Use the principle of Strain energy due to direct stressesChapter 8 strain energy due to direct stressesStrength of materials 2And clarify the part the part of the maximum amount of energy 11 A rod of a certain material is 50 mm in diameter for the first 100 mm and 25 mm in diameter forthe next 100 mm. Calculate the diameter of a rod of the same material 200 mm long which will beable to absorb the same maximum amount of energy as the first rod. Given that the yield strengthfor the material of the rod is 300 MPa, calculate the maximum amount of energy which could beabsorbed by the stepped rod. (Take E as 200 GPa.)

Given data:Rod 1:Diameter, D1 = 50 mm = 0.05 m for first 100 mm lengthL1 = 100 mm = 0.1 mDiameter,…

Answered: 1 A rod of a certain material is 50 mm…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

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Use the principle of Strain energy due to direct stresses Chapter 8 strain energy due to direct stresses Strength of materials 2 And clarify the part the part of the maximum amount of energy

11 A rod of a certain material is 50 mm in diameter for the first 100 mm and 25 mm in diameter for
the next 100 mm. Calculate the diameter of a rod of the same material 200 mm long which will be
able to absorb the same maximum amount of energy as the first rod. Given that the yield strength
for the material of the rod is 300 MPa, calculate the maximum amount of energy which could be
absorbed by the stepped rod. (Take E as 200 GPa.)

Expert Solution

Step 1: List the given data

Given data:

Rod 1:

Diameter, D₁ = 50 mm = 0.05 m for first 100 mm length

L₁ = 100 mm = 0.1 m

Diameter, D₂ = 25 mm = 0.025 m for next 100 mm length

L₂ = 100 mm = 0.1 m

Rod 2 length, L = 200 mm

Yield strength, $straight sigma subscript straight y$ = 300 MPa = 300 $cross times$ 10⁶ N/m²

Elastic modulus (E) = 200 GPa = 200 $cross times$ 10⁶ N/m²

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