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All questions of Elasticity for UPSC CSE Exam
What does the proportional limit represent on a stress-strain curve?- a)The point at which plastic deformation begins
- b)The maximum stress a material can withstand
- c)The point at which the curve becomes linear
- d)The point at which the material returns to its original position after the removal of the applied load
Correct answer is option 'C'. Can you explain this answer?
What does the proportional limit represent on a stress-strain curve?
a)
The point at which plastic deformation begins
b)
The maximum stress a material can withstand
c)
The point at which the curve becomes linear
d)
The point at which the material returns to its original position after the removal of the applied load
|
KS Coaching Center answered |
The proportional limit on a stress-strain curve represents the point at which the curve becomes linear, indicating the range within which Hooke's Law applies. It's the point where stress and strain are directly proportional, and the material behaves elastically without undergoing permanent deformation.
Which type of stress causes a shift or twist in the shape of the object?- a)Tensile stress
- b)Compressive stress
- c)Volume stress
- d)Shear stress
Correct answer is option 'D'. Can you explain this answer?
Which type of stress causes a shift or twist in the shape of the object?
a)
Tensile stress
b)
Compressive stress
c)
Volume stress
d)
Shear stress
|
|
KS Coaching Center answered |
Shear stress arises when the applied force is tangential or parallel to the body's surface, causing a shift or twist in the shape of the object. This type of stress is common in materials subjected to cutting, punching, or bending forces.
What does the stress-strain curve illustrate?- a)The relationship between stress and strain for a material subjected to varying loads
- b)The temperature dependence of a material's elasticity
- c)The electrical conductivity of a material under stress
- d)The density changes of a material during deformation
Correct answer is option 'A'. Can you explain this answer?
What does the stress-strain curve illustrate?
a)
The relationship between stress and strain for a material subjected to varying loads
b)
The temperature dependence of a material's elasticity
c)
The electrical conductivity of a material under stress
d)
The density changes of a material during deformation
|
Paradigm Institute answered |
The stress-strain curve provides insights into the mechanical properties of solids by illustrating the relationship between stress and strain for a material subjected to varying loads. This curve helps in understanding how a material deforms under stress and how it behaves within its elastic and plastic limits.
Which of the following stress types occurs when an applied force causes a change in length of the material?- a)Volume stress
- b)Shear stress
- c)Longitudinal stress
- d)Tensile stress
Correct answer is option 'C'. Can you explain this answer?
Which of the following stress types occurs when an applied force causes a change in length of the material?
a)
Volume stress
b)
Shear stress
c)
Longitudinal stress
d)
Tensile stress
|
|
Paradigm Institute answered |
Longitudinal stress occurs when the stress is normal to the body's surface area and leads to a change in length of the material. This type of stress includes both tensile stress, which causes stretching, and compressive stress, which results in material compression. It's essential to understand these stress types to analyze how materials respond to external forces.
Which point on the stress-strain curve indicates the maximum stress a material can withstand before failure occurs?- a)Proportional limit
- b)Elastic limit
- c)Yield point
- d)Ultimate stress point
Correct answer is option 'D'. Can you explain this answer?
Which point on the stress-strain curve indicates the maximum stress a material can withstand before failure occurs?
a)
Proportional limit
b)
Elastic limit
c)
Yield point
d)
Ultimate stress point
|
|
Paradigm Institute answered |
The ultimate stress point on the stress-strain curve indicates the maximum stress a material can withstand before failure occurs. Beyond this point, the material fractures or breaks, leading to structural failure.
What property of a material allows it to regain its original size and shape after being subjected to external forces?- a)Plasticity
- b)Elasticity
- c)Ductility
- d)Brittleness
Correct answer is option 'B'. Can you explain this answer?
What property of a material allows it to regain its original size and shape after being subjected to external forces?
a)
Plasticity
b)
Elasticity
c)
Ductility
d)
Brittleness
|
|
Paradigm Institute answered |
Elasticity refers to the ability of a material to withstand distorting influences and return to its original size and shape once the external force is removed. Unlike plasticity, where deformation is retained, elastic materials have the capacity to bounce back. For example, rubber bands and springs exhibit elastic behavior, allowing them to stretch or compress under force and then return to their original form when the force is removed.
