Question

tne Hoss. A ssume ha dliag omls cans or pre ssine Sofce Determine Capproneler tha farce cach nembar of agenals can suppart eithar a tensile. ek com

Answer 1

Let Va and Vd be vertical reactions at Support A and D.

so, Va + Vd = 4+8+8+4 = 24

Now moment about A = 0

so, Vd*60 - 4*60 - 8*40 - 8*20 - 3*20 = 0

i.e, Vd = 780/60 = 13 k (upwards)

so, Va = 24 - 13 = 11 k (upwards)

As Hinge support is only at A, so it will resist horizontal support.

so, Ha = 3 k (towards left)

Now to calculate force in each element we will take each joint one by one.

Member	Force (K)	Nature (Compression/Tension)
AH	11	C
AB	3	T
AG	0
HG	8.7	C
BG	8	C
BH	9.9	T
GC	0
BF	11.31	T
GF	8.7	C
BC	8	C
FC	16.7	C
FD	12.3	T
CE	0
FE	8.7	C
CD	8	C
DE	4	C