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I know that the answer is 240 MPa(34,800 psi). But not sure how to work it out?

ID: 1860227 • Letter: I

Question

I know that the answer is 240 MPa(34,800 psi). But not sure how to work it out?

What is the maximum normal stress in the rectangular beam in the figure:

rectangular beam=2cm x 5cmshaft= 5cm diameter

L1=2m=steel shaft

L2=1m=rectangular beam

The steel shaft is connected to a wall and the other end is connected at a 90 degree turn to the right to the rectangular beam, the force is at the end of the rectangular beam going down.



What is the maximum normal stress in the rectangular beam in the figure above is: rectangular beam - - 2 cm times 5 cm (0.787" times 1.97") shaft - - 5 cm (1.97") diameter F = 2000 N (450 lb) L1 = 2 m (6.56 ft) L2 = 1 m (3.28 ft)

Explanation / Answer

we know that

pressure, P = (force/area) = (F/A)

or F = P x A

where P = 240 MPa = 240 x 10^6 Pa and A = 2 x 5 cm^2 = 10 cm^2 = 10 x 10^-4 m^2

the force acting on the steel shaft is

F1 = m x g x sinA

where m is mass of beam,g = 9.8 m/s^2 and A = 90o