EI B,L B EI 2L PL -L° EI (a) 2PL EI (c) MA, Az 'B/A = 0 AB A tan A Ay B, B tan B (b) (d)
EI B,L B EI 2L PL -L° EI (a) 2PL EI (c) MA, Az 'B/A = 0 AB A tan A Ay B, B tan B (b) (d)
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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Question
The beam is subjected to the concentrated force shown in Fig. a. Determine the reactions at the supports. EI is constant.
Expert Solution
Step 1
The downward deflection at the point B due the applied load must be equal to the upward deflection due to the reaction force at point B.
Consider the diagram shown below for the displacement of the load.
The deflection at the point B due to the concentrated load P can be determined as,
Step 2
Consider the diagram shown below for the reaction force at B.
The deflection at the beam can be expressed as,
The net deflection of the point B is zero. Thus,
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