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1
GATE CE 2025 Set 2
MCQ (Single Correct Answer)
+2
-0.67

Let the state of stress at a point in a body be the difference of two plane states of stress shown in the figure. Consider all the possible planes perpendicular to the $x-y$ plane and passing through that point. The magnitude of the maximum compressive stress on any such plane is $k \sigma_0$, where $k$ is equal to _________ (round off to one decimal place).

GATE CE 2025 Set 2 Strength of Materials Or Solid Mechanics - Complex Stress Question 1 English
A
3.0
B
2.1
C
1.7
D
1.5
2
GATE CE 2024 Set 1
MCQ (Single Correct Answer)
+2
-0.833

Find the correct match between the plane stress states and the Mohr’s circles.

GATE CE 2024 Set 1 Strength of Materials Or Solid Mechanics - Complex Stress Question 5 English
A

(P)-(III); (Q)-(IV); (R)-(I); (S)-(II)

B

(P)-(III); (Q)-(II); (R)-(I); (S)-(IV)

C

(P)-(I); (Q)-(IV); (R)-(III); (S)-(II)

D

(P)-(I); (Q)-(II); (R)-(III); (S)-(IV)

3
GATE CE 2023 Set 2
MCQ (Single Correct Answer)
+2
-0.67

In a two-dimensional stress analysis, the state of stress at a point is shown in the figure. The values of length of PQ, QR, and RP are 4, 3, and 5 units, respectively. The principal stresses are ________. (round off to one decimal place)

GATE CE 2023 Set 2 Strength of Materials Or Solid Mechanics - Complex Stress Question 3 English
A
σx = 26.7 MPa, σy = 172.5 MPa
B
σx = 54.0 MPa, σy = 128.5 MPa
C
σx = 67.5 MPa, σy = 213.3 MPa 
D
σx = 16.0 MPa, σy = 138.5 MPa
4
GATE CE 2023 Set 2
Numerical
+2
-0
A 2D thin plate with modulus of elasticity, 𝐸 = 1.0 N/m2, and Poisson’s ratio, 𝜇 = 0.5, is in plane stress condition. The displacement field in the plate is given by 𝑢 = 𝐶𝑥2𝑦 and 𝑣 = 0, where 𝑢 and 𝑣 are displacements (in m) along the 𝑋 and 𝑌 directions, respectively, and 𝐶 is a constant (in m−2). The distances x and y along X and Y, respectively, are in m. The stress in the 𝑋 direction is 𝜎𝑋𝑋 = 40𝑥𝑦 N/m2, and the shear stress is 𝜏𝑋𝑌 = 𝛼𝑥2 N/m2. What is the value of 𝛼 (in N/m4, in integer)? ________
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GATE CE Subjects
Engineering Mechanics
Equilibrium of Force Systems Work Energy Principle and Impulse Momentum Equation
Strength of Materials Or Solid Mechanics
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
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
Construction Material and Management
Critical Path Method Construction Materials Program Evolution Review Technique
Reinforced Cement Concrete
Doubly Reinforced Sections Limit State of Collapse Shear Footings Bond Slabs Limit State of Collapse Torsion Limit State of Serviceability Prestressed Concrete Singly Reinforced Sections Workmenship and Fundamentals Flanged Beams Limit State of Collapse Compression
Steel Structures
Materials and Specifications Tension Members Riveted Joints and Bolted Joints Welded Connections Eccentric Connections Compression Members Beams Plate Girder
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
Gravity Dams and Spillways Water Requirement of Crops
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 Calculus Complex Variable Differential Equations Linear Algebra Numerical Methods Vector Calculus Transform Theory
General Aptitude
Numerical Ability Logical Reasoning Verbal Ability
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