Question

Q1. Determine the plastic moment of a steel beam made of elastoplastic material. The beam cross-section is shown in the figur

Q1(b). The cross-section of the beam is divided according to the areas shown in the figure below Determine the resultant forc

Q1(c). Determine the resultant force R2 in kN exerted on area A2.

01(d). Determine the resultant force R3 in kN exerted on area A3.

Q1(e). Determine the plastic moment in kN.m of the stel stel beam shown in Q1.

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Answer #1

IAI 10mm A2 A2 a is 43 da Total area A: 25X10 + 2X10X 35 AC 950 mm yo 475 mm 2 Ź A 475 2X10 23.75 mm ab Y a 0.02375m or 23.75Resultant force RL : TY AI 240 (25x10 ) GOXION ( RI 6oEN ANS. yl (A 10 mm y, 1.25 mm ^ I 23.75mm to y 1.25 + 10 6:25 mm: 0.00T A2 A2 T 11:25 mm no y2 & 12 ملح SA Hommy I Hommy 2 A22 2 x (10x11:25): 225 mm Y2= 11:25. 5.625 mon ya : 0.005625 m Resultan2 A3: 2 x (10 x 23.75): 475 mm 932 Ź - 23.75 11.875mm 2 y3² # 0.011875 m Resultant force exested on A3 R3. oy. A3 240x 475 3

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