A gymnast with a mass of m = 40 kg is hanging by one hand from the middle of a simply supported beam with a length L = 1.5 m. The beam has a cross-sectional area of A = 4 cm² and a Young's modulus of E = 15 GPa. a. What are the maximum deflection and maximum stress in the beam if it has a circular cross section? b. If it has a square cross section? c. If it has a hollow cross section with a wall thickness t = 0.5 cm? d. Which is the greatest and least and why? L/2 L Cross Sections F

Elements Of Electromagnetics
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A gymnast with a mass of m = 40 kg is hanging by one hand from the middle of a simply supported
beam with a length L = 1.5 m. The beam has a cross-sectional area of A = 4 cm² and a Young's
modulus of E = 15 GPa.
a. What are the maximum deflection and maximum stress in the beam if it has a circular cross section?
b. If it has a square cross section?
c.
If it has a hollow cross section with a wall thickness t = 0.5 cm?
d. Which is the greatest and least and why?
L
L/2
F
Cross Sections
- O
Transcribed Image Text:A gymnast with a mass of m = 40 kg is hanging by one hand from the middle of a simply supported beam with a length L = 1.5 m. The beam has a cross-sectional area of A = 4 cm² and a Young's modulus of E = 15 GPa. a. What are the maximum deflection and maximum stress in the beam if it has a circular cross section? b. If it has a square cross section? c. If it has a hollow cross section with a wall thickness t = 0.5 cm? d. Which is the greatest and least and why? L L/2 F Cross Sections - O
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