Calculate Maximum Stress in Pipe AB and Rod BC Shaft

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SUMMARY

The discussion focuses on calculating the maximum stress in a built-up shaft consisting of a pipe AB and a solid rod BC. The pipe has an inner diameter of 20 mm and an outer diameter of 28 mm, while the rod has a diameter of 12 mm. To determine the maximum stress, participants are advised to draw free body diagrams for both the pipe and the rod to identify the internal forces and calculate the axial stresses using the formula stress = F/A. It is emphasized that the force value of 12N is incorrect for this calculation.

PREREQUISITES
  • Understanding of axial stress calculations
  • Knowledge of free body diagram techniques
  • Familiarity with cross-sectional area calculations
  • Basic principles of mechanics of materials
NEXT STEPS
  • Calculate the cross-sectional area of the pipe AB using the formula A = π/4 * (D_outer^2 - D_inner^2)
  • Determine the internal force in the pipe AB from the free body diagram
  • Calculate the cross-sectional area of the rod BC using the formula A = π/4 * D^2
  • Compare the axial stresses in both the pipe and the rod to identify the maximum stress
USEFUL FOR

Mechanical engineers, structural analysts, and students studying mechanics of materials who are involved in stress analysis of shafts and rods.

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The built-up shaft consists of a pipe AB and solid rod BC. The pipe has an inner diameter of 20 mm and outer diameter of 28 mm. The rod has a diameter of 12 mm. Determine the maximum stress in the shaft.

I have stress=V/A

I picked 12N as V

and Aream I am confused

any help?
 

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If you draw a free body diagram of the pipe that encircles A and cuts through D, what is the internal force in the pipe? If you draw a free body diagram of the rod that encircles C and cuts through E, what is the internal force in the rod? Once you determine these forces, the axial stresses follow from F/A evaluated for each piece, and then compare the two to see which is higher. You should be able to calculate the cross section areas of each piece. Note that 12N is not the corrrect force to use.
 

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