Civil Engineering - Strength of Materials - Discussion

Discussion Forum : Strength of Materials - Section 3 (Q.No. 41)
41.
A joint of a frame is subjected to three tensile force P, Q and R equally inclined to each other. If P is 10 tonnes, the other forces will be
Q = 10 tonnes and R = zero
R + 10 tonnes and Q = zero
Q + R = 10 tonnes
Q - R = zero
Q and R each is equal to 10 tonnes.
Answer: Option
Explanation:
No answer description is available. Let's discuss.
Discussion:
7 comments Page 1 of 1.

CHIRU said:   9 years ago
BY SIN RULE.

P/SIN = Q/SIN = R/SIN.
Given equal angles THERFORE P = Q = R.

Deep said:   7 years ago
@Chiru.

Where is it mentioned of equal angles?

Swetha said:   7 years ago
If Q=R means Q-R=0, so why not option D?

Ayesha said:   6 years ago
Equally inclined to each other means the angle between PQR is 180 degree. How the sine rule will work? sin180= zero. And if we use that its not defined.

Can anyone explain?

Muhammad Usman said:   6 years ago
The direction is not given so we can not say that Q-R=0 so the given answer is correct.

Fgc said:   5 years ago
Angle between them is 120 because 360/3 = 120.
(1)

Inayat Ullah Kakar said:   9 months ago
It is solved by sine rule:

P/sina = R/sinb = Qsinc.

Here in the question.
The 3 forces are equally inclined means the angle is the same.
angle a=angle b=angle c= ∆.
So,
P/sin∆ = R/sin∆ = Q/sin∆.
Equatin g any two we will get the value of the unknown force.
P = Q = R = 10 tones .
So, the given answer is correct.
(3)

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