u/Fun_Curve_6727

questions about determinacy in structural analysis

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

https://preview.redd.it/tbnuv9sddw0h1.png?width=667&format=png&auto=webp&s=2ba3c93b288a4f75022321a2cc3a9cbc4059ea4b

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

https://preview.redd.it/uzlzg1hfdw0h1.png?width=570&format=png&auto=webp&s=2e23bb86b6fd34861ede7f0a62c3ea66ca37bef9

pic 2 above

truss, n=21 r=4 j=10

D = 21 + 4 = 2*10 = 5, stable indeterminate

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u/Fun_Curve_6727 — 1 day ago