
Inclined Beam  Solving for Reaction forces  
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Posted by: aimeceleste ^{®} 12/15/2006, 14:02:58 Author Profile eMail author Edit 
Imagine a beam at an incline, with a concentrated load at the halfway point along the beam. The beam is pinned at the either end, with no other supports. How do I solve for the reactions? I tried imagining it as a truss, but since it's not loaded at a joint, that falls apart quickly. And I don't think that the vertical reactions are equal to half the load at the halfway point  if I try solving it that way, I get the horizontal reactions are zero, and that doesn't make sense. You would expect that there would be some horizontal component of the force due to the fact that the member is at an angle. I am an engineering student, and I am pretty frustrated by an apparently simple problem. Thanks for your help. 
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Re: Inclined Beam  Solving for Reaction forces  aimeceleste  Post Reply  Top of thread  Forum 
Posted by: stewart ^{®} 12/20/2006, 17:19:48 Author Profile eMail author Edit 
I'm not in the mood to think too hard, but I believe you have a two force member (reactions at each end are equal) pinned as it is. This should help close in on the variables vs equations. Stewart Modified by stewart at Wed, Dec 20, 2006, 17:23:01 
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Re: Inclined Beam  Solving for Reaction forces  
Re: Inclined Beam  Solving for Reaction forces  aimeceleste  Post Reply  Top of thread  Forum 
Posted by: zekeman ^{®} 12/16/2006, 15:06:16 Author Profile eMail author Edit 
Hint: First, try doing a problem where the load is axial. How many equations can you write? How many variables. Can't do it ? Indeterminate? Why? 
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Re: Inclined Beam  Solving for Reaction forces  aimeceleste  Post Reply  Top of thread  Forum 
Posted by: Kelly Bramble ^{®} 12/16/2006, 08:07:26 Author Profile eMail author Edit 
Solve it using vector techniques (for the applied load). 
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Re: Re: Inclined Beam  Solving for Reaction forces  Kelly Bramble  Post Reply  Top of thread  Forum 
Posted by: swearingen ^{®} 12/18/2006, 07:19:20 Author Profile eMail author Edit 
Also, remember that if the supports are at the centerline of the beam (i.e., the centroid of the beam lies on a line that can be drawn between the supports), the vertical reactions at the ends will always be equal, no matter what the angle. 
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