A beam has a bending moment of 4 kN-m applied to a section with a hollow circular cross-section of external diameter 3.7 cm and internal diameter 2.3 cm. The modulus of elasticity for the material is 210 x 10° N/m2. Calculate the radius of curvature and maximum bending stress. Also, calculate the stress at the point at 0.9 cm from the neutral axis Solution: (i) The moment of inertia = ii) The radius of curvature is (iii) The maximum bending stress is iv) The bending stress at the point 0.9 cm from the neutral axis is

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter6: Stresses In Beams (advanced Topics)
Section: Chapter Questions
Problem 6.10.15P: The hollow box beam shown in the figure is subjected to a bending moment M of such magnitude that...
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A beam has a bending moment of 4 kN-m applied to a section with a hollow circular
cross-section of external diameter 3.7 cm and internal diameter 2.3 cm. The modulus of
elasticity for the material is 210 x 10° N/m². Calculate the radius of curvature and
maximum bending stress. Also, calculate the stress at the point at 0.9 cm from the
neutral axis
Solution:
(i) The moment of inertia =
ii) The radius of curvature is
(iii) The maximum bending stress is
iv) The bending stress at the point 0.9 cm from the neutral axis is
Transcribed Image Text:ortal Courses Reports e-Services Academic Departments ETC - CIMS - A beam has a bending moment of 4 kN-m applied to a section with a hollow circular cross-section of external diameter 3.7 cm and internal diameter 2.3 cm. The modulus of elasticity for the material is 210 x 10° N/m². Calculate the radius of curvature and maximum bending stress. Also, calculate the stress at the point at 0.9 cm from the neutral axis Solution: (i) The moment of inertia = ii) The radius of curvature is (iii) The maximum bending stress is iv) The bending stress at the point 0.9 cm from the neutral axis is
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