Use the table and superposition for the cantilever beam and loading shown:a) draw the free body and deflection diagram l
Posted: Sat May 21, 2022 12:24 pm
Use the table and superposition for the cantilever beam and
loading shown:a) draw the free body and deflection diagram labeling
slope and deflection b)identify the equation of the slope and
deflection at the free end.
P MA = Pa B с A -a -L-
Beam and Loading Maximum Deflection Elastic Curve Slope at End Equation of Elastic Curve 1 . 0 Ymax PL ЗЕІ PL 2E1 P y = (r? - 3Lx?) 6EI 2 W 0 w max WL" SEI WL 6EI y = (x* – 4Lx' +6L2x) 24EI 3 : 1 Унтах ML 2E1 ML ΕΙ y II M 2E1 M PL 48E1 PL 16E1 For xs L: (4.x - 32x) P y = 48 EI 5 P P L For a > b: Pb (L? – b23/2 93EIL b For x <a: РЬ y = [x? - (L? - b?)x] 6EIL Pb(L- b2) 6EIL b e a a | В x A B A 1² – 6² 3 Pa (L? - ?) Og = + at x = For x = a: y = Ра?ь? 3EIL 6EIL w L 0 w 5wL" 384E1 wĽ 24E1 y = - (x - 2x^ + Lx) 24EI 7 M ML? 9 V3E1 ML A = + 6EI M (r? – Lx) 6EIL Вх А B A max ML Og — 3EI
loading shown:a) draw the free body and deflection diagram labeling
slope and deflection b)identify the equation of the slope and
deflection at the free end.
- Use The Table And Superposition For The Cantilever Beam And Loading Shown A Draw The Free Body And Deflection Diagram L 1 (5.55 KiB) Viewed 12 times
Beam and Loading Maximum Deflection Elastic Curve Slope at End Equation of Elastic Curve 1 . 0 Ymax PL ЗЕІ PL 2E1 P y = (r? - 3Lx?) 6EI 2 W 0 w max WL" SEI WL 6EI y = (x* – 4Lx' +6L2x) 24EI 3 : 1 Унтах ML 2E1 ML ΕΙ y II M 2E1 M PL 48E1 PL 16E1 For xs L: (4.x - 32x) P y = 48 EI 5 P P L For a > b: Pb (L? – b23/2 93EIL b For x <a: РЬ y = [x? - (L? - b?)x] 6EIL Pb(L- b2) 6EIL b e a a | В x A B A 1² – 6² 3 Pa (L? - ?) Og = + at x = For x = a: y = Ра?ь? 3EIL 6EIL w L 0 w 5wL" 384E1 wĽ 24E1 y = - (x - 2x^ + Lx) 24EI 7 M ML? 9 V3E1 ML A = + 6EI M (r? – Lx) 6EIL Вх А B A max ML Og — 3EI