The aluminum W 310 x 202 (wide flange) column is subjected to an eccentric axialload P as shown. The maximum compressive stress in the column is given by theso-called secant formula:where--- [¹ + ( √5)]eco 1+ secmaxEō = P/A = average stressA = 25800 mm² = cross-sectional area of the columne = 85 mm = eccentricity of the loadc = 170 mm = half depth of the columnr = 142 mm = radius of gyration of the cross sectionL = 7100 mm = length of the columnE = 71 x 10⁹ Pa = modulus of elasticityDetermine the maximum load P that the column can carry if the maximum stressis not to exceed 120 × 10^6 Pa. Terminate the computation when Σa <0.0005%.

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Answered: maximum load P

Engineering

Civil Engineering

maximum load P

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

The aluminum W 310 x 202 (wide flange) column is subjected to an eccentric axial
load P as shown. The maximum compressive stress in the column is given by the
so-called secant formula:
where
--- [¹ + ( √5)]
ec
o 1+ sec
max
E
ō = P/A = average stress
A = 25800 mm² = cross-sectional area of the column
e = 85 mm = eccentricity of the load
c = 170 mm = half depth of the column
r = 142 mm = radius of gyration of the cross section
L = 7100 mm = length of the column
E = 71 x 10⁹ Pa = modulus of elasticity
Determine the maximum load P that the column can carry if the maximum stress
is not to exceed 120 × 10^6 Pa. Terminate the computation when Σa <
0.0005%.

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