A built up column, consists of W 255 x 75 and welded to theflanges by a plate 9.5mm thick as shown. The column supports aload of 460kN at an eccentricity of 200mm.The length is 5.5 m. side-sway is prevented and K = 1.2, Fb = 0.60Fy. Assumed both ends arepinned connected.Properties of W 255 x 75254A = 9480mm²d = 253mmb₁ = 254mmt₁ = 14.5mm446 kN253tw = 9.0mmrx= 112mmry = 65.2mmFy = 250MPax = 115 x 10 mmªly:= 39.0 x 106 mm¹9.5A. Determine the slenderness ratio of the built up column.B. Determine the amplification factor.C.Determine the ratio of actual and allowable stresses for com-bined axial and bending using interaction equation.9.5e=200 mm

Column: - It is defined as a vertical structural member which transmits weight of structure top to…

Answered: Determine the slenderness ratio

Engineering

Civil Engineering

Determine the slenderness ratio

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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Concept explainers

Pressure and Stress

Question

A built up column, consists of W 255 x 75 and welded to the
flanges by a plate 9.5mm thick as shown. The column supports a
load of 460kN at an eccentricity of 200mm.The length is 5.5 m. side-
sway is prevented and K = 1.2, Fb = 0.60Fy. Assumed both ends are
pinned connected.
Properties of W 255 x 75
254
A = 9480mm²
d = 253mm
b₁ = 254mm
t₁ = 14.5mm
446 kN
253
tw = 9.0mm
rx= 112mm
ry = 65.2mm
Fy = 250MPa
x = 115 x 10 mmª
ly:
= 39.0 x 106 mm¹
9.5
A. Determine the slenderness ratio of the built up column.
B. Determine the amplification factor.
C.
Determine the ratio of actual and allowable stresses for com-
bined axial and bending using interaction equation.
9.5
e=200 mm

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