A flanged wooden shape is used to support the loads shown on the beam. The dimensions of the shape are shown in the second figure. Assume LAB = 8 ft, LBC = 4 ft, LCD = 4 ft, LDE = 4 ft, PC = 2150 lb, PE = 2000 lb, wAB = 800 lb/ft, b1 = 8 in., b2 = 2 in., b3 = 4 in., d1 = 2 in., d2 = 11 in., d3 = 2 in. Consider the entire 20-ft length of the beam and determine: (a) the maximum tension bending stress σT σ T at any location along the beam, and (b) the maximum compression bending stress σC σ C at any location along the beam.
A flanged wooden shape is used to support the loads shown on the beam. The dimensions of the shape are shown in the second figure. Assume LAB = 8 ft, LBC = 4 ft, LCD = 4 ft, LDE = 4 ft, PC = 2150 lb, PE = 2000 lb, wAB = 800 lb/ft, b1 = 8 in., b2 = 2 in., b3 = 4 in., d1 = 2 in., d2 = 11 in., d3 = 2 in. Consider the entire 20-ft length of the beam and determine: (a) the maximum tension bending stress σT σ T at any location along the beam, and (b) the maximum compression bending stress σC σ C at any location along the beam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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A flanged wooden shape is used to support the loads shown on the beam. The dimensions of the shape are shown in the second figure. Assume LAB = 8 ft, LBC = 4 ft, LCD = 4 ft, LDE = 4 ft, PC = 2150 lb, PE = 2000 lb, wAB = 800 lb/ft, b1 = 8 in., b2 = 2 in., b3 = 4 in., d1 = 2 in., d2 = 11 in., d3 = 2 in. Consider the entire 20-ft length of the beam and determine:
(a) the maximum tension bending stress σT
σ
T
at any location along the beam, and
(b) the maximum compression bending stress σC
σ
C
at any location along the beam.
Transcribed Image Text:A flanged wooden shape is used to support the loads shown on the beam. The dimensions of the shape are
shown in the second figure. Assume LAB = 8 ft, LBC = 4 ft, LCD= 4 ft, LDE = 4 ft, Pc = 2150 lb, PE = 2000 lb, WAB =
800 lb/ft, b₁ = 8 in., b₂ = 2 in., b3 = 4 in., d₁= 2 in., d₂ = 11 in., d3= 2 in. Consider the entire 20-ft length of the
beam and determine:
(a) the maximum tension bending stress or at any location along the beam, and
(b) the maximum compression bending stress oc at any location along the beam.
Answers:
(a) OT
(b) oc
=
WAB
LAB
B
Pc
LBC
b3
C
LCD
-b₂
psi.
psi.
D
LDE
PE
E
X
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