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Match the following columns. {:(,"Col...

Match the following columns.
`{:(,"Column I",,"Column II"),((A),"Longitudinal stress",(p),"Volume changes"),((B),"Shear stress",(q),"Shape change"),((C),"Volumetric stress",(r),"Volume does not changes"),((D),"Tensile stress",(s),"Shapes does not change"):}`

A

`{:(A,B,C,D),("p,s","q,r","p,s","p,s"):}`

B

`{:(A,B,C,D),("q,r","p,s","p,s","p,s"):}`

C

`{:(A,B,C,D),("p,s","p,s","q,r","p,s"):}`

D

`{:(A,B,C,D),("p,s","p,s","p,s","q,r"):}`

Text Solution

AI Generated Solution

The correct Answer is:
To match the items in Column I with those in Column II, we need to analyze the types of stresses and their effects on volume and shape. ### Step-by-step Solution: 1. **Identify Longitudinal Stress (A)**: - Longitudinal stress is defined as the stress that occurs when a material is subjected to an axial load. - This stress typically results in a change in volume as the material is stretched or compressed. - **Match**: A matches with (p) Volume changes. 2. **Identify Shear Stress (B)**: - Shear stress occurs when a tangential force is applied to a material, causing it to deform by sliding layers past one another. - This type of stress primarily leads to a change in shape without a significant change in volume. - **Match**: B matches with (q) Shape change. 3. **Identify Volumetric Stress (C)**: - Volumetric stress is the stress that affects the volume of a material, typically when pressure is applied uniformly in all directions. - While volumetric stress can lead to changes in volume, the shape of the object remains unchanged. - **Match**: C matches with (p) Volume changes and (r) Shape does not change. 4. **Identify Tensile Stress (D)**: - Tensile stress is a type of stress that occurs when a material is pulled apart. - Similar to longitudinal stress, tensile stress results in a change in volume while the shape remains unchanged. - **Match**: D matches with (p) Volume changes and (r) Shape does not change. ### Final Matches: - A (Longitudinal stress) → p (Volume changes) - B (Shear stress) → q (Shape change) - C (Volumetric stress) → p (Volume changes) and r (Shape does not change) - D (Tensile stress) → p (Volume changes) and r (Shape does not change) ### Summary of Matches: - A → p - B → q - C → p, r - D → p, r
To match the items in Column I with those in Column II, we need to analyze the types of stresses and their effects on volume and shape. ### Step-by-step Solution: 1. **Identify Longitudinal Stress (A)**: - Longitudinal stress is defined as the stress that occurs when a material is subjected to an axial load. - This stress typically results in a change in volume as the material is stretched or compressed. - **Match**: A matches with (p) Volume changes. ...
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