I only need help with part e e) total downward displacement of the assembled cyl

Question

I only need help with part e

e) total downward displacement of the assembled cylinder

thank you

ToP Vie Rigid Picie Concrele STCe ST ST solid siee outer cyinder is Ane with Concrete 'The load, P, is am; ed at the Oenter. the uPPer d Plate. Delermine n tems of '" a The comPressive force that s in he concse+e of Part of tobe b) The comsive Porce in the steel Cylinder c) CorresPonding comPressive Stresses n both Concrete Stee concreie i Steei ) Maximum Shear stress in anv Plane in Stee i Concrete 2)Total downward displacement the assembled cylinder

Explanation / Answer

Deflection = P1*L/(A1*E1) = P2*L/(A2*E2)

P1 = (A1*E1)/(A2*E2)*P2

Also, P1 + P2 = P

(A1*E1)/(A2*E2)*P2 + P2 = P

P2*[1 + A1*E1/(A2*E2)] = P

P2 = P / [1 + A1*E1/(A2*E2)]

Deflection = P / [1 + A1*E1/(A2*E2)] *L / (A2*E2)

Putting values, Deflection = P / [1 + (3.875/4)^2*(3/30)] * 48 / (3.14*4^2 *30*10^6)

= 2.911*10^-8 * P lbs

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