In: Mechanical Engineering
I assume that the beams looks like the following image
For this beam the stress acting at the loaded point can be found by using the following formula
Stress = Load / area
Load = 40 lb (given)
Area = 2*0.5 (given)
Therefore area = 1 in^2
stress = 40/1
= 40 lb/in^2
Deflection at center of the beam:
Formula for deflection of the given beam is
Moment of inertia Ixx = bh^3/12
= 2x0.5^3/12
= 0.02083 in^4
By substituting all the values like P=40lb,E=300000000psi,area,x=24, L=48inch, a=6inch
maximum deflection will be at center so x=24,
therefore the maximum deflection at center is 0.010743 in