AW14×142 is used as a column having a length of 9m long. It is hinged at the upper end and fixed at the lower end but there is a lateral bracing perpendicular to the minor axis of the W section at a point 5.4m above the bottom support. It is assumed to be pinned connected at the bracing point. Using A36 steel F, = 248MPA and the NSCP Specifications. E, = 200000MPA Properties of the W14X142 A = 26967.69mm² d = 374.65mm by t; = 27.00mm tw = 17.27mm I, = 695.11 × 10ʻmm* I, = 274.71 × 10%mm* S = 3719.86 x 10³mm³ Sy = 1396.18 x 103mm³ r, = 160.53mm ry = 100.84mm = 393.70mm %3D Assume K, = 0.8 for 9.0m length K, = 1.9 for the 3.6m length Ky = 0.80 for the 5.4m length a. Compute the critical slenderness ratio b. Compute the allowable stress F c. Compute the allowable critical load that the column can carry

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
Question
100%
AW14×142 is used as a column having a length of 9m long. It is hinged at the upper end and fixed at the lower end
but there is a lateral bracing perpendicular to the minor axis of the W section at a point 5.4m above the bottom
support. It is assumed to be pinned connected at the bracing point. Using A36 steel F, = 248MP and the NSCP
Specifications. E, = 200000MP
Properties of the W14X142
A = 26967.69mm²
d = 374.65mm
by
t, = 27.00mm
Sy = 1396.18 × 10³mm³
r, = 160.53mm
ry = 100.84mm
tw = 17.27mm
I, = 695.11 × 10ʻmm*
%3D
= 393.70mm
Iy
= 274.71 x 10ómm*
Sz = 3719.86 × 10³mm³
Assume K, = 0.8 for 9.0m length
K, = 1.9 for the 3.6m length
K, = 0.80 for the 5.4m length
a. Compute the critical slenderness ratio
b. Compute the allowable stress F.
c. Compute the allowable critical load that the column can carry
Transcribed Image Text:AW14×142 is used as a column having a length of 9m long. It is hinged at the upper end and fixed at the lower end but there is a lateral bracing perpendicular to the minor axis of the W section at a point 5.4m above the bottom support. It is assumed to be pinned connected at the bracing point. Using A36 steel F, = 248MP and the NSCP Specifications. E, = 200000MP Properties of the W14X142 A = 26967.69mm² d = 374.65mm by t, = 27.00mm Sy = 1396.18 × 10³mm³ r, = 160.53mm ry = 100.84mm tw = 17.27mm I, = 695.11 × 10ʻmm* %3D = 393.70mm Iy = 274.71 x 10ómm* Sz = 3719.86 × 10³mm³ Assume K, = 0.8 for 9.0m length K, = 1.9 for the 3.6m length K, = 0.80 for the 5.4m length a. Compute the critical slenderness ratio b. Compute the allowable stress F. c. Compute the allowable critical load that the column can carry
hing ed
3.6m
3.6
Laterul suppart
W 14 x 142
vateral support
(assume to be
pinned connected)
5.4m
fixed
Transcribed Image Text:hing ed 3.6m 3.6 Laterul suppart W 14 x 142 vateral support (assume to be pinned connected) 5.4m fixed
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