The 3D rigid truss structure is supported by three connections to the ground in the ry plane at D, E, and F. None of these connections can resist rotation. The connection at D can resist translation in all directions. The connection at F can only resist translation in the +z direction. The connection at E can resist translation in the tz direction and the tz direciton. A force of F1 = 250 ĝ kN is applied at B. A second force Fn = – 225 î + 140 ĝ – 60.0 Âk KN is applied at point C. Determine the reactions at connections D, E and F. Enter your answers in Cartesian components.
The 3D rigid truss structure is supported by three connections to the ground in the ry plane at D, E, and F. None of these connections can resist rotation. The connection at D can resist translation in all directions. The connection at F can only resist translation in the +z direction. The connection at E can resist translation in the tz direction and the tz direciton. A force of F1 = 250 ĝ kN is applied at B. A second force Fn = – 225 î + 140 ĝ – 60.0 Âk KN is applied at point C. Determine the reactions at connections D, E and F. Enter your answers in Cartesian components.
International Edition---engineering Mechanics: Statics, 4th Edition
4th Edition
ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
Publisher:Andrew Pytel And Jaan Kiusalaas
Chapter1: Introduction To Statics
Section: Chapter Questions
Problem 1.63P: Let A and B be two nonparallel vectors that lie in a common plane S. If C=A(AB), which of the...
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Given data,
Important point:- If a point/joint /support, resisting any rotation motion or translation motion. Then in that particular point/joint/support have that particular reaction of rotation or translation.
- In the given case, none of the supports resisting the rotation motion. So, summation of moments in all the supports will be zero.
- The support D resisting all the translation motion.
- So, reaction at D is =
- The support F can resist only in +Z direction.
- So, reaction at F is = RFz
- The support E can resist in only +x and +z direction translation.
- So, reaction at E is =
The force = 250 KN
The force = KN
Values of
a =1.84 m
b = 2.13 m
c =2.76 m
Coordinates of F = (0, 0, 0)
Coordinates of D = (b, 0, 0) = (2.13, 0, 0)
Coordinates of E = (0, a, 0) = (0, 1.84, 0)
Coordinates of C = (0, 0, c) = (0, 0, 2.76)
Coordinates of B = (b, a, c) = (2.13, 1.84, 2.76)
To determine, the reaction at D, E and F
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