A propped cantilever beam is loaded as shown. Assume $EI = 44 imes 10^6$ kip-in.$^2$. Determine: (a) the reactions at B and C for the beam. (b) the beam deflection at A. Note, Retain extra digits on intermediate answers to avoid round off error in final answer throughout this problem. Assume $L_{AB} = 8$ ft, $L_{BC} = 21$ ft, $w = 9$ kips/ft, $P = 40$ kips. Choose the reaction force at B as the redundant. This leaves a cantilever for the released beam. Determine the deflection of the cantilever at B due to the distributed load $w = 9$. Answer: $v_{Bw} =$ in.
Added by Robert P.
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First, we need to calculate the total load on the beam. The distributed load over the entire length of the beam (L_AB + L_BC = 8 ft + 21 ft = 29 ft) is w * (L_AB + L_BC) = 9 kips/ft * 29 ft = 261 kips. The total load is then the sum of this distributed load and Show more…
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