steel sections and load combinations
TRANSCRIPT
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LOAD FACTORS AND LOADCOMBINATION
It is impossible that all loads like liveload, wind load and earthquake alloccur together with their maximum
intensity. A load combination combinesdifferent types of loads depending onthe probability of occurrence of these
loads, considering their expectedintensity in the combination comparedwith the maximum load intensity.
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The factors of safety are also included
in the LRFD load combinations and
hence the output of the expressions is
a design load.
The alphabets used in the
combinations mean different types of
nominal service loads and thenumerical values with them are all the
load factors.2
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When intermediate floors have
full live loads, any type of roof
load may be considered equal to
half of its normal service loadintensity.
Similarly, in case of maximum
intensity wind storm, live load
may be half.3
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The last combination, given afterwards,
is very important for uplift of structureor reversal of forces.
The wind load on roof is upwards inmajority of the cases and if the
downward gravity load is less, thestructure may be blown up or saggingbending may change into hoggingbending.
A list of most commonly usedcombinations are as under:
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LRFD Load Combination
1. 1.4 (D+F)2. 1.2 (D+F+T) + 1.6(L+H) +0.5(Lr or S
or R)
3. 1.2D + 1.6(Lr or S or R) + (L or 0.8W)4. 1.2D + 1.6W + 1.0L +0.5(Lr or S or R)
5. 1.2D + 1.0E + 1.0L + 0.2S
6. 0.9D + 1.6W + 1.6H
7. 0.9D + 1.0E + 1.6H5
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LRFD Load Combination D
dead load L live load Lr roof live load W wind load S snow load
E earthquake load R rainwater or ice load H load due to lateral earth pressure,
ground water pressure or pressureof bulk materials
F load due to fluids with well definedpressures and max heights.
T self-retaining force6
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LRFD Load Combination
Study the remaining discussion by yourself.
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ASD Load Combination
1. D + F
2. D + H + F + L + T
3. D + H +F + (Lr or S or R)
4. D + H +F + 0.75(L + T) + 0.75 (Lr or S or R)
5. D + H +F + (W or 0.7E)
6. D + H +F + 0.75(W or 0.7E) + 0.75L +
0.75(Lr or S or R)7. 0.6D +W +H
8. 0.6D + 0.7E + H8
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LRFD
1. 1.4D
2. 1.2D + 1.6L + 0.5Lr
3. 1.2D + 1.6Lr + (L or 0.8W)
4. 1.2D + 1.3W + 1.0L + 0.5Lr
5. 0.9D + 1.3W
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ASD
1. D
2. D + L
3. D + Lr
4. D + 0.75L + 0.75Lr
5. D + 0.8W
6. D + 0.6W + 0.75L + 0.75Lr
7. 0.6D + 0.8W11
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Live Load Reduction
The intensity of live load may be
reduced if the contributory area for
the live load exceeds certain limit.
It is due to the fact that, under these
circumstances, all the area may notbe subjected to the full load.
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All uniform live loads, except the roof
loads (for which separate provisionsare given in ASCE-07), may be
reduced as follows:
Where
Lo = the unreduced live load
AT = tributary area in m2
K LL = live load element factor13
T LL A K
L L 57.425.0
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a Interior columns and exterior
columns without cantilever
slabs.
K LL
= 4
b Edge columns with cantilever
slabs.
K LL
= 3
c Corner columns withcantilever slabs, edge beams
without cantilever slabs and
interior beams.
K LL = 2
d All other members including
slabs.
K LL
= 1
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TYPES OF STRUCTURAL STEEL
Steels are divided into four
categories depending on the
carbon percentages (C) asfollowing:
1. Low carbon steel C < 0.15%
2. Mild carbon steel C = 0.15 - 0.29%3. Medium carbon steel C = 0.30 – 0.59%
4. High carbon steel C = 0.60 – 1.70%15
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E-Value of steel = 185 GPa to 230 GPa
(Average 200 GPa)
Unit weight = 7850 kg/m3
= 77 kN/m3
= 7.85 g/cc
For comparison, the unit weight of
concrete is 23.6 kN/m3.
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Most of the structural steel fallsinto the mild carbon steel orsimply mild steel (MS) category.
Hot rolled structural shapes may
be made to conform to A36M, A529M, A572M, A588M, A709M,
A913M and A992M.
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Sheets are manufactured according
to the standards ASTM A606, A1011MSS, HSLAS and HSLAS-F.
Bolts are made according to ASTM
standards A307, A325M, A449,
A40M and F1852.
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Most commonly used structural
steel is A36M having the
following properties:Fy = 250 MPa
Fu = 400 MPa
E = 200 GPa19
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Weld Electrode And Filler Material
Weld electrodes are classified as E60,
E70, E80, E100 and E110.
The letter E denotes electrodes.
The two digits indicate the ultimate
tensile strength in ksi. The
corresponding SI equivalents are
E425, E495, E550, E690 and E760.20
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HOT ROLLED STRUCTURAL SHAPES
These are the steel cross-sectionalshapes that are hot rolled in themills. Some of these shapes areshown in next slides, whereas, the
steel bars, plates and hollowsections are reproduced in slidesnext to the above slides.
An HP h x w is a bearing pile section,which is approximately h mm deepweighing w kgs/m.
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HOT ROLLED STRUCTURAL SHAPES
Bearing piles are made with theregular W rolls but with thicker web
to provide better resistance to the
impact of pile driving.
