Question

a 20ft cantilever beam is shown in the figure below.
A__10ft__B__10ft__C
Load w1 = 200lb, w2 = 500lb, or both may be appled at the mid point B or at the end of the beam C. The bending moment incuded at the fixed support A(mA), will depend on the maginutes of the loads at B and C.

Determine the sample space of A?

Answer 1

Sample space A has means here bending moments at A which contains 3 possibilities;
1. when only w1 is applied at B
2.when only w2 is applied at c
3. When both loads are applied.

Answer 2

So now
1 when only w1 is there bending moment = (w1)*l=200*10=2000lb-ft
2. when only w2 is there bending moment = (w2)*l=500*20=10000lb-ft
3. when both then b.m. = 2000 + 10000 = 12000 lb-ft
so S={ 2000, 10000, 12000}