Types of Support Calculation and Reaction
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7/21/2019 Types of Support Calculation and Reaction
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Types Of Support
Calculation AndReaction
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Kush Bhatt 130460119010Kush Bhatt 130460119010
Siddhant Bhasar 130460119011Siddhant Bhasar 130460119011
!ayesh Bho"#ani 13046011901$ !ayesh Bho"#ani 13046011901$
%&'()RSA* CO**)+) O,%&'()RSA* CO**)+) O,
)&+'&))R'&+ A&-)&+'&))R'&+ A&-
T.)C.&O*O+/T.)C.&O*O+/
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NEED FOR SUPPORT
THE LOAD CARRYINGSTRUCTURES NEED SUPPORTS
TO AVOID -DEFORMATION
-BENDING
-INSTABILITY
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POINT LOAD
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UDL
Length = lLength = L
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UNIFORMLY VARYING
LOAD
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COMBINED UDL AND UVL
=
W= 15N!"
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TYPES OF SUPPORT
SUPPORTS
SIMPLE ROLLER HINGED
• # $USUALLYONE% ROLLERSUPPORTS
• SUPPORTSALLOW FREEE&PANSION
•TA'ES VERTICALLOADS NORMALTO ROLLER PLANE
• # OR MOREVERTICALSUPPORTS
• (UST PIVOTS
•TA'ES ONLYVERTICALLOADS
•# $USUALLY ONE% HINGEDSUPPORTS
• SUPPORTS TA'E VERTICAL
AND HORI)LOAD
• USUALLY DESIGNED WITH AROLLER SUPPORT FOR FREEE&PANSION OF ONE END
• VERTICAL AND HORI)LOADS DETERMINE
REACTION AND LINE OFACTION
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Types of Support Types of Support
In order for loded prts to re!"n "nIn order for loded prts to re!"n "n
e#u"l"$r"u!% the $ln&"ng for&es ree#u"l"$r"u!% the $ln&"ng for&es re
the re&t"on for&es t the supportsthe re&t"on for&es t the supports Most rel l"fe produ&ts h'e supportMost rel l"fe produ&ts h'e support
geo!etr"es (h"&h d")er fro! thegeo!etr"es (h"&h d")er fro! the
"del"*ed &se"del"*ed &se Des"gner !ust sele&t the &onser't"'eDes"gner !ust sele&t the &onser't"'e
&se&se
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Types of Support Types of Support
Gu"ded "s support t the end of the $e!sGu"ded "s support t the end of the $e!stht pre'ent rott"on% $ut per!"tstht pre'ent rott"on% $ut per!"ts
long"tud"nl nd trns'erse d"spl&e!entlong"tud"nl nd trns'erse d"spl&e!ent +ree or unsupported "s (hen the $e! "s+ree or unsupported "s (hen the $e! "stotlly free to rotte "n ny d"re&t"ontotlly free to rotte "n ny d"re&t"on
Held "s support t the end of the $e!Held "s support t the end of the $e!
tht pre'ents long"tud"nl nd trns'ersetht pre'ents long"tud"nl nd trns'ersed"spl&e!ent $ut per!"ts rott"ond"spl&e!ent $ut per!"ts rott"on
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Types of Support Types of Support
S"!ply Supported "s support t the endS"!ply Supported "s support t the end
of the $e! tht pre'ents trns'erseof the $e! tht pre'ents trns'erse
d"spl&e!ent% $ut per!"ts rott"on ndd"spl&e!ent% $ut per!"ts rott"on ndlong"tud"nl d"spl&e!entlong"tud"nl d"spl&e!ent
+",ed "s support t the ends of the+",ed "s support t the ends of the
$e! tht pre'ents rott"on nd$e! tht pre'ents rott"on ndtrns'erse d"spl&e!ent% $ut per!"tstrns'erse d"spl&e!ent% $ut per!"ts
long"tud"nl d"spl&e!entlong"tud"nl d"spl&e!ent
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Idel"*ed SupportsIdel"*ed Supports
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Idel"*ed SupportsIdel"*ed Supports
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SIMPLE SUPPORT
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ROLLER SUPPORT
LOCATION OFROLLER BEARINGTO SUPPORT (ETENGINE ROTOR
