a. Calculate the critical slenderness ratio of the W section if the column is braced at midpoint of the weak axis b. Calculate the compressive capacity of built-up section using ASD and LRFD c. Calculate the demand-capacity factor, Is the section adequate?

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
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A W21 x 57 of A992Gr50 steel column having length of 6 m and is fixed at both ends.
(Gr50 steel = 50 ksi = 345 MPa = Fy) is used to carry a load of 900 kN dead load and 400 kN live
load. Note: Use NSCP 2015
Properties of W21 x 57
A 10800 mm
d = 536 mm
bf = 167 mm
tr = 16.5 mm
tw 10.3 mm
Kdes
rx = 212 mm
Ry = 34.3 mm
= 29.2 mm
a. Calculate the critical slenderness ratio of the W section if the column is braced at midpoint of the weak
axis
b. Calculate the compressive capacity of built-up section using ASD and LRFD
c. Calculate the demand-capacity factor, Is the section adequate?
Transcribed Image Text:A W21 x 57 of A992Gr50 steel column having length of 6 m and is fixed at both ends. (Gr50 steel = 50 ksi = 345 MPa = Fy) is used to carry a load of 900 kN dead load and 400 kN live load. Note: Use NSCP 2015 Properties of W21 x 57 A 10800 mm d = 536 mm bf = 167 mm tr = 16.5 mm tw 10.3 mm Kdes rx = 212 mm Ry = 34.3 mm = 29.2 mm a. Calculate the critical slenderness ratio of the W section if the column is braced at midpoint of the weak axis b. Calculate the compressive capacity of built-up section using ASD and LRFD c. Calculate the demand-capacity factor, Is the section adequate?
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