The GATE 2026 Civil Engineering (CE) Slot 2 Question Paper with Solution PDF is provided here. The GATE CE exam was scheduled for February 14, 2026, in the Afternoon Session (AN) from 2:30 PM to 5:30 PM.
Based on the analysis of previous years’ question papers, the CE question paper is expected to be moderate to difficult. Candidates who attempt 55 to 65 questions with around 85–90% accuracy are considered to be in a safe position. Scoring between 60–70 marks out of 100 is generally viewed as a strong result, helping students secure admissions to top IITs or recruitment at major PSUs like NHAI, IOCL, and DMRC.
GATE 2026 Civil Engineering (CE) Slot 2 Question Paper with Solution PDF
| GATE 2026 Civil Engineering (CE) Slot 2 Question Paper with Solution PDF | Download | Check Solutions |
A portal frame has a span of 4 m (2 m + 2 m) and a height of 3 m. The left base is hinged and the right base is roller supported. A horizontal load of 50 kN acts at the top left joint. A vertical concentrated load of 90 kN acts at the midspan of the top beam. Determine the absolute value of the maximum bending moment in the frame.
A bridge has an expected design life of 50 years. It is designed for a flood discharge of 1000 m\(^3\)/s, which corresponds to a return period of 100 years. Determine the risk (probability) that the design flood will be equalled or exceeded at least once during the design life of the bridge. (Enter the numerical value of risk in decimal form, correct up to three decimal places.)
A portal frame has a span of 4 m (2 m + 2 m) and a height of 3 m. The left base is hinged and the right base is roller supported. A horizontal load of 50 kN acts at the top left joint. A vertical concentrated load of 90 kN acts at the midspan of the top beam. Determine the absolute value of the maximum bending moment in the frame.
A bridge has an expected design life of 50 years. It is designed for a flood discharge of 1000 m\(^3\)/s, which corresponds to a return period of 100 years. Determine the risk (probability) that the design flood will be equalled or exceeded at least once during the design life of the bridge. (Enter the numerical value of risk in decimal form, correct up to three decimal places.)
A rectangular catchment ABCD has an area of 7 hectares. The times of concentration from the four extreme points A, B, C and D to the outlet are 10, 20, 15 and 25 minutes, respectively. The rainfall intensity-duration relationship is given by \(I = \frac{25}{t+20}\), where I = rainfall intensity in cm/hr and t = time of concentration in minutes. The runoff coefficient of the catchment is 0.4. Determine the peak discharge from the catchment. (Enter the numerical value only in m\(^3\)/s.)
Long-term deformation of a material under sustained constant loading is primarily governed by:
In a reinforced concrete slab, 10 mm diameter bars are provided at a centre-to-centre spacing of 150 mm to resist a given design moment. If instead of 10 mm bars, 12 mm diameter bars of the same grade of steel are used, determine the required centre-to-centre spacing (in mm) so that the slab resists the same design moment. (Assume effective depth and other parameters remain unchanged. Enter the numerical value only in mm.)
Which of the following methods are used to check whether the flexural stresses in a prestressed concrete beam remain within permissible limits at transfer and final stages? Select all the correct option(s).
Let \( P = \begin{pmatrix} 1 & 0 & 1
0 & 1 & 0
1 & 0 & 1 \end{pmatrix} \). Which of the following statements is/are correct?
1. P\(^T\)P = I
2. P is skew-symmetric
3. The value of each eigenvalue of P is 1
4. The trace of P is equal to the sum of its eigenvalues
Consider the differential equation \( x^2 \frac{d^2y}{dx^2} = 6y \). The general solution of the above equation is
Consider the function \(f(x) = e^{-x} - x\). Using the Newton-Raphson method, obtain the first improved approximation starting from the initial guess \(x_0 = 0.5\). Enter the value of the second approximation, correct to two decimal places.
\( (y + 3x - 13)^3 + (x + y - 7)^2 = 0 \) where x and y are integers. The value of \(x^3 + y^3\) is _____.
Consider the homogeneous system of linear equations: \( \begin{pmatrix} 1 & 1 & 1
1 & 0 & 2 \end{pmatrix} \begin{pmatrix} x_1
x_2
x_3 \end{pmatrix} = \begin{pmatrix} 0
0 \end{pmatrix} \). What does the solution set of this system represent geometrically?
A function f(x) is defined on the interval with values in R. It satisfies \( \int_0^2 f(x)[x-f(x)]dx = \frac{2}{3} \). Find the value of f(1).
Bag-I contains 4 white and 6 black balls, Bag-II contains 4 white and 3 black balls. A ball is selected at random and it comes out to be a black ball. What is the probability that it is from Bag-I?
Consider the matrix \( A = \begin{pmatrix} 9 & 15
15 & 50 \end{pmatrix} \). The matrix A is decomposed using Cholesky decomposition. Determine the value of \(l_{22}\).
Given the following data: x: (-2, 1, 2), y: (28, 4, 16). Let \(P_2(x)\) be the quadratic interpolating polynomial passing through the above three points. Find the value of \(P_2(0)\).
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