GATE CE format:nat PYQs & Answers — Page 17

Questions 161–170 of 495. Imported answers require independent review unless marked reviewed.

Topic practice 495 questionsPage 17 of 50

The cross-section of a girder is shown in the figure (not to scale). The section is symmetric about a vertical axis (Y-Y). The moment of inertia of the section about the horizontal axis (X-X) passing through the center is ______ cm

(round off to nearest integer).

Diagram for Civil Engineering question 55

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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.]

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A soil having the average properties, bulk unit weight = 19 kN/m

; angle of internal friction = 25° and cohesion = 15 kPa, is being formed on a rock slope existing at an inclination of 35° with the horizontal. The critical height (in m) of the soil formation up to which it would be stable without any failure is ______ (round off to one decimal place).

[Assume the soil is being formed parallel to the rock beding plane and there is no ground water effect.]

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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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A smooth vertical retaining wall supporting layered soils is shown in figure. According to Rankine’s earth pressure theory, the lateral active earth pressure acting at the base of the wall is ______ kPa (round off to one decimal place).

Diagram for Civil Engineering question 57

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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).

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A vertical trench is excavated in a clayey soil deposit having a surcharge load of 30 kPa. A fluid of unit weight 12 kN/m

is poured in the trench to prevent collapse as the excavation proceeds. Assume that the fluid is not seeping through the soil deposit. If the undrained cohesion of the clay deposit is 20 kPa and saturated unit weight is 18 kN/m

, what is the maximum depth of unsupported excavation (in m, rounded off to two decimal places)?

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A square footing is to be designed to carry a column load of 500 kN which is resting on a soil stratum having the following average properties: bulk unit weight = 19 kN/m

; angle of internal friction = 0° and cohesion = 25 kPa. Considering the depth of the footing as 1 m and adopting Meyerhof’s bearing capacity theory with a factor of safety of 3, the width of the footing (in m) is __________________ (round off to one decimal place)

[Assume the applicable shape and depth factor values as unity; ground water level at greater depth.]

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A 12-hour storm occurs over a catchment and results in a direct runoff depth of 100 mm. The time-distribution of the rainfall intensity is shown in the figure (not to scale). The

-index of the storm is (in mm, rounded off to two decimal places) ____________________.

Diagram for Civil Engineering question 59

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A circular pile of diameter 0.6 m and length 8 m was constructed in a cohesive soil stratum having the following properties: bulk unit weight = 19 kN/m

; angle of internal friction = 0° and cohesion = 25 kPa.

The allowable load the pile can carry with a factor of safety of 3 is ________________ kN (round off to one decimal place).

[Adopt: Adhesion factor,

= 1.0 and Bearing capacity factor,

= 9.0]

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GATE CE format:nat PYQs

Question 55

Question 55

Question 56

Question 56

Question 57

Question 57

Question 58

Question 58

Question 59

Question 59