1
GATE CE 2023 Set 2
Numerical
+2
-0

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 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, As is the total area of tension steel bars, b is the width of the section, d is the effective depth of the bars, fck is the characteristic compressive cube strength of concrete, fy is the yield stress of steel, and xu is the depth of neutral axis.]

GATE CE 2023 Set 2 Reinforced Cement Concrete - Singly Reinforced Sections Question 1 English
Your input ____
2
GATE CE 2023 Set 2
MCQ (Single Correct Answer)
+2
-0.67

Two plates are connected by fillet welds of size 10 mm and subjected to tension, as shown in the figure. The thickness of each plate is 12 mm. The yield stress and the ultimate stress of steel under tension are 250 MPa and 410 MPa, respectively. The welding is done in the workshop (partial safety factor, π›Ύπ‘šπ‘€ = 1.25). As per the Limit State Method of IS 800: 2007, what is the minimum length (in mm, rounded off to the nearest higher multiple of 5 mm) required of each weld to transmit a factored force P equal to 275 kN? 

GATE CE 2023 Set 2 Steel Structures - Tension Members Question 1 English
A
100
B
105
C
110
D
115
3
GATE CE 2023 Set 2
MCQ (Single Correct Answer)
+1
-0.33

A circular solid shaft of span L = 5 m is fixed at one end and free at the other end. A torque T = 100 kN.m is applied at the free end. The shear modulus and polar moment of inertia of the section are denoted as G and J, respectively. The torsional rigidity GJ is 50,000 kN.m2 /rad. The following are reported for this shaft:

Statement i) The rotation at the free end is 0.01 rad

Statement ii) The torsional strain energy is 1.0 kN.m

With reference to the above statements, which of the following is true?

A
Both the statements are correct
B
Statement i) is correct, but Statement ii) is wrong
C
Statement i) is wrong, but Statement ii) is correct
D
Both the statements are wrong
4
GATE CE 2023 Set 2
MCQ (Single Correct Answer)
+1
-0.33

When a simply-supported elastic beam of span L and flexural rigidity EI (E is the modulus of elasticity and I is the moment of inertia of the section) is loaded with a uniformly distributed load w per unit length, the deflection at the mid-span is

$\rm \Delta_0=\frac{5}{384}\frac{wL^4}{El}$

If the load on one half of the span is now removed, the mid-span deflection _______.

A
reduces to Ξ”0/2 
B
reduces to a value less than Ξ”0/2
C
reduces to a value greater than Ξ”0/2
D
remains unchanged at Ξ”0
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