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 Vacts 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 horizontalresistance (in the x direction), determine the maximum nail spacing s (in thex direction) that can be used for nail B. Assume V = 520Ib.(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.b1Nail Adid2b2d3Nail Bb3

Given b1= 17 in , d1= 2.4 in , b2= 2.4 in , d2= 15 in , b3= 9 in, d3= 2.4 in Internal shear…

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.

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

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Question

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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