A rod has a solid circular cross section with adiameter of 40 mm is subjected to theshown loads. Determine the state of stressat point A.OX =Ixy=Given:The area moment of inertia of a solid circularcross section about its neutral axis is INA =(πR4)/4.The polar moment of inertia of a solidcircular cross section about its neutral axis isJNA = (πR4)/2.The centroid of a semi-circle is located at4R/(3) from the horizontal axis representingthe diameter line.1500 N200 mm600 N100 N-m800 N100 mm

Given data,The diameter of the shaftd=40mmThe free body diagram of the beamThe internal loading at…

Answered: A rod has a solid circular cross…

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter7: Analysis Of Stress And Strain

Section: Chapter Questions

Problem 7.7.8P

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A rod that has a solid circular cross-section with a diameter of 20 mm is subjected to the shown loads. Determine the state of stress at point A. Given: The area moment of inertia of a solid circular cross-section about its neutral axis is INA = (πR4)/4. The polar moment of inertia of a solid circular cross-section about its neutral axis (πR4)/2. is JNA = The centroid of a semi-circle is located at 4R/(3) from the horizontal axis representing the diameter line. 400 mm 1500 N 100 N·m 800 N 600 N Select one: ox = 412.2 Mpa and Txy = 61.1 Mpa None of these ox = -412.2 Mpa and Txy = 61.1 Mpa ox = 412.2 Mpa and Txy = -61.1 Mpa ox=-402.7 Mpa and Txy = -61.1 Mpa B 100 mm x
A rod that has a solid circular cross-section with a diameter of 20 mm is subjected to the shown loads. Determine the state of stress at point A. Given: The area moment of inertia of a solid circular cross-section about its neutral axis is INA = (πR4)/4. The polar moment of inertia of a solid circular cross-section about its neutral axis is JNA = (πR4)/2. The centroid of a semi-circle is located at 4R/(3π) from the horizontal axis representing the diameter line. 1500 N 400 mm 600 N 100 N·m 800 N 100 mm x A B
A rod that has a solid circular cross-section with a diameter of 30 mm is subjected to the shown loads. Determine the state of stress at point A. Given: The area moment of inertia of a solid circular cross-section about its neutral axis is INA = (πR4)/4. The polar moment of inertia of a solid circular cross-section about its neutral axis is JNA = (πR4)/2. The centroid of a semi-circle is located at 4R/(3π) from the horizontal axis representing the diameter line.
A rod that has a solid circular cross-section with a diameter of 30 mm is subjected to the shown loads. Determine the state of stress at point A. Given: The area moment of inertia of a solid circular cross-section about its neutral axis is INA = (πR4)/4. The polar moment of inertia of a solid circular cross-section about its neutral axis is JNA = (πR4)/2. The centroid of a semi-circle is located at 4R/(3π) from the horizontal axis representing the diameter line. options : σx = 56 Mpa and τxz = -1.2 Mpa σx = -57.2 Mpa and τxz = 0.4 Mpa σx = -14.6 Mpa and τxz = -0.8 Mpa None of these σx = -51.5 Mpa and τxz = -1.2 Mpa
A rod that has a solid circular cross-section with a diameter of 40 mm is subjected to the shown loads. Determine the state of stress at point A. Given: The area moment of inertia of a solid circular cross- section about its neutral axis is INA = (πR4)/4. The polar moment of inertia of a solid circular cross-section about its neutral axis is JNA = (πR4)/2. The centroid of a semi-circle is located at 4R/(3π) from the horizontal axis representing the diameter line. 500 mm 1000 N 100 N·m 200 N 400 N Select one: ox -15.1 Mpa and Txy = -7.5 Mpa None of these ox=-16.7 Mpa and Txy = -8.4 Mpa ox = -13.35 Mpa and Txy = -8.4 Mpa ox = 16.7 Mpa and Txy = 8.4 Mpa B 100 mm x
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A rod has a solid circular cross section with a diameter of 40 mm is subjected to the shown loads. Determine the state of stress at point A. σX = Ixy= Given: The area moment of inertia of a solid circular cross section about its neutral axis is INA = (πR4)/4. The polar moment of inertia of a solid circular cross section about its neutral axis is JNA = (πR4)/2. The centroid of a semi-circle is located at 4R/(3) from the horizontal axis representing the diameter line. 200 mm 1500 N 100 N-m 800 N 600 N B 100 mm 50.6 Mpa -24.3 Mpa 24.5 Mpa 14.6 Mpa 30.2 Mpa -7.3 Mpa
Please help. This problem involves moment of inertia on a cross-section. Thank you.
1. The solid shaft is loaded (two point loads) and supported (fixed at left end) as shown. For the xyz directions shown, determine a) 手 B The normal stress at point B; The shear stress at point B; Show results on a differential volume element located at B. 4 in. 19 in. 4 in. 1.5 kips 12 kips 8 in. Section Properties of the shaft: A = 12.566 in.² II 12.566 in.4 (QB)V₂ = 0 in.³ (QB)V, = 5.333 in.³ J= 25.133 in.4
The shear stress and the polar moment of inertia are inversely proportional. Select one: a. False b. True
A rod has a solid circular cross section with a diameter of 50 mm is subjected to the shown loads. Determine the state of stress at point A. σx = τxz = Given: The area moment of inertia of a solid circular cross section about its neutral axis is INA = (πR4)/4. The polar moment of inertia of a solid circular cross section about its neutral axis is JNA = (πR4)/2. The centroid of a semi-circle is located at 4R/(3π) from the horizontal axis representing the diameter line.
The wing spar ABD of a light plane is made from 2014-T6 aluminum and has a cross- sectional area of 800 mm², a height of 79 mm, and a moment of inertia about its neutral axis of 1.07(106) mª. Assume A, B, and C' are pins. The neutral axis passes through the cross-section at half of its height. Connection is made along the central longitudinal axis of the spar. The anticipated loading is to be as shown. (Figure 1) Determine the absolute maximum bending stress in the spar. 0.6 m 14.4 kN/m 0.9 m B -1.8 m-

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