Civil Engineering
2025 · Paper 1
Take it one question at a time. Try an answer, then check your understanding.
Complete GATE CE 2025 Paper 1 overview, original pages and practice · Timed previous-paper practice
Questions 49–51 of 65. Imported answers require review unless explicitly marked reviewed.
Question 49
Open questionCENAT2 marksNeeds review
Consider the differential equation given below. Using the Euler method with the step size (
) of 0.5, the value of
at
is equal to __________ (rounded off to 1 decimal place).Log in to check the answer
You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 50
Open questionCENAT2 marksNeeds review
For the beam and loading shown in the figure, the second derivative of the deflection curve for the beam at the mid-point of AC is given by
. The value of
is ____________________ (rounded off to the nearest integer). 
Log in to check the answer
You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 51
Open questionCENAT2 marksNeeds review
Consider the rigid bar ABC supported by the pin-jointed links BD and CE and subjected to a load P at the end A, as shown in the figure. The axial rigidities of BD and CE are 22500 kN and 15000 kN, respectively. If CE elongates by 5 mm due to the load P, the magnitude of the downward deflection (in mm) of the end A would be _____________ (rounded off to the nearest integer).

Log in to check the answer
You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer