A cantilever beam of a channel section and length L is loaded by a point load W applied at half-length of the beam through the centroid of the section, as shown in Figure Q1. The material of the beam is aluminum alloy with the Young's modulus of E. 1. As illustrated in Figure Q1, the Y-axis is positioned along the symmetric plane of the cross-section, while the Z-axis and X-axis pass through the centroid of the cross-section. The X-axis is defined using the right-hand rule, with the origin located at the fixed end. The distance from the centroid to the bottom of the cross- section, yc (Units: mm), is: Select one: O 1. 48.72 O 2. 70.24 ○ 3. 76.38 ○ 4. 83.12 O 5. 68.73 ○ 6. 50.26 ○ 7. 56.19 ○ 8. 88.73 ○ 9. 62.82 O 10. 42.83 W a a 25 mm y Z AN a-a 25 mm 150 mm SC yc 6 mm Figure Q 1 200 mm

A cantilever beam of a channel section and length L is loaded by a point load W applied at half-length of the beam through the centroid of the section, as shown in Figure Q1. The material of the beam is aluminum alloy with the Young's modulus of E. 1. As illustrated in Figure Q1, the Y-axis is positioned along the symmetric plane of the cross-section, while the Z-axis and X-axis pass through the centroid of the cross-section. The X-axis is defined using the right-hand rule, with the origin located at the fixed end. The distance from the centroid to the bottom of the cross- section, yc (Units: mm), is: Select one: O 1. 48.72 O 2. 70.24 ○ 3. 76.38 ○ 4. 83.12 O 5. 68.73 ○ 6. 50.26 ○ 7. 56.19 ○ 8. 88.73 ○ 9. 62.82 O 10. 42.83 W a a 25 mm y Z AN a-a 25 mm 150 mm SC yc 6 mm Figure Q 1 200 mm

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 6.5.12P: A C 200 x 17.1 channel section has an angle with equal legs attached as shown; the angle serves as a...

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