Resistencia Dos Materiais

MOMENTOS E REAÇÕES EM VIGAS ISOSTÁTICAS COM COM DIVERSAS FORMAS DE CARREGAMENT CARREGAMENTOS OS C AR G A SOLICITAÇÃO P= L=

MOMENTO MÁXIMO

500.0

L/2

5

m

5000.0

Kg cm cm

EM METROS

P= a= b=

80.0 40.0

3$!00

P= a=

600.0

a

a

a

48.E.J

Jx = 162 Wx = 31.04

%.30

U4" x 1.½" x 8,03

Wreq.=

cm

26.79

P.b P.b L

=

1'''.'$ #

=

3333.33 #

F=

P.L³ P.L³ . 1

a² . b²

E.J

L

3

& 3" x 3"x 1/%" 1/%" Jx = 91 Wx = 18

L

M = 133333.33 Kg/cm

M =

R =

P.a P.a L

P.a P.a

38%!0

M =

P

Wreq.=

cm

95.24

Perfil Insuficine! ene "ur"

F= RA/ =

0.$44%

F=

=

4!0.0

I3" x %.(" x 8,48

P.a P.a . (3b²+8a²+12ab).1 (3b²+8a²+12ab).1 E.J

24

#

0.8!83

F=

Kg/cm

cm

Jx = 104 Wx = 27.8 27.32 Wreq.=

Perfil OK

B

I'" x 3.(" x 18,'0

Kg cm

M =

B

a

M=

Jx = 907.3 Wx = 119.6

P.L P.L 2

144000

Kg/cm

RA/ =

3.P 2

=

)00.00

#

Wreq.=

102.86

P P

P

a

F= F=

RA =

L

P P

a

#

Kg/cm

P.a.b P.a.b

M =

B

120.0

P

1!0.0

Perfil ->

450.0 P= Kg 85.0 a= cm 51.0 b= cm P P

b

2

=

P.L³ P.L³

a>b

b

a

P

Perfil OK

P

a

RA/ =

4

M =

B

L/2

P.L P.L

M =

600

P

FLECHA E VERIFICAÇÕES

Perfil ->

Kg cm

300.0

C ON CE NT RAD A

REAÇÕES DO APOIO

a

a

B

a

Perfil OK

MOMENTOS MOMENTOS E REAÇÕES REAÇÕES EM VIGAS VIGAS ISOSTÁTICAS ISOSTÁTICAS COM DIVERSAS DIVERSAS FORMAS FORMAS DE CARREGAMEN CARREGAMENTOS TOS C AR GA #= L=

15.0 1200.0

Kg/cm cm

q B

D IS TR I U* DA


I10" x 4.+" x 44,'! M = M=

q.L² 8

%$00000

RA/ =

q.L 2

F= =

)000.00 # F=

Kg/cm

Jx = 5556.3 Wx = 437.5

P.L³ P.L³ . 5 E.J

384

0.0%8)

cm

Wreq.=

1928.57

L

Perfil Insuficiene! ene "ur"

#= a= b=

200.0 80.0 20.0

q

Kg/cm cm cm

B a

b

#= c= L= !

200.0 20.0 120.0

c

c

Kg/cm cm cm B

& 3" x 3"x 3"x 1/%" M = M=

RA =

q.a²(L+b)²

q.a(L+b) 2L

=

)'00.00 #

=

'400.00 #

Jx = 91 Wx = 18

8.L²

%30400

Kg/cm

R =

q.a² 2L

Wreq.=

164.57


& 3" x 3"x 3"x 1/%" M =

q.c.(Lc) 2

Jx = 91 Wx = 18

P P

P

a

a

a

B

a

Perfil OK

MOMENTOS MOMENTOS E REAÇÕES REAÇÕES EM VIGAS VIGAS ISOSTÁTICAS ISOSTÁTICAS COM DIVERSAS DIVERSAS FORMAS FORMAS DE CARREGAMEN CARREGAMENTOS TOS C AR GA #= L=

15.0 1200.0

Kg/cm cm

q B

D IS TR I U* DA


I10" x 4.+" x 44,'! M = M=

q.L² 8

RA/ =

%$00000

q.L 2

F= =

)000.00 # F=

Kg/cm

Jx = 5556.3 Wx = 437.5

P.L³ P.L³ . 5 E.J

384

0.0%8)

cm

Wreq.=

1928.57

L


#= a= b=

200.0 80.0 20.0

q

Kg/cm cm cm

B a

b

#= c= L= !

!

