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Problem_Set_7key_2007 - σ = Mc/I I = π d 4/64 = 3.07x10-3...

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Problem Set 7 Dieter Exercise 8.21 A plastic beam [6-in. diameter], used to haul small loads into a loft, extends 8 ft in the horizontal plane from the building. If the beam is made from glass-reinforced PET, how much would the beam deflect on a 23 º C day when hauling up a 900-lb load? Hint: Use the appropriate information in Problem 8.15 and data in Figure 8.33. ***************************************************** ***M = PL = 900#*8 feet = 7200 ft-# = 86400 in-lbs
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Unformatted text preview: σ = Mc/I I = π d 4 /64 = 3.07x10-3 ft 4 , = 63.6 in 4 , c = 0.25 feet [6 inches/2] σ = 86499*3/63.6 = 4075 psi [28.0 MPa] δ = PL 3 /3E a I, 900*(8*12)/[3*63.6*E a ] = 41.7x10 5 /E a Since E a = σ / ε , where σ = 4075 psi and ε from Figure 8.33 ~ 0.5%, E a ~ 4075/0.005 = 0.815x10 6 , δ = 41.7x10 5 /8.15x10 5 = 4.9 inch Note that this assumes that it takes an hour to haul the thing up. ......
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