Problem 10.4-3 A propped cantilever beam of length 2L with support at B is loaded by a uniformly distributed load with intensity q. Use the method of superposition to solve for all reactions. Also draw shear-force and bending- moment diagrams, labeling all critical ordinates. MA L. Solution 10.4-3 Select Ry as redundant. (8g), = Deflection at B due to force Rg RELEASED STRUCTURE AND FORCE-DISPLACEMENT RELATIONS (8g)2 ЗЕ FROM COMPATIBILITY EQUATION 17 (SB) = (8g)2 .. RB 7b- EQUILIBRIUM RA = 2qL – RB (1) MA = 2qL? – RgL = --qL² (2) (8g), = Deflection at B due to uniform load q 17qL (8g) * 24EI My Question: HOW DO YOU GET THIS. I know how to solve the problem after this step, but how is this deflection formula derived? Using a table? What is it! Please explain in as much detail as possible!

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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All I want to know is how to get the deflection equation. Please explain in as much detail as possible!

 

DON'T SOLVE THE PROBLEM, this picture was taken from the answer key; solving this problem does me no good. All I want is to know where the 17qL4/24EI  is coming from

Problem 10.4-3 A propped cantilever beam of length 2L with support at B
is loaded by a uniformly distributed load with intensity q. Use the method of
superposition to solve for all reactions. Also draw shear-force and bending-
moment diagrams, labeling all critical ordinates.
MA
A
L.
L.
Solution 10.4-3
Select Rg as redundant.
(8g)2
Deflection at B due to force Rg
RELEASED STRUCTURE AND FORCE-DISPLACEMENT RELATIONS
(8g)2
3EI
FROM COMPATIBILITY EQUATION
17
(8g), = (8g)2
.. RB
L.
7b-
EQUILIBRIUM
RA
2qL – Rg
(1)
M4 = 2qL? – RgL :
(2)
%3D
%3D
(8B), = Deflection at B due to uniform load q
17qL*
(8g) *
24EI
My Question: HOW DO YOU GET THIS. I know how
to solve the problem after this step, but how is this
deflection formula derived? Using a table? What is it!
Please explain in as much detail as possible!
Transcribed Image Text:Problem 10.4-3 A propped cantilever beam of length 2L with support at B is loaded by a uniformly distributed load with intensity q. Use the method of superposition to solve for all reactions. Also draw shear-force and bending- moment diagrams, labeling all critical ordinates. MA A L. L. Solution 10.4-3 Select Rg as redundant. (8g)2 Deflection at B due to force Rg RELEASED STRUCTURE AND FORCE-DISPLACEMENT RELATIONS (8g)2 3EI FROM COMPATIBILITY EQUATION 17 (8g), = (8g)2 .. RB L. 7b- EQUILIBRIUM RA 2qL – Rg (1) M4 = 2qL? – RgL : (2) %3D %3D (8B), = Deflection at B due to uniform load q 17qL* (8g) * 24EI My Question: HOW DO YOU GET THIS. I know how to solve the problem after this step, but how is this deflection formula derived? Using a table? What is it! Please explain in as much detail as possible!
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