notes_22_plate_bendin

notes_22_plate_bendin - Plate Bending Introduction see:...

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t Qx b t I a t Plate Bending Introduction see: bending with z load sheet for review general beam, simply supported, clamped long plate derivations long plate, boundary conditions (end restrained) not so long plate simply supported beam: b x w q t a t b () := qb qx 2 x Q ξ 1 1 2 z 0 d ξ → 2 q b x 2 q x b Mx 2 q b = 0 @ x = b/2 := x x d 1 2 2 dx 1 2 8 q b 2 M max := 8 q M b 1 2 M max σ x := z maximum when z = t/2, m(x) = M max σ x_max := I 2 1 + tension other side of load 3 b 2 I := 1 t 3 σ x_max := 8 q I b 2 2 σ x_max 4 q t 2 a - compression on load side 12 ___________________________________________________________________________________________ clamped beam: b x w q t a t d 4 need to use delection 4 w to solve dx result: 2 b := q x bx + b 2 2 2 12 z Given d 1 b = 0 Find x dx 2 M b 1 ⋅ ⋅ b 2 2 24 q ( = 1 ⋅ ⋅ b 2 Mb 12 q M max = = 0 , xb ) M0 12 q 1 ⋅ ⋅ b 2 1 12 q b 2 1 b 2
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notes_22_plate_bendin - Plate Bending Introduction see:...

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