- #1

sol_angel187

- 5

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We were assigned to design a beam made of luam plywood out of a sheet 24" x 8" x 1/4". I decided to cut the plywood into (4) 2" pieces and use wood glue to glue them together so it's dimensions are 1"x2"x24". The assignment is to to say how far the beam will deflect, and what load will cause the beam to fail. We will test it in class on a machine. It will be simply supported on each end and a load will be placed in the center.

So, the formula I think I need to use for deflection is

D=P(L^3)/48EI

d= deflection

p= load

l= length

e= modulus of elasticity

I= moment of inertia

I=b(d^3)/12

b=base

d=depth

so I= (1)(2^3)/12=.667

I found the modulus of elasticity for luam plywood on the internet (after an hour of looking) and it is 1,500,000

L= 24

so I know I, E, and L, but I still have two unknowns, P and D. The problem is I don't know another fomula to figure out what P is. I'm going slightly crazy because I can't find it in the book, and I've been looking online for a long time. I'd really appreciate it if someone could point me in the right direction! thanx!