GATE ME

Simple Stress and Strain

Strength of Materials

(Past Years Questions)

Marks 1

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A steel bar is held by two fixed supports as shown in the figure and is subjected to an increases of temperature $$\Delt...
GATE ME 2017 Set 2
The Poisson's ratio for a perfectly incompressible linear elastic material is
GATE ME 2017 Set 1
In the engineering stress-strain curve for mild steel, the Ultimate Tensile Strength $$(UTS)$$ refers to
GATE ME 2017 Set 1
A rod is subjected to an uniaxial load within linear elastic limit. When the change in the stress is $$200$$ MPa, the ch...
GATE ME 2015 Set 2
If the Poisson's ratio of an elastic material is $$0.4$$, the ratio of modulus of rigidity to Young's modulus is _____ .
GATE ME 2014 Set 4
The number of independent elastic constants required to define the stress-strain relationship for an isotropic elastic s...
GATE ME 2014 Set 4
The stress-strain curve for mild steel is shown in the figure given below. Choose the correct option referring to both f...
GATE ME 2014 Set 3
A steel cube, with all faces free to deform, has Young’s modulus, $$E,$$ Poisson’s ratio, $$ν,$$ and coefficient of ther...
GATE ME 2014 Set 2
A circular rod of length $$‘L’$$ and area of cross-section $$‘A’$$ has a modulus of elasticity $$‘E’$$ and coefficient o...
GATE ME 2014 Set 1
A metallic rod of $$500$$mm length and $$50$$mm diameter, when subjected to a tensile force of $$100$$kN at the ends, ex...
GATE ME 2014 Set 1
A metallic rod of $$500$$mm length and $$50$$mm diameter, when subjected to a tensile force of $$100$$kN at the ends, ex...
GATE ME 2014 Set 1
A rod of length $$L$$ having uniform cross-sectional area $$A$$ is subjected to a tensile force $$P$$ as shown in the fi...
GATE ME 2013
A steel rod of length $$L$$ and diameter $$D$$, fixed at both ends, is uniformly heated to a temperature rise of $$\Delt...
GATE ME 2007
In terms of Poisson's ratio $$\left( \mu \right)$$ the ratio of Young's Modulus $$(E)$$ to Shear Modulus $$(G)$$ of ela...
GATE ME 2004
A uniform, slender cylindrical rod is made of a homogeneous and isotropic material. The rod rests on a frictionless surf...
GATE ME 2004
Two identical circular rods of same diameter and same length are subjected to same magnitude of axial tensile force. One...
GATE ME 2003
A free bar of length 1 m is uniformly heated from $${0^ \circ }C$$ to a temperature of $${t^ \circ }C$$. $$\alpha $$ is...
GATE ME 1995
A large uniform plate containing a rivet-hole is subjected to uniform uniaxial tension of 95 MPa. The maximum stress in ...
GATE ME 1992

Marks 2

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A horizontal bar, fixed at one end (x = 0), has a length of 1 m, and cross-sectional area of 100 mm2. Its elastic modulu...
GATE ME 2017 Set 1
A point mass of $$100$$ kg is dropped onto a massless elastic bar (cross-sectional area = $$100$$ $$mm$$2 ,length = $$1$...
GATE ME 2017 Set 1
A square plate of dimension L $$ \times $$ L is subjected to a uniform pressure load P = 250 MPa on its edges as shown i...
GATE ME 2016 Set 3
In the figure, the load P = 1 N, length L = 1 m, Young’s modulus E = 70 GPa, and the cross-section of the links is a squ...
GATE ME 2016 Set 2
A circular metallic rod of length 250 mm is placed between two rigid immovable walls as shown in the figure. The rod is ...
GATE ME 2016 Set 2
A horizontal bar with a constant cross-section is subjected to loading as shown in the figure. The Young’s modules for t...
GATE ME 2016 Set 1
A hypothetical engineering stress-strain curve shown in the figure has three straight lines PQ, QR, RS with coordinates ...
GATE ME 2016 Set 1
A solid steel cube constrained on all six faces is heated so that the temperature rises uniformly by $$\Delta T.$$ If th...
GATE ME 2012
A $$200$$ mm long, stress free rod at room temperature is held between two immovable rigid walls. The temperature of the...
GATE ME 2012
A steel bar of 40 mm × 40 mm square cross-section is subjected to an axial compressive load of 200 kN. If the length of ...
GATE ME 2006
A bar having a cross-sectional area of 700 mm2 is subjected to axial loads at the positions indicated. The value of stre...
GATE ME 2006
The figure below shows a steel rod of $$25$$ mm2 cross sectional area. It is loaded at four points, K, L, M and N. Assum...
GATE ME 2004
A $$200 \times 100 \times 50$$ mm steel block is subjected to a hydrostatic pressure of $$15$$ MPa. The Young's modulus ...
GATE ME 2003
Below Fig. shows a rigid bar hinged at A and supported in a horizontal position by two vertical identical steel wires. N...
GATE ME 1994
Determine the temperature rise necessary to induce buckling in a 1 m long circular rod of diameter 40 mm shown in the fi...
GATE ME 1993

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