A wooden beam is fabricated by nailing together three boards as shown. The boards have dimensions of b1 = 20 in., d1 = 1.2 in., b2 = 1.2 in., d2 = 19 in., b3 = 10 in., and d3 = 1.2 in. The vertical distance from the bottom edge of the section to the centroid is 12.761 in. The moment of inertia of the section about the z axis is 4113 in.4. Determine the maximum shear stress in the cross section if the internal shear force is V = 440 lb. Assume that the shear force V acts in the y direction. Part 1 The maximum shear stress will occur at the centroid. Cut a cross section along the centroidal z axis and calculate the first moment of area at this section. Answer: Qmax = in.3
A wooden beam is fabricated by nailing together three boards as shown. The boards have dimensions of b1 = 20 in., d1 = 1.2 in., b2 = 1.2 in., d2 = 19 in., b3 = 10 in., and d3 = 1.2 in. The vertical distance from the bottom edge of the section to the centroid is 12.761 in. The moment of inertia of the section about the z axis is 4113 in.4. Determine the maximum shear stress in the cross section if the internal shear force is V = 440 lb. Assume that the shear force V acts in the y direction. Part 1 The maximum shear stress will occur at the centroid. Cut a cross section along the centroidal z axis and calculate the first moment of area at this section. Answer: Qmax = in.3
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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A wooden beam is fabricated by nailing together three boards as shown. The boards have dimensions of b1 = 20 in., d1 = 1.2 in., b2 = 1.2 in., d2 = 19 in., b3 = 10 in., and d3 = 1.2 in. The vertical distance from the bottom edge of the section to the centroid is 12.761 in. The moment of inertia of the section about the z axis is 4113 in.4. Determine the maximum shear stress in the cross section if the internal shear force is V = 440 lb. Assume that the shear force V acts in the y direction.
Part 1
The maximum shear stress will occur at the centroid. Cut a cross section along the centroidal z axis and calculate the first moment of area at this section.
Answer:
Qmax = in.3
Answer:
Qmax = in.3
Transcribed Image Text:b1
Nail A
di
d2
b2
dz
Nail B
b3
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