200.0 20.0 120.0

c

c

c

c

Kg/cm cm cm

& 3" x 3"x 3"x 1/%" M = M=

#= a= b= c=

q.a²(L+b)²

2L

=

)'00.00 #

=

'400.00 #

Jx = 91 Wx = 18

8.L²

%30400

Kg/cm

R =

q.a² 2L

Wreq.=


M =

Jx = 91 Wx = 18

q.c.(Lc) 2

B

RA/ =

B

%00000

q.c

=

4000.0

#

Kg/cm

20.0 30.0 10.0

Kg/cm cm cm cm

c

a

B

c

b

142.86


L/2

5000.0

Wreq.=

& 3" x 3"x 1/%" M =

q.a.c.(bc + ac) L

RA =

L²

2.q.c(Lc) L

=

80000.00 #

Jx = 91 Wx = 18 Wreq.=

!

164.57

& 3" x 3"x 3"x 1/%"

M= L/2

RA =

q.a(L+b)

M=

)'0000

Kg/cm

R =

2.q.c(Lb) L

=

40000.00 # Perfil Insuficiene! ene "ur"

685.71

!

c

RA/ =

B

c

M= L/2

#= a= b= c=

%00000

q.c

=

4000.0

#

Kg/cm

20.0 30.0 10.0

Kg/cm cm cm cm

& 3" x 3"x 1/%" M =

q.a.c.(bc + ac) L

RA =

L²

2.q.c(Lc) L

=

Jx = 91 Wx = 18

80000.00 #

Wreq.=

!

c

a

B

c

142.86


L/2

5000.0

Wreq.=

M=

)'0000

Kg/cm

R =

2.q.c(Lb) L

=

685.71

40000.00 # Perfil Insuficiene! ene "ur"

b

FLAMA!EM DE HASTES Aplicação:

PERFIL

I6" x 3.⅜" x 21,95

C"#g" $%&'c'(")"/(#"*"&+%

C

=

C%m.#'m0(% ) 1&"m*"gm

L

=

,,-234

= = =

2425,465--

Tensão e Escoamen!o Tensão e R#p!#$a Tensão Am Comp$essão

kg cm Kg/cm" Kg/cm" Kg/cm"

FLAMA!EM DE HASTES Aplicação:

PERFIL

I6" x 3.⅜" x 21,95

C"#g" $%&'c'(")"/(#"*"&+%

C

=

C%m.#'m0(% ) 1&"m*"gm

L

=

,,-234

= = =

2425,465--

Kg/cm" Kg/cm" Kg/cm"

= = = = =

26----7895 28937 6984 2

kg/cm" cm cm" cm n-

= = =

E:LLER 646 ;,2 248;4

#n kg/cm" kg

kadm =

627;7

kg

Tensão e Escoamen!o Tensão e R#p!#$a Tensão Am Comp$essão M%#lo e elas!iciae Momen!o e in&$cia '(min) *$ea a seção o pe$+il Raio e gi$ação ' ρ min) ,a!o$ e seg#$ança

.nice e esel!e '1) Tensão e +lamagem 3eso e +lamagem C4e !$aalo c/ ,a!o$ seg#$ança

I3< x ,9< x 26>;4

E ( S R k

2 T 3+l

?

PERFIL S:FICIENTE

kg cm

$I%&'(IO')%&'*O $& &I+O( (I%PL&( DESCRIÇÃO DO EIXO , $O &I+O

50

%)*&I)L

()& 1050 La/ina"

*a/. le"

2300.0

mm

Kg/cm2 LLO(

7ESCR.89O Ca$ga = ão li<$e = ão ca$$egao = Ca$ga is!$i#ia = A+as!amen!os = Mo4 Elas!iciae= Momen!o in&$cia = Mom4 $esis!en!e =

AR.*EL

;

7A7OS

P L    &  :

10!000 8 2.5 00040

0.5 20000000 30.68 12.27

=

kg

3 "

M+ ma@4 =

;4c 4 'Lc) >

?+ nec4 =

M+ Tam

kg/cm>  cm

T+le@ão =

 cm

,le@a =

M+ ?+ ; L @ 5 L E ( B

cm cm kg/cml

4000.0 kg/cml

cm

7500 kg/cm 3.3

cm

611.2 kg/cm> 0.0003

cm

"

T+le@4

36692

@

Tam4 ,le@4

2,--9--

P

&I+O (II&'*& P)) ) );)

C

C L

DESENVO&VIMENTO -ARA FARICAÇO DE -ARAFUSO E&ICOIDA& $a '

#

$

b

( Pa%%&

S = D = = =

30 80 48 16

mm mm mm mm

'3asso o 3a$a+#so) '7ime!$o Maio$) '7ime!$o Meno$) 'Al!#$a o passo)

U=

D2 . 2 5 S2

=

%!3.11% mm

'7esen
6=

2 . 2 5 S2

=

1!3.$!% mm

'7esen
=

D 7  %

=

16.000 mm

'Al!#$a o passo)

