A wooden beam is fabricated by nailing together three boards as shown. The boards have dimensions of b1 = 17 in., d1 = 2.4 in., b2 = 2.4 in., d2 = 15 in., b3 = 9 in., and dg = 2.4 in. (a) Determine the distance from the bottom edge of the section to the centroid. (b) Determine the moment of inertia of the section about the z axis. (c) Determine the maximum shear stress in the cross section if the internal shear force is V = 520 lb. Assume that the shear force V acts in the y direction.

Structural Analysis
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Chapter2: Loads On Structures
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A wooden beam is fabricated by nailing together three boards as shown. The boards have dimensions of b1 = 17 in., d1 = 2.4 in., b2 =
2.4 in., d2 = 15 in., b3 = 9 in., and dg = 2.4 in.
(a) Determine the distance from the bottom edge of the section to the centroid.
(b) Determine the moment of inertia of the section about the z axis.
(c) Determine the maximum shear stress in the cross section if the internal shear force is V = 520 lb. Assume that the shear force V
acts in the y direction.
(d) Consider nail B that connects the bottom flange to the beam web. If the nails used at B can provide 120 lb of horizontal
resistance (in the x direction), determine the maximum nail spacing s (in thex direction) that can be used for nail B. Assume V = 520
Ib.
(e) If a bending moment applied about the z axis produces a tension normal stress of ox = 740 psi at the bottom of the cross section,
determine the compression normal stress produced at the top of the cross section.
b1
Nail A
di
d2
b2
d3
Nail B
b3
Transcribed Image Text:A wooden beam is fabricated by nailing together three boards as shown. The boards have dimensions of b1 = 17 in., d1 = 2.4 in., b2 = 2.4 in., d2 = 15 in., b3 = 9 in., and dg = 2.4 in. (a) Determine the distance from the bottom edge of the section to the centroid. (b) Determine the moment of inertia of the section about the z axis. (c) Determine the maximum shear stress in the cross section if the internal shear force is V = 520 lb. Assume that the shear force V acts in the y direction. (d) Consider nail B that connects the bottom flange to the beam web. If the nails used at B can provide 120 lb of horizontal resistance (in the x direction), determine the maximum nail spacing s (in thex direction) that can be used for nail B. Assume V = 520 Ib. (e) If a bending moment applied about the z axis produces a tension normal stress of ox = 740 psi at the bottom of the cross section, determine the compression normal stress produced at the top of the cross section. b1 Nail A di d2 b2 d3 Nail B b3
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