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1
GATE CE 2024 Set 1
MCQ (Single Correct Answer)
+1
-0.33

The three-dimensional state of stress at a point is given by

$$\sigma = \begin{pmatrix} 10 & 0 & 0 \\ 0 & 40 & 0 \\ 0 & 0 & 0 \end{pmatrix} \text{ MPa.}$$

The maximum shear stress at the point is

A

20 MPa

B

15 MPa

C

5 MPa

D

25 MPa

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

Stresses acting on an infinitesimal soil element are shown in the figure (with $$\sigma$$z > $$\sigma$$x). The major and minor principal stresses are $$\sigma$$1 and $$\sigma$$3, respectively. Considering the compressive stresses as positive, which one of the following expressions correctly represents the angle between the major principal stress plane and the horizontal plane?

GATE CE 2022 Set 2 Strength of Materials Or Solid Mechanics - Complex Stress Question 6 English

A
$${\tan ^{ - 1}}\left( {{{{\tau _{zx}}} \over {{\sigma _1} + {\sigma _3}}}} \right)$$
B
$${\tan ^{ - 1}}\left( {{{{\tau _{zx}}} \over {{\sigma _3} - {\sigma _x}}}} \right)$$
C
$${\tan ^{ - 1}}\left( {{{{\tau _{zx}}} \over {{\sigma _1} - {\sigma _x}}}} \right)$$
D
$${\tan ^{ - 1}}\left( {{{{\tau _{zx}}} \over {{\sigma _1} + {\sigma _x}}}} \right)$$
3
GATE CE 2015 Set 1
Numerical
+1
-0
Two triangular wedges are glued together as shown in the following figure. The stress acting normal to the interface, $${\sigma _n}$$ is _____$$MPa.$$ GATE CE 2015 Set 1 Strength of Materials Or Solid Mechanics - Complex Stress Question 16 English
Your input ____
4
GATE CE 2015 Set 2
MCQ (Single Correct Answer)
+1
-0.3
For the plane stress situation shown in the figure, the maximum shear stress and the plane on which it acts are: GATE CE 2015 Set 2 Strength of Materials Or Solid Mechanics - Complex Stress Question 15 English
A
$$-50$$ $$MPa$$, on a plane $${45^ \circ }$$ clockwise $$w.r.t.x$$-axis
B
$$-50$$ $$MPa$$, on a plane $${45^ \circ }$$ anti-clockwise $$w.r.t.x$$-axis
C
$$50$$ $$MPa$$, at all orientations
D
zero, at all orientations
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GATE CE Subjects
Construction Material and Management
Critical Path Method Construction Materials Program Evolution Review Technique
Geomatics Engineering Or Surveying
Levelling Traversing Theodolites and Plane Table Surveying Measurement of Area, Volume and Theory of Errors and Survey Adjustment Field Astronomy and Photogrammetric Surveying Basics of GIS, GPS and Remote Sensing Angular Measurements and Compass Survey Basic Concepts Linear Measurements and Chain Survey
Engineering Mechanics
Equilibrium of Force Systems Work Energy Principle and Impulse Momentum Equation
Hydrology
Precipitation and Frequency of Rainfall Data Evaporation and Transpiration Infiltration Hydrograph Flood Estimation and Flood Routing
Transportation Engineering
Highway Devolopment and Planning Highway Geometric Design Traffic Engineering Highway Materials Pavement Design Railway, Runway and Taxiway Design
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
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
Materials and Specifications Tension Members Riveted Joints and Bolted Joints Welded Connections Eccentric Connections Compression Members Beams Plate Girder
Irrigation
Gravity Dams and Spillways Water Requirement of Crops
Environmental Engineering
Sources and Coveyances Water Quality Control of Water Treatment of Water Water Demand Waste Water Characteristics Treatment of Sewage Disposal of Sewage Effluent Solid Waste Management Air Pollution Noise Pollution
Engineering Mathematics
Probability and Statistics Calculus Complex Variable Differential Equations Linear Algebra Numerical Methods Vector Calculus Transform Theory
Structural Analysis
Stability and Static Indeterminacy Methods of Analysis Plastic Analysis Moment Distribution Method Indeterminacy Energy Principle Influence Line Diagram Arches and Cable Slope Deflection Method Truss Matrix Method
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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