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1
GATE CE 2024 Set 1
MCQ (Single Correct Answer)
+2
-0.833

A homogeneous shaft PQR with fixed supports at both ends is subjected to a torsional moment T at point Q, as shown in the figure. The polar moments of inertia of the portions PQ and QR of the shaft with circular cross-sections are $J_1$ and $J_2$, respectively. The torsional moment reactions at the supports P and R are $T_P$ and $T_R$, respectively.

GATE CE 2024 Set 1 Strength of Materials Or Solid Mechanics - Torsion Question 3 English

If $T_P/T_R = 4$ and $J_1/J_2 = 2$, the ratio of the lengths $L_1/L_2$ is:

A

0.50

B

0.25

C

4.00

D

2.00

2
GATE CE 2017 Set 2
Numerical
+2
-0
A hollow circular shaft has an outer diameter of $$100$$ $$mm$$ and inner diameter of $$50mm.$$ If the allowable shear stress is $$125$$ $$MPa$$, the maximum torque (in $$kN$$-$$m$$) that the shaft can resist is ___________
Your input ____
3
GATE CE 2011
MCQ (Single Correct Answer)
+2
-0.6
For the cantilever bracket, $$PQRS,$$ loaded as shown in the adjoining figure $$(PQ=RS=L,$$ and $$QR=2L),$$ which of the following statements is FALSE ? GATE CE 2011 Strength of Materials Or Solid Mechanics - Torsion Question 5 English
A
The portion $$RS$$ has a constant twisting moment with a value of $$2WL.$$
B
The portion $$QR$$ has a varying twisting moment with a maximum value of $$WL.$$
C
The portion $$PQ$$ has a varying bending moment with a maximum value of $$WL$$.
D
The portion $$PQ$$ has no twisting moment.
4
GATE CE 2010
MCQ (Single Correct Answer)
+2
-0.6
A solid circular shaft of diameter d and length $$L$$ is fixed at one end and free at the other end. A torque t is applied at the free end. The shear modulus of the material is $$G.$$ The angle of twist at three free ends is
A
$${{16TL} \over {\pi {d^4}G}}$$
B
$${{32TL} \over {\pi {d^4}G}}$$
C
$${{64TL} \over {\pi {d^4}G}}$$
D
$${{128TL} \over {\pi {d^4}G}}$$
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GATE CE Subjects
Engineering Mechanics
Work Energy Principle and Impulse Momentum Equation Equilibrium of Force Systems
Strength of Materials Or Solid Mechanics
Pure Bending Shear Stress In Beams Simple Stresses Complex Stress Centroid and Moment of Inertia Torsion Shear Force and Bending Moment Deflection of Beams Thin Cylinder Strain Energy Method Columns and Struts 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
Critical Path Method Construction Materials Program Evolution Review Technique
Reinforced Cement Concrete
Singly Reinforced Sections Workmenship and Fundamentals Doubly Reinforced Sections Flanged Beams Limit State of Collapse Shear Limit State of Collapse Torsion Limit State of Collapse Compression Footings Bond Limit State of Serviceability Prestressed Concrete Slabs
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 Hydrostatic Forces Fluid Dynamics Boundary Layer Theory Drag and Lift Dimensional Analysis Flow Through Pipes Open Channel Flow Hydraulic Machines Properties of Fluids Fluid Statics
Hydrology
Precipitation and Frequency of Rainfall Data Evaporation and Transpiration Infiltration Hydrograph Flood Estimation and Flood Routing Well Hydraulics and River Gauging
Irrigation
Water Requirement of Crops Gravity Dams and Spillways
Geomatics Engineering Or Surveying
Levelling Traversing Theodolites and Plane Table Surveying Measurement of Area, Volume and Theory of Errors and Survey Adjustment Curves Field Astronomy and Photogrammetric Surveying Basics of GIS, GPS and Remote Sensing Angular Measurements and Compass Survey Basic Concepts Linear Measurements and Chain Survey
Environmental Engineering
Sources and Coveyances Water Quality Control of Water Treatment of Water Water Demand Waste Water Characteristics Sewage System and Sewer Appurtenances Treatment of Sewage Disposal of Sewage Effluent Solid Waste Management Air Pollution Noise Pollution
Transportation Engineering
Highway Devolopment and Planning Highway Geometric Design Traffic Engineering Highway Materials Pavement Design Railway, Runway and Taxiway Design
Engineering Mathematics
Probability and Statistics Differential Equations Transform Theory Calculus Complex Variable Linear Algebra Vector Calculus Numerical Methods
General Aptitude
Numerical Ability Logical Reasoning Verbal Ability
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