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The concrete pipe at A rests on top of B and C. If the coefficient of static friction between the pipes is 4, and at the ground '„, determine their smallest values so that the pipes will not slip. Each pipe has a radius r and weight W, and the angle between the centers as indicated is 0. W W W B F' Solution: N' N'

The concrete pipe at A rests on top of B and C. If the coefficient of static friction between the pipes is 4, and at the ground '„, determine their smallest values so that the pipes will not slip. Each pipe has a radius r and weight W, and the angle between the centers as indicated is 0. W W W B F' Solution: N' N'

Structural Analysis
Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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The concrete pipe at A rests on top of B and C. If the coefficient of static friction between the pipes is 4, and at the ground µ'„, determine their smallest values so that the pipes will not slip. Each pipe has a radius r and weight W, and the angle between the centers as indicated is 0. W W W Solution: N" N° Total System : EF, = 0; 2N' – 3W = 0 N" = -w Pipe C: EF, = 0; -F cos(e) + Nsin( 8) – F' = 0 EF, = 0; N' – W – Ncos(e) – F sin(e) = 0 EMo=0; Fr- F'r= 0 1( W sin(e) E Cos(e) + 1 W N = 2 Solving. F = F' = For Pipe A: W sin( e) 2 cos(e) + 1, sin(0) Hs Z cos(e) + 1 HgN 2
Transcribed Image Text:The concrete pipe at A rests on top of B and C. If the coefficient of static friction between the pipes is 4, and at the ground µ'„, determine their smallest values so that the pipes will not slip. Each pipe has a radius r and weight W, and the angle between the centers as indicated is 0. W W W Solution: N" N° Total System : EF, = 0; 2N' – 3W = 0 N" = -w Pipe C: EF, = 0; -F cos(e) + Nsin( 8) – F' = 0 EF, = 0; N' – W – Ncos(e) – F sin(e) = 0 EMo=0; Fr- F'r= 0 1( W sin(e) E Cos(e) + 1 W N = 2 Solving. F = F' = For Pipe A: W sin( e) 2 cos(e) + 1, sin(0) Hs Z cos(e) + 1 HgN 2
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