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 = 9 ft, LBC = 2 ft, LCD = 2 ft, LDE = 2 ft, PC = 1790 lb, PE = 2110 lb, wAB = 640 lb/ft, b1 = 12 in., b2 = 2 in., b3 = 7 in., d1 = 2 in., d2 = 9 in., d3 = 2 in. Consider the entire 15-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 = 9 ft, LBC = 2 ft, LCD = 2 ft, LDE = 2 ft, PC = 1790 lb, PE = 2110 lb, wAB = 640 lb/ft, b1 = 12 in., b2 = 2 in., b3 = 7 in., d1 = 2 in., d2 = 9 in., d3 = 2 in. Consider the entire 15-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 = 9 ft, LBC = 2 ft, LCD = 2 ft, LDE = 2 ft, PC = 1790 lb, PE = 2110 lb, wAB = 640 lb/ft, b1 = 12 in., b2 = 2 in., b3 = 7 in., d1 = 2 in., d2 = 9 in., d3 = 2 in. Consider the entire 15-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 = 9 ft, LBC= 2 ft, LCD = 2 ft, LDE = 2 ft, Pc = 1790 lb, PE = 2110 lb, WAB=
640 lb/ft, b₁ = 12 in., b₂ = 2 in., b3 = 7 in., d₁ = 2 in., d₂ = 9 in., d3= 2 in. Consider the entire 15-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) στ
(b) Oc
=
=
WAB
LAB
B
Pc
LBC
b₁
b3
C
LCD
psi.
psi.
D
d3
LDE
PE
E
X
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