Challenge

Calculation of Stiffness in Structural elements

Ans:-

Given DOF is 3

therfore, the laterial stiffness of the frame is given by K

k=96*EIc/(7h^3)

Ans:-

a) DOF = 1

Equation of motion is mü+ku=0

natural frequency fn = √3EI/(2π√mh^3)

b) DOF = 1

Equation of motion is mü +ku=0

Natural frequency fn =√27EI/(2π√mh^3)

Ans:-

K=Kc+Kb

.'. K=3EI(1/Lc^3+16/Lb^3)

Wn=√(k/m)

time period Tn = 2π/Wn

Tn = 2π√m/√3EI(1/Lc^3+16/Lb^3)

Ans:-

Effective stiffness of the given images are

a) K= 3EI/H^3.

b) K= 3EI/H^3 + 3EI/H^3 = 6EI/H^3

c) K= 12EI/H^3 + 12EI/H^3 = 24EI/H^3

Ship work like this
in your own course.