Problem #1 (Beam optimization). Calculate the length "a" of AB such that the bending moment diagram is optimized (the absolute value of the max and the min is at its lowest). Then draw the shear and moment diagram for the optimized length. Optimize the length to the nearest 0.1 m. You can use RISA 2D as a tool to find the optimized length, however you need to solve for the support reactions at A, B and C by hand and draw the shear and moment diagram by hand. w=20 kN/m A + + a 12 m B C

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter5: Beams And Frames: Shear And Bending Moment
Section: Chapter Questions
Problem 53P: For the beam shown: (a) determine the distance a for which the maximum positive and negative bending...
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Problem #1 (Beam optimization).
Calculate the length "a" of AB such that the
bending moment diagram is optimized (the
absolute value of the max and the min is at
its lowest). Then draw the shear and moment
diagram for the optimized length. Optimize the
length to the nearest 0.1 m.
You can use RISA 2D as a tool to find the
optimized length, however you need to solve for
the support reactions at A, B and C by hand and
draw the shear and moment diagram by hand.
w=20 kN/m
A
+
+
a
12 m
B C
Transcribed Image Text:Problem #1 (Beam optimization). Calculate the length "a" of AB such that the bending moment diagram is optimized (the absolute value of the max and the min is at its lowest). Then draw the shear and moment diagram for the optimized length. Optimize the length to the nearest 0.1 m. You can use RISA 2D as a tool to find the optimized length, however you need to solve for the support reactions at A, B and C by hand and draw the shear and moment diagram by hand. w=20 kN/m A + + a 12 m B C
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