a)Classify steel cross-section based on the slenderness (λ) ratio.b) Calculate the value of moment gradient factor Cb of the end segment.c) Determine the value of moment gradient factor Cb of the middle segment. Determine the maximum safe load w that the simply supported beam W24x55 can carry. Use ASD andA36 steel. Lateral supports are located at ends and middle third points. Consider beam weight.W|!!!!!!!!!!12.0m NominalWt.WAISC_Manua|_ LabelArea DepthAmm²mmmmkg/mW24X55 81.8 10452 599.4 178.1Flange WebFlangewidth thickness thicknessdbrtwmm10.0trDistancekKom Kammmmm12.8 25.7 36.5mmk₁CompactSection Criteriab/2th/twmm25.4 6.94 54.6lxx10³mm²561,912 2,195.87Zxx10³mm³Axis X-XSxx10³mm²1,868.13 231.39mmTxShapeFactors1.17544Zyx10³mmx10³mm²12,112 217.95Axis Y-YSyx10²mm³136.01 34.04 1.60241mmTyShapeFactorsTorsional PropertiesJС.x10³x10²mm²mm²491.15 1,039,234 43.69mmTa

Given, A36 W24X55 Properties of A36 are: fy=248 N/mm2fu=400 N/mm2E=199948 N/mm2 Properties of W24X55…

a)Classify steel cross-section based on the slenderness (λ) ratio. b) Calculate the value of moment gradient factor Cb of the end segment. c) Determine the value of moment gradient factor Cb of the middle segment.

a)Classify steel cross-section based on the slenderness (λ) ratio. b) Calculate the value of moment gradient factor Cb of the end segment. c) Determine the value of moment gradient factor Cb of the middle segment.

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

Frames

The trusses and frames are the two most important structural members of civil engineering. Trusses are the interconnection of links and other structural members. The interconnection with other members makes the system behave as a single member that supports and transfers loads. Trusses are generally two types, plane truss, and space truss. Frames on the other hand form the skeleton of any building construction. Frames are structures formed by the connection of beams, columns, slabs, and joists. These members provide the building with the required structural support.

Question

a)Classify steel cross-section based on the slenderness (λ) ratio.
b) Calculate the value of moment gradient factor Cb of the end segment.
c) Determine the value of moment gradient factor Cb of the middle segment.

Determine the maximum safe load w that the simply supported beam W24x55 can carry. Use ASD and
A36 steel. Lateral supports are located at ends and middle third points. Consider beam weight.
W
|!!!!!!!!!!
12.0m

Nominal
Wt.
W
AISC_Manua
|_ Label
Area Depth
A
mm²
mm
mm
kg/m
W24X55 81.8 10452 599.4 178.1
Flange Web
Flange
width thickness thickness
d
br
tw
mm
10.0
tr
Distance
k
Kom Kam
mm
mm
12.8 25.7 36.5
mm
k₁
Compact
Section Criteria
b/2t
h/tw
mm
25.4 6.94 54.6
lx
x10³
mm²
561,912 2,195.87
Zx
x10³
mm³
Axis X-X
Sx
x10³
mm²
1,868.13 231.39
mm
Tx
Shape
Factors
1.17544
Zy
x10³
mm
x10³
mm²
12,112 217.95
Axis Y-Y
Sy
x10²
mm³
136.01 34.04 1.60241
mm
Ty
Shape
Factors
Torsional Properties
J
С.
x10³
x10²
mm²
mm²
491.15 1,039,234 43.69
mm
Ta

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