Podcast
Questions and Answers
Stress is the restoring force per unit area and strain is the fractional change in dimension.
Stress is the restoring force per unit area and strain is the fractional change in dimension.
True
For small deformations, stress is directly proportional to the strain for many materials.
For small deformations, stress is directly proportional to the strain for many materials.
True
A class of solids called elastomers obeys Hooke’s law.
A class of solids called elastomers obeys Hooke’s law.
False
Shearing stress occurs when a pair of forces is applied parallel to the upper and lower faces of a solid.
Shearing stress occurs when a pair of forces is applied parallel to the upper and lower faces of a solid.
Signup and view all the answers
Three elastic moduli viz., Young’s modulus, shear modulus and bulk modulus are used to describe the elastic behaviour of objects as they respond to deforming forces that act on them. A class of ______ called elastomers does not obey Hooke’s law.
Three elastic moduli viz., Young’s modulus, shear modulus and bulk modulus are used to describe the elastic behaviour of objects as they respond to deforming forces that act on them. A class of ______ called elastomers does not obey Hooke’s law.
Signup and view all the answers
When an ______ is under tension or compression, the Hooke’s law takes the form F/A = Y∆L/L where ∆L/L is the tensile or compressive strain of the ______, F is the magnitude of the applied force causing the strain, A is the cross-sectional area over which F is applied (perpendicular to A) and Y is the Young’s modulus for the ______. The stress is F/A.
When an ______ is under tension or compression, the Hooke’s law takes the form F/A = Y∆L/L where ∆L/L is the tensile or compressive strain of the ______, F is the magnitude of the applied force causing the strain, A is the cross-sectional area over which F is applied (perpendicular to A) and Y is the Young’s modulus for the ______. The stress is F/A.
Signup and view all the answers
Stress is directly proportional to the ______ for many materials. This is known as Hooke’s law. The constant of proportionality is called modulus of elasticity.
Stress is directly proportional to the ______ for many materials. This is known as Hooke’s law. The constant of proportionality is called modulus of elasticity.
Signup and view all the answers
A pair of forces when applied parallel to the upper and lower faces, the ______ deforms so that the upper face moves sideways with respect to the lower. The horizontal displacement ∆L of the upper face is perpendicular to the vertical height L. This type of deformation is called shear and the corresponding stress is the shearing stress.
A pair of forces when applied parallel to the upper and lower faces, the ______ deforms so that the upper face moves sideways with respect to the lower. The horizontal displacement ∆L of the upper face is perpendicular to the vertical height L. This type of deformation is called shear and the corresponding stress is the shearing stress.
Signup and view all the answers
What type of stress is associated with stretching or compression?
What type of stress is associated with stretching or compression?
Signup and view all the answers
What is the constant of proportionality called in Hooke's law?
What is the constant of proportionality called in Hooke's law?
Signup and view all the answers
In Hooke's law, what does F/A represent?
In Hooke's law, what does F/A represent?
Signup and view all the answers
What type of deformation is characterized by the upper face moving sideways with respect to the lower face?
What type of deformation is characterized by the upper face moving sideways with respect to the lower face?
Signup and view all the answers
True or false: The tension at any cross-section A of the wire is just F and not 2F.
True or false: The tension at any cross-section A of the wire is just F and not 2F.
Signup and view all the answers
True or false: Young’s modulus and shear modulus are relevant only for solids since only solids have lengths and shapes.
True or false: Young’s modulus and shear modulus are relevant only for solids since only solids have lengths and shapes.
Signup and view all the answers
True or false: Bulk modulus is relevant for solids, liquid and gases.
True or false: Bulk modulus is relevant for solids, liquid and gases.
Signup and view all the answers
True or false: In daily life, a material which stretches more is considered to be more elastic.
True or false: In daily life, a material which stretches more is considered to be more elastic.
Signup and view all the answers
In the case of a wire, suspended from ceiling and stretched under the action of a weight (F) suspended from its other end, the force exerted by the ceiling on it is equal and opposite to the weight. However, the tension at any cross-section A of the wire is just F and not 2F. Hence, tensile stress which is equal to the tension per unit area is equal to ______.
In the case of a wire, suspended from ceiling and stretched under the action of a weight (F) suspended from its other end, the force exerted by the ceiling on it is equal and opposite to the weight. However, the tension at any cross-section A of the wire is just F and not 2F. Hence, tensile stress which is equal to the tension per unit area is equal to ______.
Signup and view all the answers
Hooke’s law is valid only in the linear part of stress-strain curve. 3. The Young’s modulus and shear modulus are relevant only for solids since only solids have ______ and shapes.
Hooke’s law is valid only in the linear part of stress-strain curve. 3. The Young’s modulus and shear modulus are relevant only for solids since only solids have ______ and shapes.
