2025
GATE CE 2025 Set 2GATE CE 2025 Set 12024
GATE CE 2024 Set 2GATE CE 2024 Set 12023
GATE CE 2023 Set 2GATE CE 2023 Set 12022
GATE CE 2022 Set 2GATE CE 2022 Set 12018
GATE CE 2018 Set 2GATE CE 2018 Set 12017
GATE CE 2017 Set 2GATE CE 2017 Set 12016
GATE CE 2016 Set 2GATE CE 2016 Set 12015
GATE CE 2015 Set 1GATE CE 2015 Set 22014
GATE CE 2014 Set 2GATE CE 2014 Set 12013
GATE CE 20132012
GATE CE 20122011
GATE CE 20112010
GATE CE 20102009
GATE CE 20092008
GATE CE 20082007
GATE CE 20072006
GATE CE 20062005
GATE CE 20052004
GATE CE 20042003
GATE CE 20032002
GATE CE 20022001
GATE CE 20012000
GATE CE 20001999
GATE CE 19991998
GATE CE 19981997
GATE CE 19971996
GATE CE 19961995
GATE CE 19951994
GATE CE 19941993
GATE CE 19931992
GATE CE 19921991
GATE CE 19911990
GATE CE 19901989
GATE CE 19891988
GATE CE 19881987
GATE CE 1987GATE CE 2016 Set 1
Paper was held on Thu, Jan 1, 1970 12:00 AM
1
The Optimistic Time (O), most likely Time (M) and Pessimistic Time (P) (in days) of
the activities in the critical path are given below in the format O-M-P.
The expected completion time (in days) of the project is _______.

2
The compound which is largely responsible for initial setting and early strength gain of
Ordinary Portland Cement is
3
Bull's trench kiln is used in the manufacturing of
4
The solution of the partial differential equation $${{\partial u} \over {\partial t}} = \alpha {{{\partial ^2}u} \over {\partial {x^2}}}$$ is of the form
5
Newton-Raphson method is to be used to find root of equation $$\,3x - {e^x} + \sin \,x = 0.\,\,$$ If the initial trial value for the root is taken as $$0.333,$$ the next approximation for the root would be _________ (note: answer up to three decimal)
6
The type of partial differential equation $${{{\partial ^2}p} \over {\partial {x^2}}} + {{{\partial ^2}p} \over {\partial {y^2}}} + 3{{{\partial ^2}p} \over {\partial x\partial y}} + 2{{\partial p} \over {\partial x}} - {{\partial p} \over {\partial y}} = 0$$ is
7
Type $${\rm I}{\rm I}$$ error in hypothesis testing is
8
If the entries in each column of a square matrix $$M$$ add up to $$1$$, then an eigenvalue of $$M$$ is
9
The magnitudes of vectors P, Q and R are 100 kN, 250 kN and 150 kN, respectively as
shown in the figure.
The respective values of the magnitude (in kN) and the direction (with respect to the x-axis)
of the resultant vector are

10
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 P acts at C as shown. Let RAh
and RBh be the horizontal reactions at supports A and B, respectively, and RAv be the
vertical reaction at support A. Self- weight of the member may be ignored.
Which one of the following sets gives the correct magnitudes of RAv, RBh and RAh ?

11
Effluent from an industry 'A' has a pH of 4.2. The effluent from another industry 'B'
has double the hydroxyl (OH-)
ion concentration than the effluent from industry 'A'. pH
of effluent from the industry 'B' will be _______.
12
A sector gate is provided on a spillway as shown in the figure. Assuming g = 10 m/s2, the resultant
force per meter length (expressed in kN/m) on the gate will be __________


13
The porosity (n) and the degree of saturation (S) of a soil sample are 0.7 and 40%,
respectively. In a 100 $$m^3$$ volume of the soil, the volume (expressed in $$m^3$$) of air is _____.
14
A concrete gravity dam section is shown in the figure. Assuming unit weight of water
as 10$$kN/m^3$$ and unit weight of concrete as 24$$kN/m^3$$, the uplift force per unit length of
the dam (expressed in kN/m) at PQ is____.


