- #1

SamuelGompers

- 1

- 0

## Homework Statement

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

## Homework Equations

k=(12EI)/L

^{3}

I=(bh

^{3})/12

σ=33 ksi

σ=(M(thickness/2))/I

M=V(x)-V(L/2)

E=10.4x10

^{6}psi

## 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 M

_{T[/SUB=45 lb in. V=3.74 lb so this is the answer to b Δ=20.95 in answer to c}