The bent pipe ABCD lies in the ry-plane and bends through 90° at C and supports a hanging weight W at D. The vertical pipefits through a smooth circular hole at A and it is supported at B by a roller that lies in the yz-plane. Cable DE is fastened to the pin at D and is fixed atthe point E in the yz-plane.W = 22 kN and the following distances and angles are known:Part AB has a length 4.5 m.Part BC' has length 2.5 m.Part CD has length 4 m.• The angle between line segments EP and PD is 90°.• The angle between EP and the cable is 34°.The angle between part CD and DP is 30°.Note: Figure is not to scaleEBDW= 22 kN (c)Denote the general form of the reaction of the vertical pipe at A on point A of the bent pipe by FA(Azi+ Ayj+ A,F) andMA = (MAzi + MAyj+ MAzk).Denote the general form of the reacion of roller at Bon point Bof the bent pipe, by FB = (Bri+Buj+B,k) andMB = (MBai+ MBj+ MBk).Due to the nature of the support, some of the scalars Ag, Ay, Az, Bz, By, Bz, MAz, M Ay, MAz, MBz, M By, MBz are zero.Select the scalars that are zero at A:O AzO AyO AzO MAzO MAyO MAzSelect the scalars that are zero at B:O BzO ByO BzO MBzO MByO MBzIncorrectly selected options will be marked negatively. The minimum mark for this question is 0.(d)Determine the tension T that develops in the rope.T =kN

Draw the free body diagram of the bent pipe:

The bent pipe ABCD lies in the ry-plane and bends through 90° at C and supports a hanging weight W at D. The vertical pipe fits through a smooth circular hole at A and it is supported at B by a roller that lies in the yz-plane. Cable DE is fastened to the pin at D and is fixed at the point E in the yz-plane. W = 22 kN and the following distances and angles are known: • Part AB has a length 4.5 m. Part BC has length 2.5 m. Part CD has length 4 m. • The angle between line segments EP and PD is 90°. • The angle between EP and the cable is 34°. • The angle between part CD and DP is 30°. Note: Figure is not to scale E A C W= 22 kN

The bent pipe ABCD lies in the ry-plane and bends through 90° at C and supports a hanging weight W at D. The vertical pipe fits through a smooth circular hole at A and it is supported at B by a roller that lies in the yz-plane. Cable DE is fastened to the pin at D and is fixed at the point E in the yz-plane. W = 22 kN and the following distances and angles are known: • Part AB has a length 4.5 m. Part BC has length 2.5 m. Part CD has length 4 m. • The angle between line segments EP and PD is 90°. • The angle between EP and the cable is 34°. • The angle between part CD and DP is 30°. Note: Figure is not to scale E A C W= 22 kN

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 6.77P: The cable AOB weighs 5.2 N/m. When the horizontal 30-N force is applied to the roller support at B,...

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