Prob%203_94[1]

Prob%203_94[1] - + = + + =--+ = EA i j EA i j k T 2 2 2 2 2...

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3/94. A rectangular sign over a store has a mass of 100 kg, with the center of mass in the center of the rectangle. The support against the wall at point C may be treated as a ball-and-socket joint. At corner D support is provided in the y -direction only. Calculate the tensions T 1 and T 2 in the supporting wires, the total force supported at C , and the lateral force R supported at D .
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(100)(9.81) =981 N 1.5 1.5 1.5 2.5 2.5 1 A B x y z E F 2.5 1.5 z 2 1 T 2 T x C z C y C y D 2 2 2 1 1 4 1.5 2.5 4 1.5 2.5 4.95 4 1.5 2.5 4.95 k m T = - - + = + + = - - + = EA i j EA i j k T 2 2 2 2 2 2.5 1.5 2.5 2.5 1.5 2.5 3.841 2.5 1.5 2.5 3.841 k m T = - + + = + + = - + + = FB i j FB i j k T ( 29 ( 29 0 2 981 3.5 0 560.57 AB x x M C C N = - = = ( 29 ( 29 0 1 0 0 x y y M C C = = = ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 1 2 1 2 1 2 0 4 2.5 0 1.5 1.5 4 2.5 0 4.95 3.841 0.806 z y y M T T T T T T = + = - + = ÷ ÷ = 1 x T 1 y T 1 z T 2 z T 2 x T 2 y T
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(100)(9.81) =981 N 1.5 1.5 1.5 2.5 2.5 1 A B x y z E F 2 1 T 2 T x C z C y C y D 2 2 2 1 1 4 1.5 2.5 4 1.5 2.5 4.95 4 1.5 2.5 4.95 k m T = - -
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Unformatted text preview: + = + + =--+ = EA i j EA i j k T 2 2 2 2 2 2.5 1.5 2.5 2.5 1.5 2.5 3.841 2.5 1.5 2.5 3.841 k m T = -+ + = + + =-+ + = FB i j FB i j k T 1 2 1 2 4 2.5 560.57 4.95 3.841 0.806 x F T T T T =-- + + = = ( 29 2 1 2 431 0.806 347 T N T T N = = = 1 2 1.5 1.5 4.95 3.841 63.16 y y y F D T T D N =- + + = = 1 2 2.5 2.5 981 4.95 3.841 525 z z z F C T T C N = -+ + = = 2 2 2 2 2 561 525 768 x y z C C C C N = + + = + + =...
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Prob%203_94[1] - + = + + =--+ = EA i j EA i j k T 2 2 2 2 2...

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