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1
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
2
GATE CE 2022 Set 1
MCQ (Single Correct Answer)
+1
-0.33

The hoop stress at a point on the surface of a thin cylindrical pressure vessel is computed to be 30.0 MPa. The value of maximum shear stress at this point is

A
7.5 MPa
B
15.0 MPa
C
30 MPa
D
22.5 MPa
3
GATE CE 2006
MCQ (Single Correct Answer)
+1
-0.3
A long shaft of diameter $$d$$ is subjected to twisting moment $$T$$ at its ends. The maximum normal stress acting at its cross-section is equal to
A
zero
B
$${{16T} \over {\pi {d^3}}}$$
C
$${{32T} \over {\pi {d^3}}}$$
D
$${{64T} \over {\pi {d^3}}}$$
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Engineering Mechanics
Work Energy Principle and Impulse Momentum Equation Equilibrium of Force Systems
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Centroid and Moment of Inertia Torsion Pure Bending Shear Stress In Beams Strain Energy Method Columns and Struts Complex Stress Deflection of Beams Thin Cylinder Simple Stresses Shear Force and Bending Moment Propped Cantilever Beam
Structural Analysis
Energy Principle Truss Stability and Static Indeterminacy Methods of Analysis Indeterminacy Arches and Cable Slope Deflection Method Matrix Method Moment Distribution Method Influence Line Diagram Plastic Analysis
Construction Material and Management
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Steel Structures
Eccentric Connections Plate Girder Tension Members Welded Connections Materials and Specifications Riveted Joints and Bolted Joints Beams Compression Members
Geotechnical Engineering
Origin of Soils Definitions and Properties of Soils Classification of Soils and Clay Mineralogy Effective Stress and Permeability Seepage Analysis Compaction of Soil Compressibility and Consolidation Shear Strength of Soil Stress Distribution of Soil Retaining Wall and Earth Pressure Stability of Slopes Shallow Foundation Pile Foundation Soil Stabilization
Fluid Mechanics and Hydraulic Machines
Fluid Pressure and Measurement Fluid Dynamics Boundary Layer Theory Drag and Lift Flow Through Pipes Open Channel Flow Hydraulic Machines Properties of Fluids Fluid Statics
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Precipitation and Frequency of Rainfall Data Evaporation and Transpiration Infiltration Hydrograph Flood Estimation and Flood Routing
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Water Requirement of Crops Gravity Dams and Spillways
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