A beam has a bending moment of 2.5 kN-m applied to a section with a hollow circular cross-section of external diameter 3 cm and internal diameter 2.3 cm. The modulus of elasticity for the material is 210 x 109 N/m. Calculate the radius of curvature and maximum bending stress. Also, calculate the stress at the point at 0.7 cm from the neutral axis Solution: (i) The moment of inertia = 26024.12mm^4 ii) The radius of curvature is 2186.02mm (iii) The maximum bending stress is 1.44GPA iv) The bending stress at the point 0.7 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 6.2.8P: A plastic-lined steel pipe has the cross-sectional shape shown in the figure. The steel pipe has an...
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A beam has a bending moment of 2.5 kN-m applied to a section with a hollow circular cross-section of
external diameter 3 cm and internal diameter 2.3 cm. The modulus of elasticity for the material is 210 x 109
N/m. Calculate the radius of curvature and maximum bending stress. Also, calculate the stress at the point at
0.7 cm from the neutral axis
Solution:
(i) The moment of inertia =
26024.12mm^4
ii) The radius of curvature is
2186.02mm
(iii) The maximum bending stress is
1.44GPA
iv) The bending stress at the point 0.7 cm from the neutral axis is
Transcribed Image Text:A beam has a bending moment of 2.5 kN-m applied to a section with a hollow circular cross-section of external diameter 3 cm and internal diameter 2.3 cm. The modulus of elasticity for the material is 210 x 109 N/m. Calculate the radius of curvature and maximum bending stress. Also, calculate the stress at the point at 0.7 cm from the neutral axis Solution: (i) The moment of inertia = 26024.12mm^4 ii) The radius of curvature is 2186.02mm (iii) The maximum bending stress is 1.44GPA iv) The bending stress at the point 0.7 cm from the neutral axis is
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