Determine the length b of the triangular load and its position a on the beam such that the equivalent resultant force is zero and the resultant couple moment is MR

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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Version: b
Determine the length b of the triangular load and its position a on the beam such that the
equivalent resultant force is zero and the resultant couple moment is MR
Let
M₂ = -30 kN - m
R
Assume the intensities of the
distributed loading be
w = 12 kN/m
w = 5 kN/m
r
Let the length of the beam be
d = 8 m
A
b
W₁
Wr
d
Note that the sign of MR indicates whether the couple moment is positive (CCW) or negative
(CW). Also, position a may be negative, which indicates that the length of the rectangular load is
shorter than the triangular load.
Transcribed Image Text:Version: b Determine the length b of the triangular load and its position a on the beam such that the equivalent resultant force is zero and the resultant couple moment is MR Let M₂ = -30 kN - m R Assume the intensities of the distributed loading be w = 12 kN/m w = 5 kN/m r Let the length of the beam be d = 8 m A b W₁ Wr d Note that the sign of MR indicates whether the couple moment is positive (CCW) or negative (CW). Also, position a may be negative, which indicates that the length of the rectangular load is shorter than the triangular load.
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