GATE CE 2023 Paper 2 — page 19

Questions 55–57 of 65. Imported answers require review unless explicitly marked reviewed.

Consider the singly reinforced section of a cantilever concrete beam under bending, as shown in the figure (M25 grade concrete, Fe415 grade steel). The stress block parameters for the section at the ultimate limit state, as per IS 456: 2000 notations, are given. The ultimate moment of resistance for the section by the Limit State Method is __________ kN.m (round off to one decimal place).

[Note: Here,

is the total area of tension steel bars,

is the width of the section,

is the effective depth of the bars,

is the characteristic compressive cube strength of concrete,

is the yield stress of steel, and

is the depth of neutral axis.]

Diagram for Civil Engineering question 55

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A 2D thin plate with modulus of elasticity,

N/m

, and Poisson’s ratio,

, is in plane stress condition. The displacement field in the plate is given by

and

, where

and

are displacements (in m) along the

and

directions, respectively, and

is a constant (in m

). The distances x and y along

and

, respectively, are in m. The stress in the

direction is

N/m

, and the shear stress is

N/m

. What is the value of

(in N/m

, in integer)? ____________

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An idealised frame supports a load as shown in the figure. The horizontal component of the force transferred from the horizontal member PQ to the vertical member RS at P is ______ N (round off to one decimal place).

Diagram for Civil Engineering question 57

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2023 · Paper 2

Question 55

Question 56

Question 57