A beam is loaded as shown in the figure below and has a shape as shown in the figure (right). Determine the maximum shear stress in the beam. Determine the shear stress at points a, b (neutral axis), and c at the max shear stress point. Assume the nail has a shear force capacity of 200 lbs., determine the spacing required for the nails.

A beam is loaded as shown in the figure below and has a shape as shown in the figure (right). Determine the maximum shear stress in the beam. Determine the shear stress at points a, b (neutral axis), and c at the max shear stress point. Assume the nail has a shear force capacity of 200 lbs., determine the spacing required for the nails.

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter3: Torsion

Section: Chapter Questions

Problem 3.11.5P: A square tube section has side dimension of 20 in. arid thickness of 0.5 in. If the section is used...

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Question

1) A beam is loaded as shown in the figure below and has a shape as shown in the figure (right).
Determine the maximum shear stress in the beam. Determine the shear stress at points a, b
(neutral axis), and c at the max shear stress point. Assume the nail has a shear force capacity of
200 lbs., determine the spacing required for the nails.
10 kips
3/1
6 kips
*
201
6 in

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Step 1: Write the given data and what is to find

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Step 2: Determine the centroid location in the y-direction from the bottom of the cross-section:

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Step 3: Calculate the moment of inertia of the beam:

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Step 4: (a) Calculate the maximum shear stress:

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Step 5: (b) Calculate the shear stress at point a and point c:

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Step 6: (c) Calculate the spacing required for the nails:

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