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41

GATE2020-CE-1-8
During the process of hydration of cement, due to increase in Dicalcium Silicate $(C_2S)$ content in cement clinker, the heat of hydration increases decreases initially decreases and then increases does not change

During the process of hydration of cement, due to increase in Dicalcium Silicate $(C_2S)$ content in cement clinker, the heat of hydrationincreasesdecreasesinitially decr...

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42

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...

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43

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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44

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 ...

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45

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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46

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).

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 co...

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47

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 ______.

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 id...

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48

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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49

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 __________

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 cr...

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50

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 ______.

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 ec...

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51

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

The ratio of the plastic moment capacity of a beam section to its yield moment capacity is termed asaspect ratioload factorshape factorslenderness ratio

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52

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

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 r...

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53

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

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$

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54

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 _______.

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\:...

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55

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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56

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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57

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 $5$ $10$ $15$ $20$

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 $N$. Contin...

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58

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 ________.

A concrete beam of span $15\: m,\ 150\: mm$ wide and $350\: mm$ deep is prestressed with a parabolic cable as shown in the figure (not drawn to the scale). Coefficient of...

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59

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 ________.

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 ...

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60

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 ________.

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 ste...

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61

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 ________.

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\...

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62

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 ________.

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 he...

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63

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 $5$ $6$ $7$ $8$

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...

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64

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 $18.42$ $21.00$ $25.00$ $31.58$

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,...

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65

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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66

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 ________

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 val...

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67

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. ... $P - 4; Q - 2; R - 4; S - 1$ $P - 1; Q - 4; R - 2; S - 3$

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 t...

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68

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 $\delta_1 = \delta_2$ $\delta_1 < \delta_2$ $\delta_1 > \delta_2$ $\delta_1 >> \delta_2$

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 $\delta_1$ an...

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69

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 ... $M_P = M_Q>M_R$ $S_P < S_Q> S_R$; $M_P = M_Q=M_R$ $S_P < S_Q< S_R$; $M_P < M_Q < M_R$

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 mome...

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70

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

Consider the following statements:Walls of one brick thick are measured in square metersWalls of one brick thick are measured in cubic metersNo deduction in the brickwork...

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71

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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72

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 __________

A simply supprted rectangular concrete beam of span $8$ m has to be prestressed with a force of $1600$ kN. The tendon is of parabolic profile having zero eccentricity at ...

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73

GATE2017 CE-2-41
Two plates od $8$ mm thickness each are connected by a fillet weld of $6$ mm thickness as shown in the figure. The permissible stresses in the plate and the weld are $150$ MPa and $110$ MPa, respectively. Assuming the length of the weld shown in the figure to be the effective length, the permissible load $P$ (in kN) is ______

Two plates od $8$ mm thickness each are connected by a fillet weld of $6$ mm thickness as shown in the figure. The permissible stresses in the plate and the weld are $150...

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74

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 ____________

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 ...

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75

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 _____

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 stee...

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76

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...

Arjun

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Arjun asked Feb 14, 2019

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77

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? $\text{FG,FI,HI,RS}$ $\text{FG,FH,HI,RS}$ $\text{FI,HI,PR,RS}$ $\text{FI,FG,RS,PR}$

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}$$\text{FG,FH,HI,RS}$$...

Arjun

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78

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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79

GATE2019 CE-1: 7
Consider the pin-jointed plane truss shown in the figure $\text{(not drawn to scale)}$.Let $R_{P}, R_{Q}$ and $R_{R}$ denote the vertical reactions (upward positive) applied by the supports at $P, Q$ and $R,$ ... by $\text{(30,-30,30)kN}$ $\text{(20,0,10)kN}$ $\text{(10,30,-10)kN}$ $\text{(0,60,-30)kN}$

Consider the pin-jointed plane truss shown in the figure $\text{(not drawn to scale)}$.Let $R_{P}, R_{Q}$ and $R_{R}$ denote the vertical reactions (upward positive) appl...

Arjun

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80

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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Arjun asked Feb 14, 2019