Fundamentals of Structural Analysis Episode 1 Part 2 pot

Fundamentals of Structural Analysis Episode 1 Part 2 pot

... equation: ⎥ ⎥ ⎥ ⎥ ⎥ ⎥ ⎥ ⎥ ⎦ ⎤ ⎢ ⎢ ⎢ ⎢ ⎢ ⎢ ⎢ ⎢ ⎣ ⎡ 66656463 62 61 56555453 52 51 46454443 42 41 36353433 32 31 26 2 524 2 322 21 1 615 1 413 1 21 1 KKKKKK KKKKKK KKKKKK KKKKKK KKKKKK KKKKKK ⎪ ⎪ ⎪ ⎪ ⎭ ⎪ ⎪ ⎪ ⎪ ⎬ ⎫ ⎪ ⎪ ⎪ ⎪ ⎩ ⎪ ⎪ ⎪ ⎪ ⎨ ⎧ 3 3 2 2 1 1 v u v u v u = ⎪ ⎪ ⎪ ⎪ ⎭ ⎪ ⎪ ⎪ ⎪ ⎬ ⎫ ⎪ ⎪ ⎪ ⎪ ⎩ ⎪ ⎪ ⎪ ⎪ ⎨ ⎧ 3 3 2 2 1 1 y x y x y x P P P P P P (15 ) where ... representation: ⎪ ⎪...

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Fundamentals Of Structural Analysis Episode 1 Part 2 docx

... 1 4443 42 41 3433 32 31 24 2 322 21 1 413 1 21 1 ⎥ ⎥ ⎥ ⎥ ⎦ ⎤ ⎢ ⎢ ⎢ ⎢ ⎣ ⎡ kkkk kkkk kkkk kkkk ⎪ ⎪ ⎭ ⎪ ⎪ ⎬ ⎫ ⎪ ⎪ ⎩ ⎪ ⎪ ⎨ ⎧ 2 2 1 1 v u v u ⎪ ⎪ ⎭ ⎪ ⎪ ⎬ ⎫ ⎪ ⎪ ⎩ ⎪ ⎪ ⎨ ⎧ 3 3 2 2 y x y x F F F F = 2 4443 42 41 3433 32 31 24 2 322 21 1 413 1 21 1 ⎥ ⎥ ⎥ ⎥ ⎦ ⎤ ⎢ ⎢ ⎢ ⎢ ⎣ ⎡ kkkk kkkk kkkk kkkk ⎪ ⎪ ⎭ ⎪ ⎪ ⎬ ⎫ ⎪ ⎪ ⎩ ⎪ ⎪ ⎨ ⎧ 3 3 2 2 v u v u ⎪ ⎪ ⎭ ⎪ ⎪ ⎬ ⎫ ⎪ ⎪ ⎩ ⎪ ⎪ ⎨ ⎧ 3 3 1 1 y...

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Fundamentals Of Structural Analysis Episode 1 Part 7 potx

... Frame Analysis: Force Method, Part I by S. T. Mau 11 9 (11 ) ( 12 ) (13 ) (14 ) (15 ) (16 ) Problem 2. Frame problems. 5 m 5 m 10 kN 5 m 5 m 10 kN-m 5 m 5 m 10 kN 5 m 5 m 10 kN-m 5 m 5 m 10 kN 5 m 5 m 10 ... diagrams. 2aaa P P a R eactions P a /2 − Pa M oment Diagram 2aaa Conjugate Beam P a/2EI P a/EI 2aaa R eactions P a/2EI P a/EI 11 Pa 2 / 12 EI 5Pa 2 / 12 EI Shear(Rotat...

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Fundamentals Of Structural Analysis Episode 1 Part 8 pot

... ∆ d Load Diagram Moment Diagram (M)(m)(m)(m)(m) a~b EI 1 ( 3 1 ) (2PL)(2L)(2L) = EI PL 3 8 3 00 EI 1 ( 3 1 ) (2PL)(2L)(2L) = EI PL 3 8 3 b~c EI2 1 ( 3 1 ) (2PL)(2L)(L) = EI PL 3 2 3 EI2 1 ( 3 1 ) (2PL) (1) (L) = EI PL 3 2 EI2 1 ( 6 1 ) (2PL) (1) (L) = EI PL 6 2 EI2 1 ... displaced configuration of the frame as shown below. Displaced configuration. P 2P 2P P 1...

