Answered: Р de d₁ h de d₂

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Question

As shown, two composite columns of steel and concrete are used to support a rigid platform. The columns are cylindrical, with a steel bar encased in concrete. The outer diameter of each column is dc = 28 cm. The steel in the left column has a diameter of d1=21 cm. A load of P=78 kN is applied with L1=1.3 m and L2 =3.3 m. The height of the columns is h =3 m. The moduli of elasticity for steel and concrete are Es=200 GPa and Ec=30 GPa, respectively.

A) What is the magnitude of the axial compressive load on the left column, F1?

B) The steel and concrete in the left column are bonded so that there is no slip. What is the deformation in this column due to the applied load?

C) The design requires that the platform remain horizontal. Because the external load is not centered, and the column forces are not the same, the diameter of the steel portion of the second column must be calculated. What diameter should the steel portion of the column on the right have so that the platform remains horizontal when the load is applied?