Structural Analysis
Structural Analysis
6th Edition
ISBN: 9781337630931
Author: KASSIMALI, Aslam.
Publisher: Cengage,
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Question
Designation
Serial
size
457x191
■ Calculate the design tension resistance of the 457 × 191 ×
67 UB. Given information from steel section table
(assuming S275):
Axis
y-y
cm³
1296
67
Elastic
modulus
Wel
Axis
Z-Z
cm³
153
Mass
per
metre
kg/m
67.1
Depth of
section
h
mm
453.4
Width of
section
b
mm
189.9
Plastic
modulus
Wpl
Axis
y-y
cm³
1471
Axis
Z-Z
cm³
237
Thickness Thickness Root
of web of flange radius
tw
tf
mm
r
mm
mm
8.5
12.7
Buckling
parameter
U
0.872
Torsional
index
X
37.9
10.2
Depth
between
fillets
d
mm
407.6
Ratios for
local
buckling
Flange Web
Cf/tf
Cw/tw
dm6
0.705
6.34
Warping Torsional
constant
lw
constant
IT
cm4
37.1
48.0
Area of
section
cm²
85.5
Second moment
of area
Axis
y-y
cm4
29380
Axis
Z-Z
cm4
kNm
522
1452
Indicative values
for S355 steel
Mc.y.Rd
Nb.z.Rd*
for
Lcr=3.5m
kN
1600
Radius of
gyration
i
Axis
y-y
cm
18.5
Axis
Z-Z
cm
4.12;
Designation
Serial
size
67 457x191
expand button
Transcribed Image Text:Designation Serial size 457x191 ■ Calculate the design tension resistance of the 457 × 191 × 67 UB. Given information from steel section table (assuming S275): Axis y-y cm³ 1296 67 Elastic modulus Wel Axis Z-Z cm³ 153 Mass per metre kg/m 67.1 Depth of section h mm 453.4 Width of section b mm 189.9 Plastic modulus Wpl Axis y-y cm³ 1471 Axis Z-Z cm³ 237 Thickness Thickness Root of web of flange radius tw tf mm r mm mm 8.5 12.7 Buckling parameter U 0.872 Torsional index X 37.9 10.2 Depth between fillets d mm 407.6 Ratios for local buckling Flange Web Cf/tf Cw/tw dm6 0.705 6.34 Warping Torsional constant lw constant IT cm4 37.1 48.0 Area of section cm² 85.5 Second moment of area Axis y-y cm4 29380 Axis Z-Z cm4 kNm 522 1452 Indicative values for S355 steel Mc.y.Rd Nb.z.Rd* for Lcr=3.5m kN 1600 Radius of gyration i Axis y-y cm 18.5 Axis Z-Z cm 4.12; Designation Serial size 67 457x191
Expert Solution
Check Mark
Step 1

Given:

Section: 457 x 191 x 67 UB

Ag = 85.51 cm2

S275 grade:

Fy = 275 N/mm2

 

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