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Fundamentals of Structural Analysis Episode 1 Part 1 docx

... as ⎪ ⎪ ⎭ ⎪ ⎪ ⎬ ⎫ ⎪ ⎪ ⎩ ⎪ ⎪ ⎨ ⎧ 2 2 1 1 y x y x F F F F = ⎥ ⎥ ⎥ ⎥ ⎦ ⎤ ⎢ ⎢ ⎢ ⎢ ⎣ ⎡ 4443 42 41 3433 32 31 24 2 322 21 1 413 1 21 1 kkkk kkkk kkkk kkkk ⎪ ⎪ ⎭ ⎪ ⎪ ⎬ ⎫ ⎪ ⎪ ⎩ ⎪ ⎪ ⎨ ⎧ 2 2 1 1 v u v u ( 12 ) 2 1 1 2 x x Truss Analysis: ... form: 1 2 3 1 2 3 1 2 1 2 3 2 1 3 3 P y2 P x2 (F y2 ) 1 +(F y2 ) 2 (F x2 ) 1 + (F x2 ) 2 P y3 P x3 (F y3 ) 2...

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Fundamentals of Structural Analysis Episode 1 Part 1 pptx

... as ⎪ ⎪ ⎭ ⎪ ⎪ ⎬ ⎫ ⎪ ⎪ ⎩ ⎪ ⎪ ⎨ ⎧ 2 2 1 1 y x y x F F F F = ⎥ ⎥ ⎥ ⎥ ⎦ ⎤ ⎢ ⎢ ⎢ ⎢ ⎣ ⎡ 4443 42 41 3433 32 31 24 2 322 21 1 413 1 21 1 kkkk kkkk kkkk kkkk ⎪ ⎪ ⎭ ⎪ ⎪ ⎬ ⎫ ⎪ ⎪ ⎩ ⎪ ⎪ ⎨ ⎧ 2 2 1 1 v u v u ( 12 ) 2 1 1 2 x x Truss Analysis: ... is: ⎥ ⎥ ⎥ ⎥ ⎥ ⎥ ⎥ ⎥ ⎦ ⎤ ⎢ ⎢ ⎢ ⎢ ⎢ ⎢ ⎢ ⎢ ⎣ ⎡ −− −− −−− −−− −− −−− 8 . 12 6.98 . 12 6.900 6 .19 9 .23 6. 92. 706 .16 8 . 12 6.96 .25 08 . 12...

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Fundamentals of Structural Analysis Episode 1 Part 3 pps

... m 5kN 1. 2 m 1m 1m 1 kN 2 m2 m 1m 1m 2 kN 2 m2 m 1m 1m 2 kN 1 kN Truss Analysis: Force Method, Part I by S. T. Mau 49 This particular cut separates the truss into two parts. We shall use the left part ... joint. 4 F 6 F 3 F 2 3 5 4 3 4 5 1 F 3 F 1 R y1 R x1 3 4 5 F 4 F 2 R y5 5 R x5 3 5 4 10 kN 3@2m=6m 1 3 2 4 5 6 7 1 2 3 5 6 7 8 10 11 2m 9 4 Truss Ana...

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Fundamentals of Structural Analysis Episode 1 Part 3 pps

... 1. 3m 4m 3 kN 3m 4m 3m 8 kN 3m 4m 3m 8 kN 3 kN 3m 4m 4 kN 3m 4m 4 kN 3m 2m 6 kN 2m 1. 5m 1. 2 m 1. 6 m 0.9 m 2 m2 m 1. 2 m 0.9 m 0.7 m 5 kN 4 kN 0.9 m 0.9 m 0.7 m 4kN 0.9 m 5kN 1. 2 m 1m 1m 1 kN 2 ... example. F 2 3 F 3 0.83 kN 1 0.5 kN 0 .17 kN F 1 0. 62 kN x y 1 2 3m 2m 3 2m 1 2 3 6 kN 1. 5 m 4 5 6 3 4 5 3 4 5 4 5 Truss Analysis: Force Method, Part I by...

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Fundamentals of Structural Analysis Episode 1 Part 4 pps

... form: x y 1 2 4m 3m 3 3m 1 2 3 x y 1 2 4m 3m 3 3m 1 2 3 x y 1 2 4m 3m 3 3m 1 2 3 x y 1 2 4m 3m 3 3m 1 2 3 x y 1 2 4m 3m 3 3m 1 2 3 x y 1 2 4m 3m 3 3m 1 2 3 1 kN 1 kN 1 kN 1 kN 1 kN 1 kN Truss Analysis: ... EntryReaction Number Force Number 2i -1 Coeff. 2i Coeff. 1 4 1 -1. 0 2 0.0 2 5 1 0.0 2 -1. 0 3 6 5 0.0 6 -1. 0 Cont...

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Fundamentals of Structural Analysis Episode 1 Part 4 pptx

... form: x y 1 2 4m 3m 3 3m 1 2 3 x y 1 2 4m 3m 3 3m 1 2 3 x y 1 2 4m 3m 3 3m 1 2 3 x y 1 2 4m 3m 3 3m 1 2 3 x y 1 2 4m 3m 3 3m 1 2 3 x y 1 2 4m 3m 3 3m 1 2 3 1 kN 1 kN 1 kN 1 kN 1 kN 1 kN Truss Analysis: Force ... equation. Contribution of Member Forces Equation Number and Value of Entry Member Number Force Number 2i -1 Coeff. 2i...

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