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Unformatted text preview: CIV-100F Solutions Section B/E Fall 2011 Assignment 4 Due on Tuesday, October 11 th 2011 Draw a FBD if necessary; Pay attention to significant figures; A ruler is always required. 1- A transmission tower is held by three guy wires attached to a pin A and anchored by bolts at B, C, and D. If the tension in wire AB is 840N, determine the vertical force P exerted by the tower on the pin at A. Solution : FBD is superimposed on original figure. ) 8 . 14 , , 4 ( ) 6 . 3 , , 12 ( ) 5 , , 4 ( ) , 20 , ( = = = = D C B A k m j m i m AB ) 5 ( ) 20 ( ) 4 ( + = k m j m i m AC ) 6 . 3 ( ) 20 ( ) 12 ( + = k m j m i m AD ) 8 . 14 ( ) 20 ( ) 4 ( = m AB 21 = m AC 6 . 23 = m AD 2 . 25 = k N j N i N AB AB N T AB ) 200 ( ) 800 ( ) 160 ( ) 840 ( + = = k T j T i T AC AC T T AC AC AC AC AC ) 15254 . ( ) 84746 . ( ) 50847 . ( + = = k T j T i T AD AD T T AD AD AD AD AD ) 58730 . ( ) 79365 . ( ) 15873 . ( = = 15873 . 50847 . 160 = + = AD AC X T T N F 58730 . 15254 . 200 = + = AD AC Z T T N F Solve the above two equations, we have N T AC 09 . 458 = N T AD 52 . 459 = kN P P T T N F AD AC Y 55 . 1 79365 . 84746 . 800 = = + = P T AD T AC T AB CIV-100F Solutions Section B/E Fall 2011 Assignment 4 Due on Tuesday, October 11 th 2011 Draw a FBD if necessary; Pay attention to significant figures; A ruler is always required....
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This note was uploaded on 12/10/2011 for the course CIV 100 taught by Professor Nahrvar during the Spring '08 term at University of Toronto- Toronto.
- Spring '08