1. This column is made out of timber with an allowable stress of $1,200 \text{ lb/in}^2$ and Modulus of Elasticity of $1,500 \text{ k/in}^2$. The sculpture weighs 3 kips.
Use a safety factor of 1.25 for all calculations. Assume k=2.
Moment of Inertia of a solid circle is $\pi d^4/64$
What minimum diameter should the column be?
Hint : It should not fail due to crushing or due to buckling.
2. (25 pts) What diameter would it require if it were made of steel?
$F_Y = 36 \text{ k/in}^2$ E = $29,000 \text{ k/in}^2$
3. This column is made out of timber with an allowable stress of $1,300 \text{ lb/in}^2$ and Modulus of Elasticity of $1,500 \text{ k/in}^2$. The coffee weighs 5 kips.
Use a safety factor of 2. Assume k=2.
Should the owner be worried about the column failing?
4. This diagonal brace has to withstand a compressive load of 20k. Select an economical W-Section from the AISC shapes database to use.
$F_Y = 50 \text{ ksi}$
E = $29,000 \text{ ksi}$
$\Omega = 1.25$