GATE Past Year Questions: Stress & Strain

# GATE Past Year Questions: Stress & Strain | Strength of Materials (SOM) - Mechanical Engineering PDF Download

Question for GATE Past Year Questions: Stress & Strain
Try yourself:Two identical circular rods of same diameter and same length are subjected to same magnitude of axial tensile force. One of the rods is made out of mild steel having the modulus of elasticity of 206 GPa. The other rod is made out of east iron having the modulus of elasticity of 100 GPa. Assume both the materials to be homogeneous and isotropic and the axial force causes the same amount of uniform stress in both the rods. The stresses developed are within the proportional limit of the respective materials. Which of the following observations is correct?

[2003]

Question for GATE Past Year Questions: Stress & Strain
Try yourself:A rod of length L having uniform cross-section area A is subjected to a tensile force P as shown in the figure below. If the Young's modulus of the material varies linearly from E1 to E2 along the length of the rod, the normal stress developed at the section-SS at

[2013]

Question for GATE Past Year Questions: Stress & Strain
Try yourself:A thin plate of uniform thickness is subject to pressure as shown in the figure below

Under the assumption of plane stress, which one of the following is correct?

[2014]

Question for GATE Past Year Questions: Stress & Strain
Try yourself:The stress-strain curve for mild steel is shown in figure given below. Choose the correct option referring to both figure and table.

[2014]

Question for GATE Past Year Questions: Stress & Strain
Try yourself:Which one of the following types of stress-strain relationship best describes the behavior of brittle materials, such as ceramics and thermosetting plastics, (σ = stress and ε - strain)?

[2015]

Question for GATE Past Year Questions: Stress & Strain
Try yourself:A rod of length 20 mm is stretched to make a rod of length 40 mm. Subsequently, it is compressed to make a rod of final length 10 mm. Consider the longitudinal tensile strain as positive and compressive strain as negative.The total true longitudinal strain in the rod is

[2017]

Question for GATE Past Year Questions: Stress & Strain
Try yourself:In the engineering stress-strain curve for mild steel, the Ultimate Tensile Strength (UTS) refers to

[2017]

Question for GATE Past Year Questions: Stress & Strain
Try yourself:The Poisson's ratio for a perfectly incompressible linear elastic material is

[2017]

Question for GATE Past Year Questions: Stress & Strain
Try yourself:Below figure shows a rigid bar hinged at A and supported in a horizontal position by two vertical identical steel wires. Neglect the weight of the beam. The tension T1 and T2 induced in these wires by a vertical load P applied as shown are

[1994]

Question for GATE Past Year Questions: Stress & Strain
Try yourself:In terms of Poisson's ratio (μ) the ratio of Young's modulus (E) to Shear modulus (G) of elastic materials is

[2004]

Question for GATE Past Year Questions: Stress & Strain
Try yourself:A 200 × 100 × 50 mm steel block is subjected to a hydrostatic pressure of 15 MPa. The Young's modulus and Poisson's ratio of the material are 200 GPa and 0.3 respectively. The change in the volume of the block in mm3 is

[2007]

Question for GATE Past Year Questions: Stress & Strain
Try yourself:A rod of length L and diameter D is subjected to a tensile load P. Which of the following is sufficient to calculate the resulting change in diameter?

[2008]

Question for GATE Past Year Questions: Stress & Strain
Try yourself:A cylindrical container of radius R = 1 m, wall thickness 1 mm is filled with water up to a depth of 2 m and suspended along its upper rim. The density of water is 1000 kg/m3 and acceleration due to gravity is 10 m/s2. The self-weight of the cylinder is negligible. The formula for hoop stress in a thin-walled cylinder can be used at all points along the height of the cylindrical container.

The axial and circumferential stress (σa, σc) experienced by the cylinder wall at mid-depth (m as shown) are

[2008]

Question for GATE Past Year Questions: Stress & Strain
Try yourself:A cylindrical container of radius R = 1 m, wall thickness 1 mm is filled with water up to a depth of 2 m and suspended along its upper rim. The density of water is 1000 kg/m3 and acceleration due to gravity is 10 m/s2. The self-weight of the cylinder is negligible. The formula for hoop stress in a thin-walled cylinder can be used at all points along the height of the cylindrical container.