At what point on the stress-strain curve does plastic deformation occur?- a)Proportional limit
- b)Elastic limit
- c)Yield point
- d)Ultimate stress point
Correct answer is option 'C'. Can you explain this answer?
At what point on the stress-strain curve does plastic deformation occur?
a)
Proportional limit
b)
Elastic limit
c)
Yield point
d)
Ultimate stress point
|
|
Paradigm Institute answered |
Plastic deformation occurs at the yield point on the stress-strain curve. Beyond this point, the material undergoes permanent changes in shape, indicating the onset of plasticity.
Which material typically exhibits linear-elastic behavior according to Hooke's Law?- a)Rubber
- b)Steel
- c)Glass
- d)Wood
Correct answer is option 'B'. Can you explain this answer?
Which material typically exhibits linear-elastic behavior according to Hooke's Law?
a)
Rubber
b)
Steel
c)
Glass
d)
Wood
|
|
KS Coaching Center answered |
Steel typically exhibits linear-elastic behavior according to Hooke's Law. This means that within its elastic limit, the relationship between stress and strain is linear, making steel a material commonly used in engineering applications where predictable deformation is desired.
Which stress type occurs when a deforming force acts in all dimensions, resulting in a change in the body's volume?- a)Longitudinal stress
- b)Tensile stress
- c)Compressive stress
- d)Volume stress
Correct answer is option 'D'. Can you explain this answer?
Which stress type occurs when a deforming force acts in all dimensions, resulting in a change in the body's volume?
a)
Longitudinal stress
b)
Tensile stress
c)
Compressive stress
d)
Volume stress
|
|
Paradigm Institute answered |
Volume stress, also known as bulk stress, occurs when a deforming force acts in all dimensions, resulting in a change in the body's volume. This type of stress is important in understanding how materials respond to external pressures or forces.
What does Young's modulus measure?- a)Density of a material
- b)Hardness of a material
- c)Ability to tolerate compression or elongation relative to its length
- d)Thermal conductivity of a material
Correct answer is option 'C'. Can you explain this answer?
What does Young's modulus measure?
a)
Density of a material
b)
Hardness of a material
c)
Ability to tolerate compression or elongation relative to its length
d)
Thermal conductivity of a material
|
|
KS Coaching Center answered |
Young's modulus, also known as the modulus of elasticity, measures a material's ability to tolerate compression or elongation relative to its length. It quantifies the stress required to induce a unit of strain, providing crucial information about a material's mechanical behavior under stress.
Which type of strain occurs when the applied force alters the shape of the body?- a)Longitudinal strain
- b)Volume strain
- c)Shearing strain
- d)Volumetric strain
Correct answer is option 'C'. Can you explain this answer?
Which type of strain occurs when the applied force alters the shape of the body?
a)
Longitudinal strain
b)
Volume strain
c)
Shearing strain
d)
Volumetric strain
|
Catalyst Learningacademy answered |
Shearing strain occurs when the applied force alters the shape of the body, causing layers of the material to shift relative to each other. This type of strain is common in materials subjected to forces that induce twisting or sliding motions.
What does the elastic hysteresis represent?- a)Energy lost as heat during loading and unloading cycles
- b)Elastic potential energy of the material
- c)The maximum stress a material can withstand
- d)The ability of a material to regain its original shape
Correct answer is option 'A'. Can you explain this answer?
What does the elastic hysteresis represent?
a)
Energy lost as heat during loading and unloading cycles
b)
Elastic potential energy of the material
c)
The maximum stress a material can withstand
d)
The ability of a material to regain its original shape
|
|
Catalyst Learningacademy answered |
Elastic hysteresis represents the energy lost as heat during loading and unloading cycles of a material. It accounts for the difference between the strain energy required to achieve a particular stress and the elastic energy stored in the material.
Which type of strain represents the change in volume relative to the initial volume caused by external deformation-producing forces?- a)Shearing strain
- b)Longitudinal strain
- c)Volume strain
- d)Volumetric strain
Correct answer is option 'D'. Can you explain this answer?