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HINGED SUPPORT
'NEE
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COMBINED SUPPORT
HINGEDSUPPORT
ROLLER SUPPORT
DISTRITIBUTED LOAD = *
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-on&entrted nd D"str"$uted-on&entrted nd D"str"$uted
LodsLods
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C+,.,+te the /.002t 2e+t3n/
S,.t3n
F32/t h+nge UDL 3n t 03nt ,+67
Re/,8e6 +,, the 92e/ 3n h23:nt+, +n6 8e2t3+, 632et3n7 S3ne 2,,e2 +t B $n,; ne8e2t3+, 2e+t3n% +n6 h3nge6 +t 03nt B $ne 8e2t3+, +n6 ne h23:nt+, 2e+t3n%7
Let 2e+t3n +t h3nge6 37e7< 03nt B 3/ RBH +n6 RBV< +n6 2e+t3n +t 2,,e2 /.002t 37e7 03ntD 3/ RDV Let H > V 3/ the /." 9 h23:nt+, +n6 8e2t3+, "0nent 9 the 92e/ <The/.002te6 ?e+" 3/ 3n [email protected],3?23."< hene
H = V = RH = RBH = RBH = 777$3% V = RBV 5 5 RDV = RBV RDV = 55 777$33%
T+3ng ""ent +?.t 03nt B5 75 RBV RDV 5 5 = RDV =1# 'N 7777777ANS
P.tt3ng the 8+,.e 9 RBV 3n e@.+t3n $33%
RBV = 'N 7777777ANS
Hene RBH = < RDV = 1#'N< RBV = 'N
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Types of lods Types of lods
• Concentrated loadsConcentrated loads .eg/ P.eg/ P00% P% P11% P% P22% P% P33 44
• 5hen lod "s spred long the ,"s5hen lod "s spred long the ,"s
of $e! "s of $e! "s distributed loaddistributed load//
D"str"$uted lods re !esured $yD"str"$uted lods re !esured $y
the"rthe"r intensity q (force per unitintensity q (force per unit
distance)distance)
• Uniformly distributed loadUniformly distributed load hshs &onstnt "ntens"ty # .6g 3714&onstnt "ntens"ty # .6g 3714
• 8 'ry"ng lod hs n "ntens"ty #8 'ry"ng lod hs n "ntens"ty #
tht &hnges ("th d"stn&e long thetht &hnges ("th d"stn&e long the
,"s/,"s/ Linearly varying load from qLinearly varying load from q11 --
qq22 .6g 371$4.6g 371$4
• 8nother 9"nd of lod "s 8nother 9"nd of lod "s couple ofcouple of
momentmoment MM00 &t"ng on the&t"ng on the
o'erhng"ng $e! .6g 371&4o'erhng"ng $e! .6g 371&4
FI! "-2FI! "-2
Types of $e!s: Types of $e!s:
.4 s"!ple $e!%.4 s"!ple $e!%
.$4 &nt"le'er.$4 &nt"le'er$e!%$e!%
nd .&4 $e! ("thnd .&4 $e! ("th
n o'erhngn o'erhng
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D"str"$uted LodD"str"$uted Lod
2222
+or &l&ult"on purposes% d"str"$uted lod &n $e represented s s"ngle lod&t"ng on the &enter po"nt of the d"str"$uted re/
Totl for&e = re of d"str"$uted lod .5 : he"ght nd L: length4Po"nt of &t"on: &enter po"nt of the re
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E,!pleE,!ple
2323
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E,!pleE,!ple
2424
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De;e&t"on -l&ult"onDe;e&t"on -l&ult"on
0.15” at
base with1draftangle for
ribs
0.5”
4.0”
0.125”
Force=100lbs distributed
inches y
inin
lbinin
lb
y
I E
Lw y
in L
inlbsw
in I
psi E pe
0174.0
0192.0*000,250*!4
"4#*25*5
**!4
**5
4
4$100
0192.0
000,250
%a&
4
2
4
%a&
4
%a&
4
−=
−=
−=
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=
=
=
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Type of <e!s Type of <e!s
Stt"&lly Deter!"nteStt"&lly Deter!"nte
2626
Simply Supported Beam
Overhanging Beam
Cantilever Beam
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Type of <e!s Type of <e!s
Stt"&lly Indeter!"nteStt"&lly Indeter!"nte
2727
Continuous Beam
Propped Cantilever Beam
Fixed Beam
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2828
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E,!ple 0E,!ple 0
E#u"l"$r"u! e#ut"on for ≤ , ≤ 2!:
8 <
> "nternl ? nd M should $e ssu!ed @'e
kN V
V F
F y
9
0
0
−=
=−−
=∑
"#9
0
0
kNm x M
M Vx
M
−=
=+
=∑
M
?+
,
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#$%&' U#$%&' U