15
For $$M25$$ concrete with creep coefficient of $$1.5,$$ the long-term static modulus of elasticity (expressed in $$MPa$$) as per provisions of $$IS:$$ $$456-2000$$ is ______________
16
In shear design of an $$RC$$ beam, other than the allowable shear strength of concrete $$\left( {{\tau _c}} \right),$$there is also an additional check suggested in $$IS$$ $$456$$-$$2000$$ with respect to the maximum permissible shear stress $$\left( {{\tau _{c\,\,\max }}} \right).$$ The check for $${{\tau _{c\,\,\max }}}$$ is required to take care of
17
A reinforced concrete $$(RC)$$ beam with width of $$250$$ $$mm$$ and effective depth of $$400$$ $$mm$$ is reinforced with $$Fe415$$ steel. As per the provisions of $$IS$$ $$456$$ - $$2000,$$ the minimum and maximum amount of tensile reinforcement (expressed in $$m{m^2}$$ ) for the section are, respectively
18
The semi-compact section of a laterally unsupported steel beam has an elastic section modulus, plastic section modulus and design bending compressive stress of $$500\,\,c{m^3},\,\,650\,\,c{m^3}$$ and $$200$$ $$MPa,$$ respectively. The design flexural capacity (expressed in $$kNm$$) of the section is ___________________
19
Two plates are connected by fillet welds of size $$10$$ $$mm$$ and subjected to tension, as shown in the sketch. The thickness of each plate is $$12$$ $$mm.$$ The yield stress and the ultimate tensile stress of steel are $$250$$ $$MPa$$ and $$410$$ $$MPa,$$ respectively. The welding is done in the workshop $$\left( {{\gamma _{mw}} = 1.25} \right).$$

As per the Limit State Method of $$IS$$ $$800:2007,$$ the minimum length (rounded off to the nearest higher multiple of $$5$$ $$mm$$) of each weld to transmit a force $$P$$ equal to $$270$$ $$kN$$ (factored) is
20
A $$3$$ $$m$$ long simply supported beam of uniform cross section is subjected to a uniformly distributed load of $$w = 20$$ $$kN/m$$ in the central $$1$$ $$m$$ as shown in the figure.

If the flexural rrigidity $$(EI)$$ of the beam is $$30 \times {10^6}\,\,N$$ - $${m^2},$$ the maximum slope (expressed in radians) of the deformed beam is
21
Consider the plane truss with load $$P$$ as shown in the figure. Let the horizontal and vertical reactions at the joint $$B$$ be $$HB$$ and $${V_B},$$ respectively and $${V_C}$$ be the vertical reaction at the joint $$C.$$

Which one of the following sets gives the correct values of $${V_B},\,\,{H_B}$$ and $${V_C}$$?
22
A plane truss with applied loads is shown in the figure.

The members which do not carry any force are
23
A propped cantilever of span $$L$$ carries a vertical concentrated load at the mid-span. If the plastic moment capacity of the section is $${M_P}$$, the magnitude of the collapse load is
24
Two beams $$PQ$$ (fixed at $$P$$ and with a roller support at $$Q,$$ as shown in Figure $$I,$$ which allows vertical movement) and $$XZ$$ (with a hinge at $$Y$$) are shown in the Figures $$I$$ and $$II$$ respectively. The spans of $$PQ$$ and $$XZ$$ are L and $$2L$$ respectively. Both the beams are under the action of uniformly distributed load $$(W)$$ and have the same flexural stiffness, $$EI$$ (where, $$E$$ and $$I$$ respectively denote modulus of elasticity and moment of inertia about axis of bending). Let the maximum deflection and maximum rotation be $${\delta _{\max 1}}$$ and $${\theta _{\max 1}},$$ respectively, in the case of beam $$PQ$$ and the corresponding quantities for the beam $$XZ$$ be $${\delta _{\max 2}}$$ and $${\theta _{\max 2}},$$ respectively.


Which one of the following relationships is true?