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

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

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Concept explainers

Axial Load

When a bar of the uniform cross-section is acted by a load, such that the load acts along the longitudinal axis of the bar, such kinds of loadings are known as axial loadings. In general terms, a load is an external force acting on a component. An axial load acts perpendicular to the geometric cross-section of the component. Based on the direction of the application of the load, an axial load can be tensile or compressive. The analysis of bodies under the action of axial loads is generally studied under the branch of mechanics, known as statics.

Question

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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Step 2: (a) Calculate the maximum deflection and maximum stress for circular cross-section.

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Step 3: (c) For hollow cross-section with t=0.5 cm.

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