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Quiz 11 Solution

# Quiz 11 Solution - ﬂéo’lcll Gum/K Fovu £30”...

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Unformatted text preview: ﬂéo’lcll Gum/K Fovu £30” ENGINEERING MECHANICS - STATICS, 2nd. Ed. W. F. RILEY AND L. D. STURGES 6-90 The plate shown in Fig. P6-90 has a mass of 75 kg. The brackets at supports A and B exert only force reactions on. the plate. Each of the brackets can resist a force along the axis of pins in one direction only. Determine the reactions at supports A 11¢“ : g and B and the tension in ‘ﬁ‘m.,4 f 5 the cable. ‘~.4~ ” E SOLUTION E —1.00 i - 1.40 cos 30° “ + (1.20 + 1.40 sin 30°) E ] /(—1.00)2 + (-1.40.cos 30°)2 + (1.20 + 1.40 sin 30°)2 = -0.4056TC i - 0.49171” 3 + 0.7706TC E E W = m5 = 75(9.81)(—E) = —735.75 E N s —735.8 E N I From a free~body diagram ' for the plate: For moment equilibrium: Xi = (F B x TC) + (I‘MB x A) + (Fa/B x W) C/B = [(1 i + 1.2 E) x {-0.4056TC i — 0.49171C + 0.7706Tc E)] [(2 i) x (AV 3 + Az E)] [(1 i + 0.70 cos 300 j - 0.70 sin 300 E) x {—735.8 E)] (0.5900TC — 446.0) E + (—1.2573TC - 2Az + 735.8) 3 + (—0.4917TC + 2A ) E = 6 Y ‘11363 ENGINEERING MECHANICS - STATICS, 2nd. Ed. W. F. RILEY AND L. D. STURGES 6-90 (Continued) Solving yields: = 755.9 N g 756 N TC Tc = 755.9(—0.4056 i - 0.4917 3 + 0.7706 R) = —306.6 E — 371.7 3 + 582.5 E N = 185.84 N = -107.30 N A ‘ = 185.84 3 - 107.30 E N a 185.8 J - 107.3 E N A = 74185.84)2 + (-107.30)2 = 214.59 N a 215 N For force equilibrium: 2F = K +-§ + TC + W = 185.84 3 - 107.30 ﬂ + 8x i + By 3 + 82 E — 306.6 E - 371.7 3 + 582.5 E - 735.8 E = (3x — 306.6) 3 + (By + 185.84 - 371.7) 3 + (82 — 107.30 + 582.5 — 735.8) E = ﬁ xi+By3+Bz§ = 306.6 3 + 185.86 3 + 260.6 E N ; a 307 i + 185.9 3 + 261 E N B = 14306.6)2 + (185.86)2 + (260.6)2 = 443.2 N 3 443 N ...
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Quiz 11 Solution - ﬂéo’lcll Gum/K Fovu £30”...

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