If the Young's modulus and Poisson's ratio of the container material' are 100 GPa and 0.3, respectively, the axial strain in the cylinder wall at mid-depth is

[2008]

Question for GATE Past Year Questions: Stress & Strain
Try yourself:The figure below shows a steel rod of 25 mm2 cross sectional area. It is loaded at four points. K, L, M and N. Assume Esteel = 200 GPa. The total change in length of the rod due to loading is

[2004]

Question for GATE Past Year Questions: Stress & Strain
Try yourself:A bar having a cross-sectional area of 700 mm2 is subjected to axial loads at the positions indicated. The value of stress in the segment QR is

[2006]

Question for GATE Past Year Questions: Stress & Strain
Try yourself:A bimetallic cylindrical bar of cross sectional area 1 m2 is made by bonding Steel (Young's modulus = 210 GPa) and Aluminium (Young's modulus = 70 GPa) as shown in the figure. To maintain tensile axial strain of magnitude 10–6 in steel bar and compressive axial strain of magnitude 10–6 in Aluminum bar, the magnitude of the required force P(in kN) along the indicated direction is

[2018]

Question for GATE Past Year Questions: Stress & Strain
Try yourself:A free bar of length / is uniformly heated from 0°C to a temperature t°C, α is the coefficient of linear expansion and E the modulus of elasticity. The stress in the bar is

[1995]

Question for GATE Past Year Questions: Stress & Strain
Try yourself:A uniform, slender cylindrical rod is made of a homogeneous and isotropic material. The rod rests on a frictionless surface. The rod is heated uniformly. If the radial and longitudinal thermal stresses are represented by σr and σz respectively, then

[2005]

Question for GATE Past Year Questions: Stress & Strain
Try yourself:A steel rod of length L and diameter D, fixed at both ends, is uniformly heated to a temperature rise of ΔT. The Young's modulus is E and the coefficient of linear expansion is a. The thermal stress in the rod is

[2007]

Question for GATE Past Year Questions: Stress & Strain
Try yourself:A solid steel cube constrained on all six faces is heated so that the temperature rises uniformly by ΔT. If the thermal coefficient of the material is α, Young's modulus is E and the Poisson's ratio is v , the thermal stress developed in the cube due to heating is

[2012]

Question for GATE Past Year Questions: Stress & Strain
Try yourself:A circular rod of length L and area of crosssection A has a modulus of elasticity E and coefficient of thermal expansion α. One end of the rod is fixed and other end is free. If the temperature of the rod is increased by ΔT, then

[2014]

Question for GATE Past Year Questions: Stress & Strain
Try yourself:A steel cube, with all faces free to deform, has Young's modulus, E, Poisson's ratio, v, and coefficient of thermal expansion, a. The pressure (hydrostatic stress) developed within the cube, when it is subjected to a uniform increase in temperature, ΔT, is given by

[2014]

The document GATE Past Year Questions: Stress & Strain | Strength of Materials (SOM) - Mechanical Engineering is a part of the Mechanical Engineering Course Strength of Materials (SOM).
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## Strength of Materials (SOM)

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## FAQs on GATE Past Year Questions: Stress & Strain - Strength of Materials (SOM) - Mechanical Engineering

 1. What is stress in mechanical engineering?
Ans. Stress in mechanical engineering refers to the internal resistance or force experienced by a material when it is subjected to an external load or force. It is measured as force per unit area and is expressed in units of Pascal (Pa) or pounds per square inch (psi).
 2. What is strain in mechanical engineering?
Ans. Strain in mechanical engineering is the measure of deformation or elongation experienced by a material when subjected to an external force or load. It is calculated as the change in length divided by the original length and is expressed as a dimensionless quantity.
 3. What are the different types of stress?
Ans. In mechanical engineering, there are three primary types of stress: 1. Tensile stress: It occurs when a material is pulled apart, causing it to elongate. 2. Compressive stress: It occurs when a material is pushed together, causing it to shorten. 3. Shear stress: It occurs when a material is subjected to parallel forces in opposite directions, causing deformation along the planes parallel to the forces.
 4. How is stress related to strain?
Ans. Stress and strain are closely related in mechanical engineering. Stress is the force per unit area applied to a material, while strain is the resulting deformation or elongation of the material. The relationship between stress and strain is described by the material's modulus of elasticity, known as Young's modulus. Young's modulus is a measure of the stiffness or rigidity of a material and determines how it responds to applied stress.
 5. What is the significance of stress and strain in mechanical engineering?
Ans. Stress and strain are essential concepts in mechanical engineering as they help engineers understand and predict the behavior of materials under different loading conditions. By analyzing stress and strain, engineers can design structures and components that can withstand the expected forces and deformations without failure. Understanding stress and strain also aids in selecting appropriate materials for specific applications, ensuring the safety and reliability of mechanical systems.

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