Please help with D, E, and F. Thank you Given: An 8 foot long 2"x4" wood compression member in a truss. Use the actualdimensions of 1.5" x 3.5". Assume that the end conditions are ideal pins. The modulus ofelasticity of the wood is E=1.6x10°psi. The compressive strength of the wood is 5,400 psi.Find:Euler buckling stress =Euler buckling loadII²E(L/r)II²EA(L/r)²radius of gyration =bh³12-√I=.1.5in3.5in d. The ratio of the buckling load to the compressive strength if buckling is preventede. What is the buckling load if the member is braced against buckling at its midpoint (4ft) onits weak axis only?f. What is the buckling load if the member is braced against buckling at its midpoint on bothits weak and strong axes?

Answered: The ratio of the buckling load to the…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

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Please help with D, E, and F. Thank you

Given: An 8 foot long 2"x4" wood compression member in a truss. Use the actual
dimensions of 1.5" x 3.5". Assume that the end conditions are ideal pins. The modulus of
elasticity of the wood is E=1.6x10°psi. The compressive strength of the wood is 5,400 psi.
Find:
Euler buckling stress =
Euler buckling load
II²E
(L/r)
II²EA
(L/r)²
radius of gyration =
bh³
12
-√
I=.
1.5in
3.5in

d. The ratio of the buckling load to the compressive strength if buckling is prevented
e. What is the buckling load if the member is braced against buckling at its midpoint (4ft) on
its weak axis only?
f. What is the buckling load if the member is braced against buckling at its midpoint on both
its weak and strong axes?

Expert Solution

Step 1

To Find :

The ratio of the buckling load to the compressive strenght if buckling is prevented,

Given :

The modulus of elasticity of the wood is $E = 1.6 \times 10^{6} psi$

The compressive strenght of the wood is $σ_{c} = 5400 psi$

Formula :

The Eular buckling stress $= \frac{π^{2} E}{{(\frac{L}{r})}^{2}}$

The radius of gyration is, $k = \sqrt{\frac{I}{A}}$

The eular buckling load is $= \frac{π^{2} EA}{{(\frac{L}{r})}^{2}}$

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