Version: bDetermine the length b of the triangular load and its position a on the beam such that theequivalent resultant force is zero and the resultant couple moment is MRLetM₂ = -30 kN - mRAssume the intensities of thedistributed loading bew = 12 kN/mw = 5 kN/mrLet the length of the beam bed = 8 mAbW₁WrdNote 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 isshorter than the triangular load.

It is required to determine the variables a and b.

Answered: Determine the length b of the…

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

International Edition---engineering Mechanics: Statics, 4th Edition

4th Edition

ISBN:9781305501607

Author:Andrew Pytel And Jaan Kiusalaas

Publisher:Andrew Pytel And Jaan Kiusalaas

Chapter6: Beams And Cables

Section: Chapter Questions

Problem 6.42P: For the beam AB shown in Cases 1 and 2, derive and plot expressions for the shear force and bending...

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Concept explainers

Types of loading

In mechanical terminology, the term load indicates that external force/weight, either constant or variable, acts on a mechanical member/structure. The weight of an object of a specific material is also an external load, and the external force that works on a structure comes under the categories of loading. The external load generates its effects as stress and strain in the structure.

Question

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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