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546_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

# 546_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

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540 CHAPTER 6 Stresses in Beams (Advanced Topics) Problem 6.5-12 A C 200 17.1 channel section has an angle with equal legs attached as shown; the angle serves as a lintel beam. The combined steel section is subjected to a bending moment M having its vector directed along the z axis, as shown in the figure. The centroid C of the combined section is located at distances x c and y c from the centroid ( C 1 ) of the channel alone. Principal axes x 1 and y 1 are also shown in the figure and proper- ties I x 1 , I y 1 and u p are given below. Find the orientation of the neutral axis and calculate the maximum tensile stress s t and maximum compressive stress s c if the angle is an L 76 76 6.4 section and M 3.5 kN m. Use the following properties for principal axes for the combined section: I x 1 18.49 10 6 mm 4 I y 1 1.602 10 6 mm 4 , u p 7.448° (CW), x c 10.70 mm, y c 24.07 mm. # y z M C C 1 y c x c C 200 17.1 L 76 76 6.4 lintel y 1 x 1 u p Solution 6.5-12 M 3.5 kN m u p 7.448° A NGLE : c a 21.2 mm L a 76 mm C HANNEL : c c 14.5 mm d c 203 mm
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