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Engineering problem on lateral force to a simple portal frame

  1. Mar 21, 2012 #1
    1. The problem statement, all variables and given/known data
    A single story single bay building model has fixed fixed columns and a rigid beam. the total length of each aluminum column is 24 in. tall by 4 in wide and 32/1000 in thick. the plexiglas beams used for the base and top story are 12 in wide 4 in deep and .5 in thick.

    a. Determine the lateral stiffness

    b. Determine the maximum load V that can be applied at the top of the frame so that the columns do not yield

    c. What is the corresponding deflection that the frame can withstand
    2. Relevant equations
    k=(12EI)/L3
    I=(bh3)/12
    σ=33 ksi
    σ=(M(thickness/2))/I
    M=V(x)-V(L/2)
    E=10.4x106 psi

    3. The attempt at a solution
    I=1.09x10-5 in.4
    k=.197 lb/in.
    so this is the answer to a.
    M=22.48 per beam
    so total MT[/SUB=45 lb in.
    V=3.74 lb
    so this is the answer to b
    Δ=20.95 in
    answer to c
     
  2. jcsd
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