A simply supported beam AB = 9 m has a hollow rectangular cross-section with 15 cm as width, 24 cm as depth and inner thickness as 1 cm is subjected to a point load of 6 N & 8N acting at C and D respectively and a uniformly distributed load (UDL) of 5 N/m starts from mid-span and ends at the right support of the beam. Determine the maximum bending stress and the bending stress at 1 cm from the top. Take AC = 1 m & CD = 2 m. Solution: i) Reaction force at B = ii) Reaction Force at A = iii) The distance from B at which the shear Force value changes from "-" to "+" = iv) Maximum Bending Moment (Please write the Maximum bending moment valve in "Nm") = v) Moment of Inertia, I = vi) Maximum bending stress = vii) Bending stress at 1 cm from the top =

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter5: Stresses In Beams (basic Topics)
Section: Chapter Questions
Problem 5.5.17P: A simple beam A B of a span length L = 24 ft is subjected to two wheel loads acting at a distance d...
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A simply supported beam AB = 9 m has a hollow rectangular cross-section with 15 cm as width, 24 cm as
depth and inner thickness as 1 cm is subjected to a point load of 6 N & 8 N acting at C and D respectively
and a uniformly distributed load (UDL) of 5 N/m starts from mid-span and ends at the right support of the
beam. Determine the maximum bending stress and the bending stress at 1 cm from the top. Take AC = 1 m
& CD = 2 m.
Solution:
i) Reaction force at B =
ii) Reaction Force at A =
iii) The distance from B at which the shear Force value changes from "-" to "+" =
iv) Maximum Bending Moment (Please write the Maximum bending moment valve in "Nm") =
v) Moment of Inertia, I =
vi) Maximum bending stress =
vii) Bending stress at 1 cm from the top =
Transcribed Image Text:A simply supported beam AB = 9 m has a hollow rectangular cross-section with 15 cm as width, 24 cm as depth and inner thickness as 1 cm is subjected to a point load of 6 N & 8 N acting at C and D respectively and a uniformly distributed load (UDL) of 5 N/m starts from mid-span and ends at the right support of the beam. Determine the maximum bending stress and the bending stress at 1 cm from the top. Take AC = 1 m & CD = 2 m. Solution: i) Reaction force at B = ii) Reaction Force at A = iii) The distance from B at which the shear Force value changes from "-" to "+" = iv) Maximum Bending Moment (Please write the Maximum bending moment valve in "Nm") = v) Moment of Inertia, I = vi) Maximum bending stress = vii) Bending stress at 1 cm from the top =
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