A two-span, continuous wood girder (E = 2,000 ksi) supports a roof patio structure (part (a) of the figure). A uniform load of intensity q acts on the girder, and each span is of length 8 ft. The girder is made up using two 2 x 8 wood members (part (b) of the figure). " ² 8 in. q= 17.0 lb/ft 3f 2 in (a) 81 2 in Section a-a (b) 8 in. Ignore the weight of the beam. Use the nominal dimensions of the beam in your calculations. (Solve by the method of superposition. The beam has constant flexural rigidity EI, unless otherwise stated.) (a) Find the reactions at A, B, and C. (Enter your answers in lb. Round your answer for Rg to at least one decimal place. Use the statics sign convention.) R₁ = lb Rg= lb RC = lb
A two-span, continuous wood girder (E = 2,000 ksi) supports a roof patio structure (part (a) of the figure). A uniform load of intensity q acts on the girder, and each span is of length 8 ft. The girder is made up using two 2 x 8 wood members (part (b) of the figure). " ² 8 in. q= 17.0 lb/ft 3f 2 in (a) 81 2 in Section a-a (b) 8 in. Ignore the weight of the beam. Use the nominal dimensions of the beam in your calculations. (Solve by the method of superposition. The beam has constant flexural rigidity EI, unless otherwise stated.) (a) Find the reactions at A, B, and C. (Enter your answers in lb. Round your answer for Rg to at least one decimal place. Use the statics sign convention.) R₁ = lb Rg= lb RC = lb
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:A two-span, continuous wood girder (E = 2,000 ksi) supports a roof patio structure (part (a) of the figure). A uniform load of intensity q acts on the girder, and each span is of length 8 ft. The girder is made up using two 2 x 8 wood members (part (b) of the figure).
a
q= 17.0 lb/ft
-8 ft
(a)
B
8 ft
41
8 in.
2 in.
2 in.
Section a-a
(b)
000
8 in.
Ignore the weight of the beam. Use the nominal dimensions of the beam in your calculations. (Solve by the method of superposition. The beam has constant flexural rigidity EI, unless otherwise stated.)
(a) Find the reactions at A, B, and C. (Enter your answers in lb. Round your answer for Rg to at least one decimal place. Use the statics sign convention.)
lb
RA
RB =
lb
RC
lb
Transcribed Image Text:(b) Use the method of superposition to calculate the displacement of the beam at the mid-span of segment AB. Hint: See parts (c) and (d) of the figure below from this example. (Enter your answer in inches. Use the statics sign convention.)
in.
9
600
(a)
9
(c)
- (dB)1
Rc
B
(b)
RR
(d)
(dB)2
000
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