Question

(1 point) A simply supported steel beam shown below Click on the image to enlarge is 64 inches long is designed to carry a load of 500 pounds in the center. It has a solid box cross-section as shown b Click on the image to enlarge where b = 2.25 inches and h = 6 inches. Steel has the following material properties: Modulus of Elasticity = 30x10 psi and Density = 490 lbmlft. Determine the moment of inertia, deflection, volume, and weight of the beam. = in. Deflection = inches. Volume = in. Weight = lbs.

Answer 1

From given data

P=500 lb L=64 in, b= 2.25 in, h= 6 in

,
490 3 p=4901b/ft3 1231b/in

p=0.28361b/in

Step1

$I= \frac{bh^{3}}{12}$

$I = \frac{2.25*6^{3}}{12}$

Step 2

For simply supported beam with point load at centre, maximum deflection is

$Deflection = \delta ^{_{max}}= \frac{P L^{3}}{48EI}$

$Deflection = \delta ^{_{max}}= \frac{500* 64^{3}}{48EI}$

Step 3

Step 4

$Weight Density = \frac{Weight}{Volume}$