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WorksheetsSTRESS, STRAIN AND DEFORMATION OF SOLIDS
Total questions: 33
Worksheet time: 17mins
Which of the following statements about rigid bodies and deformable solids is correct?
Rigid bodies do not undergo deformation under applied force
Deformable solids retain their shape under all conditions
Rigid bodies exhibit plastic deformation before failure
Deformable solids cannot store elastic energy
The ratio of lateral strain to axial strain is called:
Bulk modulus
Poisson's ratio
Young's modulus
Shear modulus
In a simple tension test, the stress-strain curve for a ductile material initially follows which law?
Hooke's Law
Newton's Law
Pascal's Law
Stokes' Law
Thermal stresses develop in a material when:
The material is heated uniformly
The material undergoes thermal expansion without restriction
Temperature changes occur under constrained conditions
The material cools freely in air
The modulus of rigidity (shear modulus) is the ratio of:
Shear stress to shear strain
Tensile stress to tensile strain
Lateral strain to axial strain
Volumetric strain to hydrostatic stress
Which of the following is NOT an elastic constant?
Young's modulus
Bulk modulus
Poisson's ratio
Yield strength
The deformation of a thin spherical shell under internal pressure is mainly due to:
Tensile stress
Shear stress
Bending stress
Compressive stress
The strength properties of biological fibers mainly depend on:
Elastic modulus and density
Temperature and humidity
Molecular structure and orientation
Color and texture
The hoop stress in a thin-walled spherical shell is:
Half the longitudinal stress in a cylindrical shell
Twice the longitudinal stress in a cylindrical shell
Equal to the longitudinal stress in a cylindrical shell
Four times the longitudinal stress in a cylindrical shell
When a material is subjected to axial tensile load, the strain in the perpendicular direction is known as:
Shear strain
Volumetric strain
Lateral strain
Axial strain
A bar of varying cross-section subjected to axial load experiences deformation. The total elongation of the bar is obtained by:
Integrating stress along the length
Integrating strain along the length
Multiplying stress and strain
Adding individual section elongations
A compound bar consists of two different materials rigidly fixed together. When subjected to temperature change, the stress developed is due to:
Difference in Young's modulus
Difference in thermal expansion coefficients
Difference in Poisson's ratio
Uniform temperature distribution
A rod 200 cm long is subjected to an axial pull due to which it elongates about 2 mm. Calculate the amount of strain?
0.01
0.002
0.01
0.001
What is the factor of safety?
The ratio of stress to strain
The ratio of ultimate stress to the permissible stress
The ratio of permissible stress to the ultimate stress
The ratio of longitudinal strain to stress
Which one of the following is the definition of ultimate tensile strength (UTS) obtained from a stress-strain test on a metal specimen?
Stress value where the stress-strain curve transitions from elastic to plastic behaviour
The maximum load attained divided by the original cross-sectional area
The maximum load attained divided by the corresponding instantaneous cross-sectional area
Stress where the specimen fractures.
A metallic rod of 500mm length and 50mm diameter, when subjected to a tensile force of 100kN at the ends, experiences an increase in its length by 0.5mm and a reduction in its diameter by 0.015mm. The Poisson's ratio of the rod material is (a) .
Which of the following materials is most likely to fail in shear?
Wood
Concrete
Rubber
Steel
What happens to the tensile strength of a material as temperature increases?
It remains constant
It decreases
It fluctuates
It increases
Which of the following stresses is produced due to axial loads?
Bending stress
Tensile and compressive stress
Shear stress
Thermal stress
Where in the stress-strain curve, the Hooke's law is valid?
Elastic range
Valid everywhere
Necking region
Strain hardening region
A thin cylindrical pressure vessel with closed-ends is subjected to internal pressure. The ratio of circumferential (hoop) stress to the longitudinal stress is
0.25
0.50
1.0
2.0
A cylindrical tank with closed ends is filled with compressed air at a pressure of 500kPa. The inner radius of the tank is 2m, and it has wall thickness of 10mm. The magnitude of maximum in-plane shear stress (in MPa) is (a)
A thin cylindrical pressure vessel with closed-ends is subjected to internal pressure. The ratio of circumferential (hoop) stress to the longitudinal stress is
0.25
0.50
1.0
2.0
A cylindrical tank with closed ends is filled with compressed air at a pressure of 500kPa. The inner radius of the tank is 2m, and it has wall thickness of 10mm. The magnitude of maximum in-plane shear stress (in MPa) is (a) .
A gas is stored in a cylindrical tank of inner radius 7 m and wall thickness 50 mm. The gage pressure of the gas is 2 MPa. The maximum shear stress (in MPa) in the wall is
35
70
140
280
What type of stress is primarily responsible for the deformation of a beam under bending?
Bending stress
Tensile stress
Compressive stress
Shear stress
In a material subjected to torsion, the shear stress is maximum at:
At the neutral axis
The center of the shaft
The outer surface
At any cross-section
Which of the following factors does NOT affect the yield strength of a material?
Temperature
Strain rate
Material composition
Color
The stress induced in a thin cylinder due to internal pressure is maximum at
a) The center of the cylinder
b) The inner surface of the cylinder
c) The outer surface of the cylinder
d) The mid-thickness of the cylinder
The deformation in a thin spherical shell due to internal pressure occurs in
a) Radial direction only
b) Longitudinal direction only
c) Circumferential direction only
d) Both radial and circumferential directions
The unit of strain is:
a) Pascal
b) No unit (dimensionless)
c) Newton per square meter
d) Meter per second
In thin-walled pressure vessels, which of the following statements is correct?
a) The circumferential stress is always equal to the longitudinal stress
b) The circumferential stress is twice the longitudinal stress
c) The longitudinal stress is twice the circumferential stress
d) There is no stress in the longitudinal direction
The ratio of volumetric strain to direct strain in one direction is called
a) Bulk modulus
b) Poisson’s ratio
c) Modulus of rigidity
d) Resilience
