Equations

Hmmm sounds a lot like a home work problem.....

Each reaction has a force and moment equation... but that is all I am giving you until you prove it is no homework..

Hi This is not a home work problem.I swear.

Ilooked into roark but I didn't get example similar to mine.

thanks a lot

Look it up in Ruark "Formulas for stress and strain" any edition.

profsteam

hi,

if i am not wrong. there may be any deflection on the beam so that we know the value delfection so that with the integaration we can find the moment.

as per Newton's third law there equal reaction will act opposite to force ( load)

If you swear it is not a homework problem, give us some more background. Why are you doing this, what is the purpose, what is the configuration.

A picture or drawing would help as well, use the little camera icon in the post entry box to upload.

The problem you describe is indeterminate to the first degree. That means it cannot be solved by the principals of statics alone. You must introduce one equation derived from strain compatibility.

Method 1

Say End A is hinged and End B is fixed. First, consider the beam as a simple span hinged at each end. Calculate the reactions at A and B. Calculate rotation at B due to simple span loading.

Now place a unit moment at B. Calculate rotation at end B due to unit moment. Determine fixed end moment required to remove rotation at end B. Add M/L to fixed end and -M/L to the hinged end.

Method 2

Consider cantilever fixed at B and free at A. Calculate deflection at A due to applied loading.

Now place a unit load at A and calculate deflection due to unit load. The reaction at A is the load required to reduce deflection at end A to zero.

Method 3

Consider beam fixed at end A and B (two degrees of indeterminacy). Determine end moments and reactions for applied loading on fixed ended beam from Roark or similar source.

Now release the moment at A. Fifty percent of that moment will be transferred to end B if the beam is a prismatic section.

Method 4

Use a computer program with one end fixed, one end hinged and get the reactions directly.