=

.6 U76

=

%4.$!) mm

'Raio meno$ pa$a esen
R =

5

=

40.$!) mm

'Raio maio$ pa$a esen
-R =

R . % . -

=

%!'.0)! mm

'3e$Dme!$o o Raio Maio$ esen
- =

 . % . -

=

1!!.!'4 mm

'3e$Dme!$o o Raio meno$ esen
D9 =

-R 7 U

=

%.)83

mm

'7esen
A:# =

0.$113$4%

=

4.1)3

-

'ng#lo a ae$!#$a)

C=

;<: A:#. R %

=

%.)8%

mm

'Co$a a Ae$!#$a)

ATRITO DE ESCORRE!AMENTO #%0B1##%

TIPO DO ATRITO ,

; = cos /

;

5000 K
Carga = Ângulo do Piso (b) = Ângulo do cambão (a) =

4

4

4

4

FORÇA NA DESCIDA Kg SECO

L:RIFICADO

inDcio mo<4

#$an!e mo<4

inDcio mo<4

#$an!e mo<4

2886.75

3370.47

2886.75

2886.75

FORÇA NA S:IDA Kg SECO

L:RIFICADO

inDcio mo<4

#$an!e mo<4

inDcio mo<4

#$an!e mo<4

2886.75

4048.92

2886.75

2886.75

LINHAS DE VIDA CAGO 7E A8O AA 6@JI 'C.MA,) DADOS DO CAO I45 54I Ca$ga $#p4 '!+) 04I5 ,a!o$ J0000 E  Kg/mm" 5465 *$ea me!4 'mm")  mm

,a!o$ e seg#$ança >:J

7im4 Al!4 ;#ea 34 Co$po

C4inm4 co$po

,/7< 69, 65J ;3,;92,

m Kg

e!ons

=

;729;,

Kg+

VÃO m 4

894

6-

6294

64

6894

2-

2294

24

N450 J4NI 5J4>I >5>546 5B4II 646I >>N460 >60400

564>5 >046B N64I NBB46 5B4B 6B4I0 J66045> >60400

N5400 >N45N J0>45N 505J4>I NJN4IB B640J J664IB >60400

I4N5 4N J>B4>> 6J4JJ BIN4N 64>B JJI04B5 >60400

JJ>450 J46 J54B6 N5N64I J0N64IN 04J> J0N4 >60400

JJ4>5 B4>5 JNI450 BBI4N5 J>5646 >NI4 IBI45N >60400

J50400 554J5 >054J5 J0J0>45N J54I6 >6J46B I>646N >60400

J6B4N5 6>40 >04NI JJ654I J6J545 >N4B6 BNN4N5 >60400

JBN450 6B4I >564 J>6>B4>> JNI4I5 >64BJ BB46J >60400

N MÁX9 DE PESSOAS

69-

69-

69-

69-

29-

29-

29-

29-

29-

Al!#$a mDn4 o piso 'm)

4>

4

45

4N

4I

54J

54>

54

546

04J B40I

04J B40I

04J B40I

04J B40I

04J B40I

04J B40I

7e+o$m4 con+o$m4 o cao 'mm) 7e+o$m4 Els!ica 'mm) Along4 Cao c/ ca$ga aplic4 'mm) Comp$im4 Cao ca$$egao 'mm)

,leca 'mm) Ca$ga no co$po ';) Tensão cao 'Kg) Tensão am4 'Kg)

C&I-AGEM DO CAO - mDn4 e clips

Espaçam4 en!$e clips 'mm)

To$P#e 4m

2

57

41

OS9 CONFORME NORMA OSHA E ASSE Am#'c"0 S%c'(G %1 S"1(G E0g'0#$ ng#lo o cao $aianos 04J 04J 04J ng#lo o cao g$a#s B40I B40I B40I

!RAD:AÇÃO VOL:MTRICA EM CILINDROS HORIONTAIS D'm9

29- m

J

C%m.#'m9 29- m cm 69694 29294 ,9,94 59594 49494 39394 89894 79794 ;9;94 6-96-94 6696694 6296294 6,96,94 6596594 6496494 6396394 6896894 6796794

&'(#%$ JN4NN J6645J J046 J4B5 JI45J >456 >I4II 54N6 J4B5 B4> 54I> 6J4BB 6I4JJ N645B B40 I>4>6 J004 J0B4B JJN45 J>64>N J54>I J45J J54IJ J645J JN4>B JB4> JI45 >046 >J40I >>4NJ >54B >64J >5N4I >6B4N> >B040I >IJ46J

cm 2-92-94 2692694 2292294 2,92,94 2592594 2492494 2392394 2892894 2792794 2;92;94 ,-9,-94 ,69,694 ,29,294 ,,9,,94 ,59,594 ,49,494 ,39,394 ,89,894

