Calculation of Stiffness in Structural elements

Question 1:

Compute lateral stiffness of the one story frame with an intermediate realistic stiffness of the beam. The system has 3 DOFs as shown. Assume L = 2h and El_b = El_c

ANSWER-

Question 2:

For the following structures:

• Determine the number of degrees-of-freedom for dynamic analysis
• Establish the equation of motion
• Calculate their natural frequencies.

(a)

(b)

Question 3-

Question 4

Determine an expression for the effective stiffness of the following systems.

REFERENCE FIGURE FOR CALCULATION OF LATERAL STIFFNESS (K)-