Question

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6.14 Deterimine the nodal displacements and the elemient stresses, including principal stresses, cue to the loads shown for the thin plates in Figue PG-14 on the next page. Use E= 210 GPa, v= 0.30, and t= 5 mm. Assume plane stress conditions apply. The recoumended discretized plates are shown in the figures.

(a) & (c)

Answer 1

Answer: Given, E = 210 Gla V=0.3 2SWM += 5mm 500 mm *240K Element Nodes CD2 ! • 2 3 ux, uy, UX, WY, UX, vy 2 3 51.0x UY UR3 UY UXS UYS 3 4 5 Ux, UY UXA UM UNS UYS 5 UXA UM Ux, UY UNS UYS! * Each has 3 nodes and each node has a displacements ux and uy A2 = 1 LH -/+ 4+ -/+ Az = 1 / H2 de = HL And for a general element . 7 + 7 + 7 = CH=1 'il 1. & 279 W | | *, , ไป | ฯ ) Here k= B't at A (azil) (y) (22; 9)

UX = Uxiy, & UX2 4 ₂ + Ux343 Uy = Very & Veze + Unisys B - 4 28 ° F 0 6 0 21 4, 13 *, , , , | ใ3 0 ไร, D ใน | 0 3 0 13 6 ใน ไ3 *13 1 ใบ ๐