&'(#%$ J6450 J>4N> 0B4N> 045J 0040I >I546 >I>405 >B64I0 >BJ456 >N5400 >6I4> 0400 0400 0400 0400 0400 0400 0400 0400 0400 0400 0400 0400 0400 0400 0400 0400 0400 0400 0400 0400 0400 0400 0400 0400 0400

cm ,794 ,;9,;94 5-95-94 5695694 5295294 5,95,94 5595594 5495494 5395394 5895894 5795794 5;95;94 4-94-94 4694694 4294294 4,94,94 4594594 4494494 439-

co$a 04>B>J 045J0I 4 4 es QQQ 046B5

&'(#%$

cm 4894894 4794794 4;94;94 3-93-94 3693694 3293294 3,93,94 3593594 3493494 3393394 3893894 3793794 3;93;94 8-98-94 8698694 8298294 8,98,94 8598594

&'(#%$

04IB 04J 04B6> 045>5 4 4 4 4 QQQ 04BJ5J QQQ 0450N06

cm 8494 8398394 8898894 8798794 8;98;94 7-97-94 7697694 7297294 7,97,94 7597594 7497494 7397394 7897894 7797794 7;97;94 ;-9;-94 ;69;694 ;29;294 ;,9-

&'(#%$

cm ;59;594 ;49;494 ;39;394 ;89;894 ;79;794 ;;9;;94 6--96--94 6-696-694 6-296-294 6-,96-,94 6-596-594 6-496-494 6-396-394 6-896-894 6-796-794 6-;96-;94 66-966-94 666966694

&'(#%$

4

0456 045I>J> 046>5 0465JJ 4 4 4 QQQ 0460>>N 0465J>J 046660

cm 66294 66,966,94 665966594 664966494 663966394 668966894 667966794 66;966;94 62-962-94 626962694 622962294 62,962,94 625962594 624962494 623962394 628962894 627962794 62;962;94 6,-9-

&'(#%$

cm 6,696,694 6,296,294 6,,96,,94 6,596,594 6,496,494 6,396,394 6,896,894 6,796,794 6,;96,;94 65-965-94 656965694 652965294 65,965,94 655965594 654965494 653965394 658965894 657965794

&'(#%$

!RAD:AÇÃO VOL:MTRICA EM CILINDROS HORIONTAIS D'm9

29- m

J

C%m.#'m9 29- m cm 69694 29294 ,9,94 59594 49494 39394 89894 79794 ;9;94 6-96-94 6696694 6296294 6,96,94 6596594 6496494 6396394 6896894 6796794

&'(#%$ JN4NN J6645J J046 J4B5 JI45J >456 >I4II 54N6 J4B5 B4> 54I> 6J4BB 6I4JJ N645B B40 I>4>6 J004 J0B4B JJN45 J>64>N J54>I J45J J54IJ J645J JN4>B JB4> JI45 >046 >J40I >>4NJ >54B >64J >5N4I >6B4N> >B040I >IJ46J

cm 2-92-94 2692694 2292294 2,92,94 2592594 2492494 2392394 2892894 2792794 2;92;94 ,-9,-94 ,69,694 ,29,294 ,,9,,94 ,59,594 ,49,494 ,39,394 ,89,894

&'(#%$ J6450 J>4N> 0B4N> 045J 0040I >I546 >I>405 >B64I0 >BJ456 >N5400 >6I4> 0400 0400 0400 0400 0400 0400 0400 0400 0400 0400 0400 0400 0400 0400 0400 0400 0400 0400 0400 0400 0400 0400 0400 0400 0400

cm ,794 ,;9,;94 5-95-94 5695694 5295294 5,95,94 5595594 5495494 5395394 5895894 5795794 5;95;94 4-94-94 4694694 4294294 4,94,94 4594594 4494494 439-

6;9-

04>N

,79-

0400

4394

co$a 04>B>J 045J0I 4 4 es QQQ 046B5

&'(#%$

cm 4894894 4794794 4;94;94 3-93-94 3693694 3293294 3,93,94 3593594 3493494 3393394 3893894 3793794 3;93;94 8-98-94 8698694 8298294 8,98,94 8598594

849-

&'(#%$

04IB 04J 04B6> 045>5 4 4 4 4 QQQ 04BJ5J QQQ 0450N06

cm 8494 8398394 8898894 8798794 8;98;94 7-97-94 7697694 7297294 7,97,94 7597594 7497494 7397394 7897894 7797794 7;97;94 ;-9;-94 ;69;694 ;29;294 ;,9-

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