An engineer determines that a 60 cm long rod of 1045 HR grade of steel will be subjected to a tension of 20kN. The following two designs requirements must be met: must remain below 145MPa and the rod must stretch less than 0.125mm. Determine an appropriate value for the rod's diameter to meet these two requirements. Round to the nearest milimeter

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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An engineer determines that a 60 cm long rod of 1045 HR grade of steel will be subjected to a tension of 20kN. The following two designs requirements must be met: must remain below 145MPa and the rod must stretch less than 0.125mm. Determine an appropriate value for the rod's diameter to meet these two requirements. Round to the nearest milimeter

Expert Solution
Step 1

Given Data

  • Length of the rod is: L=60 cm=600 mm
  • Tensile load is: P=20 kN=20000 N
  • Maintained stress is: σm=145 MPa
  • Stretched length of the rod is: L=0.125 mm

The modulus of elasticity is: 200 GPa

The diameter of the rod to maintain the stress below 145 MPa is

σ<145PA<1454×20000πd2<145d2>175.61d>13.25 mm

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