Consider the following statements: A. The intersection of the first and the last ray in the funicular diagram is on the line of action of the resultant. B. Intersection of the first and last rays in the polar diagram gives the magnitude of the resultant. Which of the above statements is/are correct Select the code for the correct answer from the options given below:?

A only
B only
Both A and B
Neither A nor B

LohaHridoy

5 views

2025-01-04 04:42

1 Answers

AhmedNazir

Option 1 : A only

Concept

A funicular polygon is a shape taken by a simply supported string when subjected to loads. It takes the shape of a BM diagram for an imaginary simply supported beam subjected to the same loads.

Eg: Assume a beam subjected to the following forces.

[ alt="F1 Killi 10.10.20 Pallavi D3" src="//storage.googleapis.com/tb-img/production/20/10/F1_Killi_10.10.20_Pallavi_D3.png" style="height: 216px; width: 276px;">

A Force diagram is a graphical representation of force vectors drawn on the same scale.

Force P represented in the section AB as ab, Similarly Q, R as bc, cd

The resultant force is represented by ray ad.

[ alt="F1 Killi 10.10.20 Pallavi D4" src="//storage.googleapis.com/tb-img/production/20/10/F1_Killi_10.10.20_Pallavi_D4.png" style="height: 217px; width: 163px;">

The polar diagram is a force diagram with a pole is called a polar diagram

[ alt="F1 Killi 10.10.20 Pallavi D5" src="//storage.googleapis.com/tb-img/production/20/10/F1_Killi_10.10.20_Pallavi_D5.png" style="height: 153px; width: 201px;">

The funicular polygon is similar to the Bending moment diagram.

The resultant force is not the intersection of the ray from ab and dc.

∴ The intersection of the first and last rays in the polar diagram doesn't give the ray ad

[ alt="F1 Killi 10.10.20 Pallavi D6" src="//storage.googleapis.com/tb-img/production/20/10/F1_Killi_10.10.20_Pallavi_D6.png" style="height: 207px; width: 315px;">

From the force diagram, we got to know the resultant ray ad direction

From the funicular polygon diagram, we can see the intersection of the first (Force P) and the last ray (Force R) in the funicular diagram is on the line of action of the resultant (R)

∴ Statement A is true

5 views Answered 2022-09-04 04:29

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