Which type of strain represents the change in volume relative to the initial volume caused by external deformation-producing forces?
a)
Shearing strain
b)
Longitudinal strain
c)
Volume strain
d)
Volumetric strain
|
Prisha Basak answered |
Understanding Volumetric Strain
Volumetric strain is a critical concept in materials science and engineering, particularly when analyzing how materials respond to external forces.
Definition
- Volumetric strain is defined as the change in volume of a material relative to its original volume due to external deformation-producing forces.
Formula
- The formula for volumetric strain (ΔV/V₀) is expressed as:
\[
\text{Volumetric Strain} = \frac{\Delta V}{V₀}
\]
where:
- ΔV = Change in volume
- V₀ = Original volume
Comparison with Other Strains
- **Shearing Strain**: Measures the change in shape without a change in volume, primarily concerned with angular distortion.
- **Longitudinal Strain**: Focuses on the change in length relative to the original length, often associated with stretching or compressing along one axis.
- **Volume Strain**: Often used interchangeably with volumetric strain but can refer specifically to the relative change in volume without emphasizing the external forces.
Significance
- Understanding volumetric strain is vital for engineers and scientists when designing structures and materials, ensuring they can withstand applied forces without failing.
- It plays a crucial role in applications ranging from civil engineering to geotechnics, where soil and rock behavior under pressure must be predicted.
In conclusion, volumetric strain accurately represents how a material's volume changes in response to external forces, making it the correct choice in this context.
Volumetric strain is a critical concept in materials science and engineering, particularly when analyzing how materials respond to external forces.
Definition
- Volumetric strain is defined as the change in volume of a material relative to its original volume due to external deformation-producing forces.
Formula
- The formula for volumetric strain (ΔV/V₀) is expressed as:
\[
\text{Volumetric Strain} = \frac{\Delta V}{V₀}
\]
where:
- ΔV = Change in volume
- V₀ = Original volume
Comparison with Other Strains
- **Shearing Strain**: Measures the change in shape without a change in volume, primarily concerned with angular distortion.
- **Longitudinal Strain**: Focuses on the change in length relative to the original length, often associated with stretching or compressing along one axis.
- **Volume Strain**: Often used interchangeably with volumetric strain but can refer specifically to the relative change in volume without emphasizing the external forces.
Significance
- Understanding volumetric strain is vital for engineers and scientists when designing structures and materials, ensuring they can withstand applied forces without failing.
- It plays a crucial role in applications ranging from civil engineering to geotechnics, where soil and rock behavior under pressure must be predicted.
In conclusion, volumetric strain accurately represents how a material's volume changes in response to external forces, making it the correct choice in this context.
In Hooke's Law, what does σ represent?- a)Strain
- b)Stress
- c)Young's modulus
- d)Shearing strain
Correct answer is option 'B'. Can you explain this answer?
In Hooke's Law, what does σ represent?
a)
Strain
b)
Stress
c)
Young's modulus
d)
Shearing strain
|
|
Catalyst Learningacademy answered |
In Hooke's Law, σ represents stress. Hooke's Law establishes a proportional relationship between stress and strain within a material's elastic limit, illustrating how stress affects the deformation of a material.
What is the unit of measurement for Young's modulus?- a)Newton (N)
- b)Joule (J)
- c)Meter (m)
- d)Pascal (Pa)
Correct answer is option 'D'. Can you explain this answer?
What is the unit of measurement for Young's modulus?
a)
Newton (N)
b)
Joule (J)
c)
Meter (m)
d)
Pascal (Pa)
|
|
Catalyst Learningacademy answered |
The unit of measurement for Young's modulus is the pascal (Pa). Young's modulus quantifies the stress required to induce a unit of strain in a material, and its SI unit is the pascal, which is equivalent to one newton per square meter (N/m²).
Chapter doubts & questions for Elasticity - Lucent for GK 2025 is part of UPSC CSE exam preparation. The chapters have been prepared according to the UPSC CSE exam syllabus. The Chapter doubts & questions, notes, tests & MCQs are made for UPSC CSE 2025 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests here.
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