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What is the total, external and internal indeterminacy of the structure shown below?

What is the total, external and internal indeterminacy of the structure shown below? Correct Answer Total 1; External 2; Internal (-1)

External indeterminacy (Dse) = R – r

Where,

R = Number of external reactions

r = Number of static equilibrium equations available

As shown in the figure below,

[ alt="F1 N.M Madhu 11.03.20 D7" src="//storage.googleapis.com/tb-img/production/20/03/F1_N.M_Madhu_11.03.20_D7.png" style="width: 225px; height: 167px;">

R = 5 and r = 3 (ΣFx = 0, ΣFy = 0, ΣMz = 0).

Ds = 5 – 3 = 2

Internal indeterminacy (Dsi) = 3C - rr

Where, C = Number of closed loops = 0, rr = Number of reactions released at a hybrid joint = m – 1

m = Number of members meeting at a joint = 2

rr = 2 – 1 = 1

Dsi = 0 – 1 = -1

Total static indeterminacy = External indeterminacy + internal indeterminacy

Ds = 2 + (-1) = 1

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