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A uniform beam (EI=constant ) PQ in the form of a quarter-circle of radius R is fixed at end P and free at the end Q, where a load W is applied as shown. The vertical downward displacement, δq, at the loaded point Q is given by:δq=β(wR3EI)Find the value of β (correct to 4-decimal places).0.7854

Answer» A uniform beam (EI=constant ) PQ in the form of a quarter-circle of radius R is fixed at end P and free at the end Q, where a load W is applied as shown. The vertical downward displacement, δq, at the loaded point Q is given by:

δq=β(wR3EI)

Find the value of β (correct to 4-decimal places).


  1. 0.7854


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