Question

Compare column lab results with theoretical results predicted by Euler's Eqn. Modulus of elasticity for the maple, E = 11 GPa Measurements of maple cross-section: b = 45.80 mm, h = 18.88 mm Theoretical Observed (Euler's) Results Per (kN) Pc (kN) Sample K L(mm) KL/r Fixed-Fixed Pinned-Pinned Pinned-Pinned Pinned-Pinned Pinned-Pinned Pinned-Pinned 0.5 1 1 1 1 1 1245 1450 1247 1147 1001 848

Answer 1

12 25605, 63 - 5,45 mm See: E = llx 106 kpa = 11x los 120/m2 b=45.00mm , ch = 18.00mm. @. K =0,5 ; L=1245 mm ; A = 0.0458 x0.0llid = Moment of Inertia , I = bh' = 45.8ox taraf'- 25685.63mments Radius of gypation, de V 4500x10.18 Menderness ratio , K4 = 0564.245 = 114.22 - i fer < KPEI - 72x tlxlox 25685.63x10-12 (KL)2 (0.5x1.245)2 Por = 7,196 kN or for = 7196 N | Ang. ® figmed afioned; K - 1 x 450 = 266.055. Por = IZET - 32x Ilx loʻx 25685.63*10-12 (1x1.45)2 Per = 1.326 kW or per = 1326 N Ang © finneel pinned: K+ 1 ya42 = 228.81 pleo = TPET 12x11x106x25685.63x10-12 (KL)2 (1x1,247)2 Per = 1,793 kn or for = 1793 N JAG @ Pinned - Pinneet: KL - 1*1147 - 210.46. Per = 72 x 11* 1oʻx 25685,63x10-12 : low 2.119 KN or Per = 2119N) 11x1.147)2 o 7 5.45 VA