5.5-23 A beam ABC with an overhang from B to C supports a uniform load of 3 kN/m throughout its length (see figure). The beam is a channel section with dimensions as shown in the figure. The moment of iner- tia about the z axis (the neutral axis) equals 210 cm*. (a) Calculate the maximum tensile stress o, and maximum compressive stress o, due to the uniform load. (b) Find the required span length a that results in the ratio of larger to smaller compressive stress being equal to the ratio of larger to smaller ten- sile stress for the beam. Assume that the total length L = a + b = 6 m remains unchanged. %3D

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 6.5.1P: A beam with a channel section is subjected to a bending moment M having its vector at an angle 0 to...
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5.5-23 A beam ABC with an overhang from B to
C supports a uniform load of 3 kN/m throughout its
length (see figure). The beam is a channel section with
dimensions as shown in the figure. The moment of iner-
tia about the z axis (the neutral axis) equals 210 cm*.
(a) Calculate the maximum tensile stress o, and
maximum compressive stress o, due to the
uniform load.
(b) Find the required span length a that results in
the ratio of larger to smaller compressive stress
being equal to the ratio of larger to smaller ten-
sile stress for the beam. Assume that the total
length L = a + b = 6 m remains unchanged.
%3D
Transcribed Image Text:5.5-23 A beam ABC with an overhang from B to C supports a uniform load of 3 kN/m throughout its length (see figure). The beam is a channel section with dimensions as shown in the figure. The moment of iner- tia about the z axis (the neutral axis) equals 210 cm*. (a) Calculate the maximum tensile stress o, and maximum compressive stress o, due to the uniform load. (b) Find the required span length a that results in the ratio of larger to smaller compressive stress being equal to the ratio of larger to smaller ten- sile stress for the beam. Assume that the total length L = a + b = 6 m remains unchanged. %3D
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