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Write the moment function

Write the moment function

Elements Of Electromagnetics
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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<Homework Set #12-Chapters 12 (12.6, 12.9) Statically Indeterminate Beams and Shafts-Method of Integration 4 of 4 I Review Learning Goal: To use the method of integration to solve for the maximum deflection of a statically indeterminate beam. A beam is subjected to a uniform load w and is supported by a pin support at A and two rollers at B and C. This configuration is statically indeterminate to the first degree. Use the method of integration to determine the maximum deflection. The method of integration can be used to solve for reactions and deflections of a statically indeterminate beam. The elastic curve of the d²v = M(x) and two boundary beam is obtained using EI conditions for either the slope or the deflection. For a statically indeterminate beam, the deflection function v(æ) will contain one or more variables due to the unknown reactions at the redundant supports. However, the additional supports for the statically indeterminate beam will also provide more boundary conditions. So B the number of unknowns in the equation(s) for the elastic curve and the number of boundary conditions will be the same. Therefore, all the unknowns can be determined. Part A - Write the moment function Since the loading and supports are symmetric, the vertical reactions at A and C must be the same and the shape of the elastic curve from A to B must be the same as the shape of the curve from C to B. Write the moment function for the segment of the beam between A and B. Use the standard sign convention for beams. Express your answer in terms of Ay, w, and z. • View Available Hint(s) Ην ΑΣφ vec M(x) = Submit
Transcribed Image Text:<Homework Set #12-Chapters 12 (12.6, 12.9) Statically Indeterminate Beams and Shafts-Method of Integration 4 of 4 I Review Learning Goal: To use the method of integration to solve for the maximum deflection of a statically indeterminate beam. A beam is subjected to a uniform load w and is supported by a pin support at A and two rollers at B and C. This configuration is statically indeterminate to the first degree. Use the method of integration to determine the maximum deflection. The method of integration can be used to solve for reactions and deflections of a statically indeterminate beam. The elastic curve of the d²v = M(x) and two boundary beam is obtained using EI conditions for either the slope or the deflection. For a statically indeterminate beam, the deflection function v(æ) will contain one or more variables due to the unknown reactions at the redundant supports. However, the additional supports for the statically indeterminate beam will also provide more boundary conditions. So B the number of unknowns in the equation(s) for the elastic curve and the number of boundary conditions will be the same. Therefore, all the unknowns can be determined. Part A - Write the moment function Since the loading and supports are symmetric, the vertical reactions at A and C must be the same and the shape of the elastic curve from A to B must be the same as the shape of the curve from C to B. Write the moment function for the segment of the beam between A and B. Use the standard sign convention for beams. Express your answer in terms of Ay, w, and z. • View Available Hint(s) Ην ΑΣφ vec M(x) = Submit
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