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In a material, if the strain energy density is given by U, what is the expressio
In a material, if the strain energy density is given by U, what is the expression for the total strain energy stored in a volume V of the material?
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Q1
In a material, if the strain energy density is given by U, what is the expression for the total strain energy stored in a volume V of the material?
U * V
U / V
U + V
U - V
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The total strain energy stored in a volume V is given by the product of strain energy density U and volume V, i.e., Total Energy = U * V.
Questions & Step-by-step Solutions
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Q
Q: In a material, if the strain energy density is given by U, what is the expression for the total strain energy stored in a volume V of the material?
Solution:
The total strain energy stored in a volume V is given by the product of strain energy density U and volume V, i.e., Total Energy = U * V.
Steps: 4
Show Steps
Step 1: Understand what strain energy density (U) means. It is the energy stored in a material per unit volume due to deformation.
Step 2: Identify the volume (V) of the material where the strain energy is stored.
Step 3: To find the total strain energy, you need to multiply the strain energy density (U) by the volume (V).
Step 4: Write the expression for total strain energy: Total Energy = U * V.
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