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  1. Home/
  2. krishna PEDDIBHOTLA NAGA VENKATA SAIKRISHNA TEJA/
  3. Calculation of Stiffness in Structural elements

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 Elb = Elc   Answer:   From the above formula For fixed support substitute alpha = 1 and k = 2 ; L = h K1 = (6(1)+2)24EI)/((6(1)+4(2)h3)…

    • krishna PEDDIBHOTLA NAGA VENKATA SAIKRISHNA TEJA

      updated on 30 Mar 2021

     

     

     

    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 Elb = Elc  

    Answer:

     

    From the above formula

    For fixed support

    substitute

    alpha = 1 and k = 2 ; L = h

    K1 = (6(1)+2)24EI)/((6(1)+4(2)h3)

    K1 = (8*24EI)/(14h3)

    K1 = 96/7(EI/h3)

     

     

     

     

    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

    Answer:

     

     

     

     

     

     

     

     

     

     

     

     

     

     

     

    Question 3:

    Consider the propped cantilever shown in the figure below. The beams are made from the same steel section and have lengths as shown on the diagram. Determine the natural period of this system if a large mass, M, is placed at the intersection of the beams at point A. The weight of the beams in comparison with the mass M is very small.

    Answer:

     

     

     

     

     

     

     

     

     

     

     

     

     

    Question 4

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

    Answer:

     

     

     

     

     

     

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