Question

5 نقطة (نقاط) السؤال 2 A steel 80 KN pipe (E = 205 GPa) of 85 mm outer 500 mm diameter is filled with concrete (E = 25 GPa) and subjected to a compressive force of 80 kN. If the force is equally shared between the steel and the concrete, determine the inner diameter of the pipe (mm) ااال

Answer 1

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• Solution: sokn given data : 500mm Steel tube- Esteep = 205 cupa 20sx 10 mpa Concrete Econcrete = 25 cpq Pi = 25x108 mya Outer diameter (Do) =85 mm k Do = 85 mm - Isteel Leoncrete - 500 mm - force applied (F) = 80 KN force is equally Đ Shared between steel and 'Dia inner dicemeter १ concrete, find * This is the problem with Compound bar with Steel and concrete SokN ↑ Fconcrete Fsreel by Equilibrium {fy=0 Esteed + Fconcrete = F = 80 kN 0 Now given that force is equally shared between Steel and concrete, ie Isteel - Fconcrete 40KN (П. Д - 80 [F.B.D of Member]

min. diameter Condition! Now for We use compatibility Sl steel SL concrete > (2 Froncrete x L concrete Isteel Isteel Asteep & Esteel A concrete Econcrete fsreed - 80 = 40 kN = Fconcrete 2 Isreal Leoncrete soomm Astead π CD0² D; 2) 4 2 A Concrete a π Di 4 40x50o U Cool-0.33 x 205 x103 40% soo π D;? x 25x103 4 4 Di² x 25 2 (Do²0; ²) × 205 205x(85)? 205x685) 230 D;? D: 2 230 Di=85 205 230

Di = were st no es 80.2475 mm immer diameter of pipe CD;) G answer