Consider the rectangular simply supported beam shown in Figu

Consider the rectangular simply supported beam shown in (Figure 1) . The beam is made of wood having a modulus of elasticity of E = 1.5(10³) ksi. Suppose that P = 750 lb .

Determine the maximum deflection of the beam.

Express your answer using three significant figures and include the appropriate units. Enter positive value if the deflection is upward and negative value if the deflection is downward.

Problem 12.26 Consider the rectangular simply supported beam shown in (Figure 1). The beam is made of wood having a modulus of elasticity of E 1.5(103) ksi. Suppose that P 750 lb Figure 1 of 1 6 in. 3 in 8 ft 4 ft Part A Determine the maximum deflection of the beam. Express your answer using three significant figures and include the appropriate units. Enter positive value if the deflection is upward and negative value if the deflection is downward vmax Value Units Submit My Answers Give Up incorrect; Try Again; 9 attempts remaining Provide Feedback Continue

Solution

Given,

E = 1.5 ksi = 10.3421 kPa

P = 750 lbs = 3336.17 N

L₁ = 8 inch = 0.2032 m

L₂ = 4 inch = 0.1016 m

I = (0.076)*(0.152)^3/12

= 22.4765*10^-6

3336.17*0.2032 – F_b*0.3048 = 0

F_b = 2224.1133 N

3336.17*0.1016 – F_a*0.3048 = 0

F_a = 1112.0567 N

b = (1112.0567*0.2032)*0.0762/(22.4765*10^-6)

= 766.085 kPa

defelection = - [3336.17*0.1016*(3*0.3048^2-4*0.1016^3)]/[48*10.3421*10^3*22.4765*10^-6]

= - 7.2124 m