
questions about determinacy in structural analysis
can someone verify my calculations please? i'm a bit confused, thank you
my methodology:
n = no of members, r = no of reactions, j = no of joints, c = sum of [no of members meeting at a hinge - 1]
D of frames = 3n + r - 3j - c
D of trusses = n + r - 2j
pic 1 above
top left:
frame, n=2, r=3, j=3, c=0
D = 3*2 + 3 - 3*3 = 0, stable determinate
top right:
truss, n=14, r=4, j=10
D = 14 + 4 - 2*10 = -2, unstable
bottom left:
truss, n=10 r=4 j=7 c=13
D = 3*10 + 4 - 3*7 - 13 = 0, stable determinate
bottom right:
frame, n=5, r=6, j=5, c=3
D = 3*5 + 6 - 3*5 - 3 = 3, stable indeterminate
pic 2 above
truss, n=21 r=4 j=10
D = 21 + 4 = 2*10 = 5, stable indeterminate
u/Fun_Curve_6727 — 1 day ago