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*7-12. Determine the distance a between the bearings in terms of the shaft's length L so that the moment in the symmetric shaft is zero at its center. Prob. 7-12 W a L

*7-12. Determine the distance a between the bearings in terms of the shaft's length L so that the moment in the symmetric shaft is zero at its center. Prob. 7-12 W a L

Structural Analysis
Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Please answer the question in the picture, Draw a  free body diagram for the shear and Moment as well please. Show all of your work in pictures please. Do not type it! THank you for your help 

**Problem 7–12:** Determine the distance \( a \) between the bearings in terms of the shaft's length \( L \) so that the moment in the symmetric shaft is zero at its center. --- **Diagram Explanation:** The diagram illustrates a symmetric beam supported by two bearings. The beam is subjected to a uniformly distributed load represented by arrows pointing downwards along the entire length of the beam. The load is denoted by \( w \). - The beam rests on two vertical supports (bearings) shown as blue rectangular blocks. - The distance between the two supports is labeled as \( a \). - The total length of the beam is labeled as \( L \). - Beneath the supports, the interaction with the ground is shown with a stippled pattern to indicate the foundation or base. The objective of the problem is to determine the distance \( a \) such that the bending moment at the center of the shaft is zero.
Transcribed Image Text:**Problem 7–12:** Determine the distance \( a \) between the bearings in terms of the shaft's length \( L \) so that the moment in the symmetric shaft is zero at its center. --- **Diagram Explanation:** The diagram illustrates a symmetric beam supported by two bearings. The beam is subjected to a uniformly distributed load represented by arrows pointing downwards along the entire length of the beam. The load is denoted by \( w \). - The beam rests on two vertical supports (bearings) shown as blue rectangular blocks. - The distance between the two supports is labeled as \( a \). - The total length of the beam is labeled as \( L \). - Beneath the supports, the interaction with the ground is shown with a stippled pattern to indicate the foundation or base. The objective of the problem is to determine the distance \( a \) such that the bending moment at the center of the shaft is zero.
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