Deflection of fixed beam with point load at center

  • Thread starter blake92
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i have a 20.5ft c3x5 steel channel with a point load at the exact center and i wanted to determine its maximum deflection.

the point load is 921.86lbs, and moment of inertia is 1.86in^4.

modulus of E= 30,000,000psi
 

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PhanthomJay
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i have a 20.5ft c3x5 steel channel with a point load at the exact center and i wanted to determine its maximum deflection.

the point load is 921.86lbs, and moment of inertia is 1.86in^4.

modulus of E= 30,000,000psi
if the beam is truly fixed against rotation at both ends, max deflection occurs at midpoint and is equal to PL^3/192EI , or near an inch and a half for your load and beam length and size. But, you have to be careful using long channels because stresses may be excessive if the beam is not laterally supported against local flange buckling, and loading not at the shear center causes additional torsional and warping stresses. If the beam is simply supported, stresses double and deflection increases fourfold. Seems like a very flimsy channel to use for this loading. Allowable stress is a great concern.
 

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