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Shear stress of beam

  1. Apr 12, 2009 #1
    1. The problem statement, all variables and given/known data


    Question 3: The beam is supported by a pin at A and a short link BC, as shown in Figure 3.0. Determine the maximum magnitude P of the loads the beam will support if the average shear stress in each pin is not to exceed 80 MPa. The diameter for each of the pins is 18 mm.

    http://img13.imageshack.us/img13/7517/chibusq3.jpg [Broken]

    2. Relevant equations



    3. The attempt at a solution

    http://img5.imageshack.us/img5/1824/chibus1.jpg [Broken]
    http://img13.imageshack.us/img13/9589/chibus2.jpg [Broken]

    I just wanted to get an idea if i'm way off. Really I don't know how to proceed past finding the required shear force in the pins to shear them.

    PS: Sorry for my horrible english and writing skills.
     
    Last edited by a moderator: May 4, 2017
  2. jcsd
  3. Apr 13, 2009 #2

    PhanthomJay

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    Hello, Chibus, welcome to PF! You are making an error in assuming that there is a support reaction B_y at joint B. There is no external support there. B_y is just the vertical component of the force in the link. Don't add it in twice. Otherwise, your method looks OK, and you should be able to solve for P when you eliminate that extra term. Also, be sure to check that the pin at A does not control the design.
     
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