Mechanics of Materials (MindTap Course List)

9th Edition

ISBN: 9781337093347

Author: Barry J. Goodno, James M. Gere

Publisher: Cengage Learning

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Combined Loading

Any functioning component, such as machine parts, structural members, pressure vessels, and so on, are all under the influence of more than one force. When anybody is under the influence of more than one force such as shear forces, bending moments, axial…

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Textbook Question

Chapter 6, Problem 6.5.12P

A C 200 x 17.1 channel section has an angle with equal legs attached as shown; the angle serves as a lintel beam. The combined steel section is subjected to a bending moment M having its vector directed along the z axis, as shown in the figure. The cent roi d C of the combined section is located at distances x_tand y_cfrom the centroid (C₁) of the channel alone. Principal axes y_l and y_vare also shown in the figure and properties I_x₁,I_y₁and 0_pare given.

Find the orientation of the neutral axis and calculate the maximum tensile stress e_xand maximum compressive stress if the angle is an L 76 x 76 x 6.4 section and M = 3.5 kN - m. Use the following properties for principal axes for the combined section:/^, = 18.49 X 10⁶ nrai⁴,/_;| = 1.602 X 10⁶ mm⁴, e_p= 7.448*(CW),_r_£ = 10.70 mm,andv_f= 24.07 mm.

Chapter 6, Problem 6.5.12P, A C 200 x 17.1 channel section has an angle with equal legs attached as shown; the angle serves as a

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Chapter 6, Problem 6.5.11P

Chapter 6, Problem 6.5.13P

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1. 2. 10 mm 10 mm 3. 5 mm 100 mm A beam section as shown in the sketch is subjected to a bendingmoment of Mx = 4 kN.m and a shear force of V = 2.5KN. 50 mm 100 mm Calculate the position of the centroid and the the second moment of area of the section about the sentroid horizontally. Draw the bending stress distribution through the height of the beam by calculating the bending stress at the critical positions Draw the shear stress distribution trough the height of the beam by calculating the shear stress below the flanges and at the centroid. 4. Draw the stress condition below the flanges, at the centroid and at the top and bottom of the beam.(7) 5. Draw the shearflow through the section. Show calculations

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Chapter 6 Solutions

Mechanics of Materials (MindTap Course List)

Ch. 6 - A composite beam is constructed using a steel...Ch. 6 - A wood beam is strengthened using two steel plates...Ch. 6 - A composite beam consisting of fiberglass faces...Ch. 6 - A wood beam with cross-sectional dimensions 200 mm...Ch. 6 - A hollow box beam is constructed with webs of...Ch. 6 - A r o lukI f/frm f «m t ub e of ou t sid e d ia...Ch. 6 - A beam with a guided support and 10-ft span...Ch. 6 - A plastic-lined steel pipe has the cross-sectional...Ch. 6 - The cross section of a sand wie h beam consisting...Ch. 6 - The cross section of a sandwich beam consisting of...

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