P9.5 A cantilever wooden beam (Figure P9.5a) consists of eight 2 in. thick planks glued together to form a cross section that is 16 in. deep, as shown in Figure P9.5b. Each plank has a width b = 5.5 in. The cantilever beam has a length L = 6 ft and supports a concentrated load P = 3,800 lb. (a) Calculate the horizontal shear stress at points A, B, C, and D. (b) From your results in (a), plot a graph showing the distribution of shear stresses from top to bottom of the beam. FIGURE P9.5a Cantilever beam. 2 in. (typ) A B C D 16 in. FIGURE P9.5b Cross-sectional dimensions.

Structural Analysis
6th Edition
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Author:KASSIMALI, Aslam.
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Chapter2: Loads On Structures
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P9.5 A cantilever wooden beam (Figure P9.5a) consists of eight 2 in. thick planks glued together to form a cross section that is 16 in. deep, as shown in Figure P9.5b. Each plank has a width b = 5.5 in.
The cantilever beam has a length L = 6 ft and supports a concentrated load P = 3,800 lb.
(a) Calculate the horizontal shear stress at points A, B, C, and D.
(b) From your results in (a), plot a graph showing the distribution of shear stresses from top to bottom of the beam.
FIGURE P9.5a Cantilever beam.
2 in. (typ)
y
b
A
B
C
D
16 in.
FIGURE P9.5b Cross-sectional dimensions.
Transcribed Image Text:P9.5 A cantilever wooden beam (Figure P9.5a) consists of eight 2 in. thick planks glued together to form a cross section that is 16 in. deep, as shown in Figure P9.5b. Each plank has a width b = 5.5 in. The cantilever beam has a length L = 6 ft and supports a concentrated load P = 3,800 lb. (a) Calculate the horizontal shear stress at points A, B, C, and D. (b) From your results in (a), plot a graph showing the distribution of shear stresses from top to bottom of the beam. FIGURE P9.5a Cantilever beam. 2 in. (typ) y b A B C D 16 in. FIGURE P9.5b Cross-sectional dimensions.
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