Understanding the concepts on Degrees of Freedom

1)

Similarly

M{2} = 3.861m

M{3} = 3.861m

M{4} = 3.861m

M{5} = 3.861 m

L{1} = 4.121m

Similarly

L{2} = - 1.29m

L{3} = 0.68m

L{4} = 0.381m

L{5} = 0.175m

Tn=Ln/Mn

T{1] = 4.12/3.86

T{1} = 1.067

Similarly :

T{2} = - 0.336

T{3} = 0.177

T{4} = 0.009

T{5} = 0.045

Mn = Ln^2/Mn

Participating ratio= Mn/Mi

Mi = 5m

M{1} = 4.398 m

Participating ratio = 0.8796

Similarly:

M{2}= 0.435m

Participating ratio = 0.087

M{3}= 0.121m

Participating ratio = 0.0242

M{4}=0.037 m

Participating ratio = 7.4 x 10-3

M{5}= 0.008m

Participating ratio = 1.6 x 10-³

2)

Vb1 = M₁* A₁

Vb1 = 1.1874 m

similarly :

Vb2 = 0.3306m

Vb3 = 0.12463m

Vb4 = 0.3811m

Vb5 = 8.24 x 10-³m

As per SRSS Method:

overline b = sqrt [(1.1874)^ 2 +(0.3306)^ 2 +(0.12463)^ 2 +(0.3811)^ 2 +(0.00824)^ 2]

V{b} = 1.457m