A 6mlong beam is subjected to a variety of loadings Replace

A 6-m-long beam is subjected to a variety of loadings. Replace each loading with an equivalent force-couple system at end B deft side of the beam. Assume the counter-clockwise (CCW) direction is positive. R = 440 M =- .56 N kN-m R = 120 N M = kN-m R = 740 N

Solution

A. R = 440N downwards and couple remains the same that is 560 N-m

B. R = 440-320 = 120 N downwards and M= 3140 - (440*6) = 500 N-m = 0.5 kN-m

C. R = 400+340 = 740 N downwards and M = 4240 + 3500-(440*6) = 5100 N-m = 5.1 kN-m