Types of Support Calculation and Reaction

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Types Of Support

Calculation AndReaction





Kush Bhatt 130460119010Kush Bhatt 130460119010

Siddhant Bhasar 130460119011Siddhant Bhasar 130460119011

!ayesh Bho"#ani 13046011901$ !ayesh Bho"#ani 13046011901$

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NEED FOR SUPPORT

THE LOAD CARRYINGSTRUCTURES NEED SUPPORTS

TO AVOID -DEFORMATION

-BENDING

-INSTABILITY



POINT LOAD



UDL

Length = lLength = L



UNIFORMLY VARYING

LOAD



COMBINED UDL AND UVL

=

W= 15N!"



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



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




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




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



Idel"*ed SupportsIdel"*ed Supports



Idel"*ed SupportsIdel"*ed Supports



SIMPLE SUPPORT



ROLLER SUPPORT

LOCATION OFROLLER BEARINGTO SUPPORT (ETENGINE ROTOR



HINGED SUPPORT

'NEE



COMBINED SUPPORT

HINGEDSUPPORT

ROLLER SUPPORT

DISTRITIBUTED LOAD = *



-on&entrted nd D"str"$uted-on&entrted nd D"str"$uted

LodsLods



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



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



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



E,!pleE,!ple

2323



E,!pleE,!ple

2424



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0.15” at

base with1draftangle for

ribs

0.5”

4.0”

0.125”

Force=100lbs distributed

inches y

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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



Type of <e!s Type of <e!s

Stt"&lly Indeter!"nteStt"&lly Indeter!"nte

2727

Continuous Beam

Propped Cantilever Beam

Fixed Beam



2828



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

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F y

9

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kNm x M

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Types of Support Calculation and Reaction

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