures), the correct option is $\delta_1 = \delta_2$ $\delta_1 < \delta_2$ $\delta_1 > \delta_2$ $\delta_1 >> \delta_2$

asked Aug 7, 2019 in Solid Mechanics by gatecse (4k points)

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32

GATE2017 CE-2-32
Consider the prismatic beams with the clamped supports P, Q, and R as shown in the figures. Given that eh modulus of elasticity, $E$ is $2.5 \times 10^4$ MPa; and the moment of inertia, $I$ is $8 \times 10^8 \: mm^4$, the correct comparison of the magnitudes of the ... $M_P = M_Q>M_R$ $S_P < S_Q> S_R$; $M_P = M_Q=M_R$ $S_P < S_Q< S_R$; $M_P < M_Q < M_R$

asked Aug 7, 2019 in Solid Mechanics by gatecse (4k points)

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33

GATE2017 CE-2-33
Consider the following statements: Walls of one brick thick are measured in square meters Walls of one brick thick are measured in cubic meters No deduction in the brickwork quantity is made for openings in walls up to $0.1 \: m^2$ area. For the measurement of excavation from the borrow pit ... False P - True, Q - False, R - True, S - False P - True, Q - False, R - True, S - True

asked Aug 7, 2019 in Construction Materials and Management by gatecse (4k points)

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34

GATE2017 CE-2-38
Two towers, A and B, standing vertically on a horizontal ground, appear in a vertical aerial photograph as shown in the figure. The length of the image of the tower A on the photograph is $1.5$ cm and the tower B is $2.0$ cm. The distance of the top tower A ( ... point $p$ of the photograph. If the height of the tower B is $80$ m, the height (in meters) of the tower A is ________

asked Aug 7, 2019 in Solid Mechanics by gatecse (4k points)

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35

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 _______

asked Aug 7, 2019 in Solid Mechanics by gatecse (4k points)

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36

GATE2017 CE-2-40
A simply supprted rectangular concrete beam of span $8$ m has to be prestressed with a force of $1600$ ... (in meters, up to two decimal places) of the tendon at the mid-span to balance the external load should be __________

asked Aug 7, 2019 in Concrete Structures by gatecse (4k points)

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37

GATE2017 CE-2-42
Consider the portal frame shown in the figure and assume the modulus of elasticity, $E=2.5 \times 10^4$ MPa and the moment of inertia, $I= 8 \times 10^8 \: mm^4$ for all the members of the frame. The rotation (in degrees, up to one decimal place) at the rigid joint Q would be ____________

asked Aug 7, 2019 in Structural Analysis by gatecse (4k points)

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38

GATE2017 CE-2-43
A $2$ m long, axially loaded mild steel rod of $8$ mm diameter exhibits the load-displacement $(P-\delta)$ behavior as shown in the figure. Assume the yield stress of steel as $250$ MPa. The complementary strain energy (in N-mmm) stored in the bar up to its linear elastic behavior will be _____

asked Aug 7, 2019 in Steel Structures by gatecse (4k points)

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39

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 $\dfrac{k}{m} \\$ $\sqrt{ \dfrac{k}{m}} \\$ $\dfrac{m}{k}\\$ $\sqrt{ \dfrac{m}{k}}$

asked Feb 14, 2019 in Engineering Mechanics by Arjun (8.7k points)

+1 vote

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40

GATE2019 CE-1: 5
A plane truss is shown in the figure (not drawn to scale). Which one of the options contains ONLY zero force members in the truss? $\text{FG,FI,HI,RS}$ $\text{FG,FH,HI,RS}$ $\text{FI,HI,PR,RS}$ $\text{FI,FG,RS,PR}$

asked Feb 14, 2019 in Structural Analysis by Arjun (8.7k points)