HSS are hollow structural sections
that are prismatic square,
rectangular or round products of a
pipe or tubing.22
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HOT ROLLED STRUCTURALSHAPES
Every hot rolled shape has its
unique standard designation, which
not only tells about the type of
cross-sectional shape but also
about its size.
The details about some of thecommon hot rolled shapes are
given in the next slides.24
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25
Slope ≈ 0°
W-Section
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26
16.7% Slope
S-Section
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27Angle-Section
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28Channel-Section
16.7% Slope
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29Tee-Section
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30HP-Section
Thicker than flange
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31Pipe Section
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32Structural Tubing
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33Bars
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34Plates
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1. W-Shapes
The letter „W‟ stands for an I-shapewith wide flange. The cross-sectionis doubly symmetric in the form ofthe letter “I”. The width / depth ratio
varies from about 0.3 to 1.0.The US Customary designation W16 x 40 means that the nominaldepth of the section is 16 in andthe weight per unit length of thesection is 40 lbs/ft.
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1. W-Shapes
Nominal height is the rounded
off height to be used for common
use.
Actual depth of the section may
be in decimals and somewhatdifferent from this depth.
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The equivalent SI designation
W410 x 60 means that the W-
section has a nominal depth of 410
mm and a weight of 60 kgf/m.37
Less or no slope Flange
Web
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This kilogram-force weight per
unit length may be converted in
kN/m by multiplying it with the
factor 9.81/1000.
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2. S-Shapes
oDoubly symmetrical I-shapes.
oPreviously called standard I-beams
or American Standard Beam. 39
16.7% Slope
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2. S-Shapes
oThe inner edge of the flange has aslope of approximately 16.7%.
o An S510 x 112 section means thatthe section is S-shape havingnominal depth of 510 mm andweight of 112 kgf/m.
40
16.7 % Slope
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2. S-Shapes
oThe width / depth ratio varies
from about 0.25 to 0.85.
41
16.7 % Slope
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3. M-Shapes
oMiscellaneous I-shapes.
oDoubly symmetrical I-shapes notclassified as W or S shapes.
oRelatively lightweight used forsmaller spans and lesser loads.
o An M310 x 17.6 means that it is M-shape section having nominal depthof 310 mm and weight of 17.6 kgf/m.
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4. C-Shapes
The C-shapes have the followingdistinguishing features:
oChannel shapes with standardproportions.
o Inner flange slope is 16.7%.43
16.7 % Slope
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4. C-Shapes
The C-shapes have the followingdistinguishing features:
O Previously called Standard or
American Standard Channels. 44
16.7 % Slope
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4. C-Shapes
The C-shapes have the followingdistinguishing features:
o A C150 x 19.3 is a standard channelshape with a nominal depth of150mm and a weight of 19.3 kgf/m.
45
16.7 % Slope
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5. MC-Shapes
These sections have thefollowing properties:
oChannels not classified as C-shapes.
oPreviously called Shipbuilding or
Miscellaneous Channels.
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6. L-Shapes or Angle Sections
The various types of anglesections are shown in Figure andtheir salient features are givenbelow:
O The single angle sections are inthe form of letter „L‟. 47
a
b
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6. L-Shapes or Angle Sections
The various types of anglesections are shown in Figure andtheir salient features are givenbelow:
O If a = b, these are called equalangle sections.
48
a
b
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6. L-Shapes or Angle Sections
The various types of angle sectionsare shown in Figure and their salientfeatures are given below:
o If a ≠ b, these are called unequalangle sections.
49
a
b
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6. L-Shapes or Angle Sections
oSides of the angle are called „legs‟ or „arms‟.
oL89 x 76 x 12.7 is an unequal legangle with longer leg dimension of
89mm and shorter leg dimension of76mm with a leg thickness of12.7mm.
50
a
b
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6. L-Shapes or Angle Sections
oDouble angle sections arecombination of two angles withlonger or shorter sides close to eachother.
oDouble angle sections are denotedby 2Ls.
51
a
b
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6. L-Shapes or Angle Sections
o2L89 x 76 x 12.7 means two
angles L89 x 76 x 12.7 placed
side by side in one of the waysshown in the figure.
52
a
b
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7. T-Shapes
oThese are called structural tees.
oThese are obtained by splitting W, S
or M shapes and are called WT, ST,or MT shapes, respectively.
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7. T-Shapes
o A WT205 x 30 is a structural tee with
a nominal depth of 205mm and a
weight of 30kgf/m and is obtained by
splitting the W410 x 60 section.54
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COLD – FORMED SHAPES
These sections are formed fromthin high strength steel alloy
plates under normal
temperature.
Some of the common shapes of
these sections are drawn inFigure:
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56Channels
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57Zees
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58
I-Shaped Double Channels
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59 Angle
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60Hat Sections
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BUILT-UP SECTIONS
Sections made by combining two ormore standard hot rolled sections,
joined together at intervals with the
help of direct welding, stay plates orlacing, are called built-up sections.
Examples are four angles section,
double angle section and double
channel section shown in Figure.61
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BUILT-UP SECTIONS
However, double angle sectionis sometimes excluded from
built-up section category and isconsidered as a regular hot
rolled member because of
difference of its behavior from
other built-up sections. 62
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4-Angle Box Section
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Double Angle
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Two Channels connected back-to-back
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