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Please only include the sketch mentioned in the question as I have already provided the calculation and answers to the question.

Please only include the sketch mentioned in the question as I have already provided the calculation and answers to the question.

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Please only include the sketch mentioned in the question as I have already provided the calculation and answers to the question.

Problem 1. A member having the dimensions shown is to be used to resist an internal bending moment of M = 2 kip-ft. Determine the maximum stress in the member if the moment applied is (a) applied about the z-axis, (b) about the y-axis. For each case, sketch the bending stress distribution as a function of the perpendicular section axis. X Z y 6 in. 12 in.
Transcribed Image Text:Problem 1. A member having the dimensions shown is to be used to resist an internal bending moment of M = 2 kip-ft. Determine the maximum stress in the member if the moment applied is (a) applied about the z-axis, (b) about the y-axis. For each case, sketch the bending stress distribution as a function of the perpendicular section axis. X Z y 6 in. 12 in.
Given data- Depth of the member, d=12in. Breadth of the member, b = 6in. Internal bending moment, M = 2 kip.ft The moment of area in z direction is given by bd³ 1₂ 12 6×12³ 12 =864in.* The moment of area in y direction is given by db³ Iy 12 12x6³ 12 = 216in.* Maximum stress about z-axis is given by MO == 1₂ y Omax M =-xy 1₂ M d X 1₂ 2 = 24×10³ 12 864 2 =166.67 psi Maximum stress about y-axis is given by M I, M x=-xy I₂ = 2×12 kip.in = 24 kip.in M b =1X I, 2 24×10³ 6 216 2 = 333.33 psi
Transcribed Image Text:Given data- Depth of the member, d=12in. Breadth of the member, b = 6in. Internal bending moment, M = 2 kip.ft The moment of area in z direction is given by bd³ 1₂ 12 6×12³ 12 =864in.* The moment of area in y direction is given by db³ Iy 12 12x6³ 12 = 216in.* Maximum stress about z-axis is given by MO == 1₂ y Omax M =-xy 1₂ M d X 1₂ 2 = 24×10³ 12 864 2 =166.67 psi Maximum stress about y-axis is given by M I, M x=-xy I₂ = 2×12 kip.in = 24 kip.in M b =1X I, 2 24×10³ 6 216 2 = 333.33 psi
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