A cantilever beam AB is loaded as shown in Figure 1. EI is constant for the beam. L = 2.7 m and P = 8.9 kN. Write down your L and P values and answer parts a to c below.  (a) Using the moment area method, determine the slope of the beam at B.   (b) Using the conjugate beam method, determine vertical deflection at B.    (c) Draw the free body diagram (FBD) of the virtual force system for the virtual work method to determine the vertical deflection at the mid-span of the beam. (Note: No calculations are required and show only the FBD).

Materials Science And Engineering Properties
1st Edition
ISBN:9781111988609
Author:Charles Gilmore
Publisher:Charles Gilmore
Chapter8: Engineering Materials
Section: Chapter Questions
Problem 85CQ
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A cantilever beam AB is loaded as shown in Figure 1. EI is constant for the beam. L = 2.7 m and P = 8.9 kN. Write down your L and P values and answer parts a to c below. 

(a) Using the moment area method, determine the slope of the beam at B.  

(b) Using the conjugate beam method, determine vertical deflection at B.   

(c) Draw the free body diagram (FBD) of the virtual force system for the virtual work method to determine the vertical deflection at the mid-span of the beam. (Note: No calculations are required and show only the FBD).  

A
L
P
L-
P
B
Transcribed Image Text:A L P L- P B
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