Signup and view all the answers
Bulk modulus is relevant for solids, liquid and ______. It refers to the change in volume when every part of the body is under the uniform stress so that the shape of the body remains unchanged.
Bulk modulus is relevant for solids, liquid and ______. It refers to the change in volume when every part of the body is under the uniform stress so that the shape of the body remains unchanged.
Signup and view all the answers
Metals have larger values of Young’s modulus than alloys and ______. A material with large value of Young’s modulus requires a large force to produce small changes in its length.
Metals have larger values of Young’s modulus than alloys and ______. A material with large value of Young’s modulus requires a large force to produce small changes in its length.
Signup and view all the answers
What is the correct statement about tensile stress in a wire under the action of a weight?
What is the correct statement about tensile stress in a wire under the action of a weight?
Signup and view all the answers
Which material property refers to the change in volume when every part of the body is under uniform stress?
Which material property refers to the change in volume when every part of the body is under uniform stress?
Signup and view all the answers
What is the correct statement about the elasticity of materials?
What is the correct statement about the elasticity of materials?
Signup and view all the answers
Which statement about the relationship between stress and strain is correct?
Which statement about the relationship between stress and strain is correct?
Signup and view all the answers
What is the stress on the rod?
What is the stress on the rod?
Signup and view all the answers
What is the elongation of the rod?
What is the elongation of the rod?
Signup and view all the answers
What is the strain on the rod?
What is the strain on the rod?
Signup and view all the answers
What is the correct formula to calculate the stress in the copper wire?
What is the correct formula to calculate the stress in the copper wire?
Signup and view all the answers
Which material property is relevant for describing the elastic behavior of elastomers?
Which material property is relevant for describing the elastic behavior of elastomers?
Signup and view all the answers
What is the correct formula to calculate the net elongation of the copper and steel wires when stretched by a load?
What is the correct formula to calculate the net elongation of the copper and steel wires when stretched by a load?
Signup and view all the answers
What is the amount by which each thighbone gets compressed under the extra load?
What is the amount by which each thighbone gets compressed under the extra load?
Signup and view all the answers
What is the stress on each thighbone due to the extra load?
What is the stress on each thighbone due to the extra load?
Signup and view all the answers
What is the correct formula to calculate the net elongation of the copper and steel wires when stretched by a load?
What is the correct formula to calculate the net elongation of the copper and steel wires when stretched by a load?
Signup and view all the answers
What is the shearing stress on the square lead slab?
What is the shearing stress on the square lead slab?
Signup and view all the answers
What is the displacement of the upper edge of the lead slab?
What is the displacement of the upper edge of the lead slab?
Signup and view all the answers
What is the shear modulus of the square lead slab?
What is the shear modulus of the square lead slab?
Signup and view all the answers
What is the fractional compression, ∆V/V, of water at the bottom of the Indian Ocean?
What is the fractional compression, ∆V/V, of water at the bottom of the Indian Ocean?
Signup and view all the answers
What is the bulk modulus of water?
What is the bulk modulus of water?
Signup and view all the answers
What is the average depth of the Indian Ocean?
What is the average depth of the Indian Ocean?
Signup and view all the answers
Study Notes
Stress and Strain
- Stress is the restoring force per unit area and strain is the fractional change in dimension.
- For small deformations, stress is directly proportional to strain for many materials.
Hooke's Law
- Hooke's law states that stress is directly proportional to strain for many materials.
- The constant of proportionality is called modulus of elasticity.
- The equation for Hooke's law is F/A = YΔL/L, where F is the magnitude of the applied force, A is the cross-sectional area, ΔL is the change in length, L is the original length, and Y is Young's modulus.
Elastic Moduli
- Three elastic moduli are used to describe the elastic behavior of objects: Young's modulus, shear modulus, and bulk modulus.
- Young's modulus is relevant for solids under tension or compression.
- Shear modulus is relevant for solids under shearing stress.
- Bulk modulus is relevant for solids, liquids, and gases under uniform stress.
Deformation Types
- Tensile stress is associated with stretching or compression.
- Shearing stress occurs when a pair of forces is applied parallel to the upper and lower faces of a solid.
- Shear deformation is characterized by the upper face moving sideways with respect to the lower face.
Elastic Behavior
- Metals have larger values of Young's modulus than alloys and elastomers.
- A material with a large value of Young's modulus requires a large force to produce small changes in its length.
- Elastomers do not obey Hooke's law.
Applications
- In a wire under tension, the tension at any cross-section is equal to the weight suspended from its end.
- The force exerted by the ceiling on the wire is equal and opposite to the weight.
Studying That Suits You
Use AI to generate personalized quizzes and flashcards to suit your learning preferences.
Description
Test your knowledge of stress and strain with this quiz. Explore the different types of stresses and their effects on materials. Learn about the relationship between stress and strain for small deformations.
