Edoc.pub_examen-resuelto-diseo-en-acero-y-madera.pdf

UNIVERSIDAD PRIVADA DE TACNA FACULTAD DE INGENIERÍA ESCUELA PROFESIONAL DE INGENIERÍA CIVIL

SOLUCIONARIO EXAMEN DE LA  PRIMERA UNIDAD ASIGNATURA: DISEÑO EN ACERO Y MADERA ALUMNA: VELIZ CABRERA, ANA LUCÍA

DOCENTE: Prof.Mag.Ig. !OSE ACERO

CICLO: I" FEC#A:

$% DE NOVIEMBRE

TACNA & PER' ($)*

). Para +a -r/0/ra 1o-ra2a, 0orar +a 0arga a13+4f40a2a 2 ra0045 3ara + +1o BC -a642o 7/: PD 8 9 43PD 8 )( 43PD 8 (; 43D4-<ar + +1o BC /-a2o / =g/+o -413+ > 2 +a2o4g/a+- 2 0a+42a2 a0ro A?*

E + 3/o C, +a 6arra BC - @r= af0a2a 3or +a 0arga P, 3or +o ao a01o- /a 2-0o13o-4045 2 f/ra- 3ara 3o2r a++ar +a f/ra 7/ a0a  -a 6arra.

Por r4goo1ra:   Tag37° =

25 V

25 25(4) 100  = = = 33.33 Tag37° 3 3

BA =

  Cos53°=

BD =

25 BD

25 25(5)  = = 41.666 Cos53° 3

Eo0- BD 8 P/ 8 ).***

 E-a2o +14 2 f+/04a P 8 P/  $.%$HF>HAg Ag ≥

Pu 0.90(36)

Ag ≥ 

41.666 0.90(36)

Ag J ).(%

¿2

K(L)   300 r (1)(5)(12) r 300

r 8 $.( 4 R@4-a2o +a- a6+a- 2 AISC, + 1=- a20/a2o - +: L2x2x3/8

(. S+004oar / +1o 2 ra0045 43o 0aa+ 2 0a+42a2 A?* 3ara 7/ r-4-a /a 0arga 2 ;$ o+a2a-. E+ +1o -= 0o0a2o a /a 0ar+a. La +og4/2 2 +a 6arra - 2 )$ 34- > +o- 3ro- a /4+4ar 4 / 24=1ro 2 K9. La 24-a04a 2+ 0ro 2+ 3ro a+ 6or2 - 2 01 > +a 24-a04a r - 2 3ro 2 K01. Dao-: A?* L8 )$ f

Pu ∅ !"#Ag

500000.9#2530#Ag Ag=21.9 $3.4 %& r≥

2

305  =1.02 $0.4 %& 300

-

S D4-<ara 0o 2o- T43o-  : C'1'.7 DATOS: 2 Ag=5.51 %& ´ =0.565 r %& =0.56 %& * + =1,2

 E-a2o L14 2 F+/04a

∅

P& =0.9#2530#5.51#2.54

∅

P& ='0943 -g

2

 E-a2o L14 2 Fra0/ra

[ ( )( )][

∅

P& =0.75#40'0# 5.512

∅

P& =79909 -g

7 1  / ' '

1 2

1

]

0.565 ( 2.54 ) 2 #2.54 14

 E.C. B+o7/ 2 Cor ∅

P&=0.75 ( 0.6#!u # A&/s #A&*# !u ) 0.75(0.6#!" # Ag/s #A&*# ! )

∅

P& =0.75 ( 0.6#40'0#29.59#/1#5.66#40'0 ) 0.75(0.6#2530#45.72/1#5.66#40'0)

71656 -g69371 -g

(

A& =2 1'2.5

(( )

A&*= 7

)

( )

7 1 1 2  / #2.54# #2.54=29.59 ' ' 2

)

7 1 1 2  / #2.54# #2.54=5.66  ' ' 2

( )

Ag =2 1'#

1 2 #2.54=47.72 2

C613 DATOS:

Ag=3.'1 %&

2

´ =0.524 r %& =0.514 %& * + =7,16

 E-a2o L14 2 F+/04a ∅

P& =0.9#2530#3.'1#2.54

∅

P& =55970 -g

2

 E-a2o L14 2 Fra0/ra

[ ( )( )] [

∅

P& =0.75#40'0# 3.'12

∅

P& =52539 -g

7 1  / ' '

7 16

1

]

0.514 ( 2.54 ) 2 #2.54 14

 E.C. B+o7/ 2 Cor ∅

P&=0.75 ( 0.6#!u # A&/s #A&*# !u ) 0.75(0.6#!" # Ag/s #A&*# ! )

∅

P&=0.75 ( 0.6#40'0#25.'9#/1#4.96#40'0 ) 0.75(0.6#2530#40/1#4.96#40'0)

62711 -g 60717 -g

(

A& =2 1'2.5

(( )

A&* = 7

(

)

( )

7 1 7 2  / #2.54# #2.54=25.'9  ' ' 16

)

7 1 7 2  / #2.54# #2.54=4.96  ' ' 16

Ag =2 1'#

)

7 2 #2.54=40  16

?. Por + 1o2o LRFD 2r14ar +a 1=Q41a 0arga 2 0o13r-45 7/ 3/2 r-4-4r +a 0o+/1a FE > 2 +a 0o+/1a CB. U4+4ar a0ro gra2o ;$. To2a- +a- a+1a- 2 +o- 3rf4+- - 0/ra  / 14-1o 3+ao. Co-42rar / @a+or 2 8)



R-4-04a 2 +a 0o+/1a CB

Para a++ar + @a+o 2 , 0-4a1o- a++ar Gf > G, 3ara 3ro02r a @r + o1ogra1a.

533  ) 1212 ! = =2.73 ( 1 ) =2.73 (1 ) =2.73 1170 (  ) 3612 2(

=10 ( 1 ) =10

Sg + o1ogra1a arr4o-ra2o 14 @a+or 2 8$.%? Va1o- + 0o13ora14o

√

KL    4.71 r !"

√

0.731212 29000   4.71 5.2' 36 19.90133.6'

#a++a1o- + @a+or 2 f

2

 29000 !=   =445.04 2 19.90 #a++a1o- + @a+or 2 ∅

∅

fcr

!" !

!r= ∅ 0.65' !" 50 445.04

∅

!r =0.9 0.65'

∅

!r =42.93-s%

50

Por /+41o a++a1o- +a 0a3a042a2 2 +a 0o+/1a ∅

P& =42.93-s% (19.90 ) ='19.96-%8s



R-4-04a 2 +a 0o+/1a FE

Para a++ar + @a+o 2 , 0-4a1o- a++ar G0 > G6, 3ara 3ro02r a @r + o1ogra1a. 2(  =

(

)

712 1170 1.5 /(  ) 2412 3612

2( =

597  ) 1212

597  ) 1212



=1.29 ( 1 ) =1.29

= ( 0 ) $1=1 ( 1 ) =1

Sg + o1ogra1a arr4o-ra2o 14 @a+or 2 8$.K9 Va1o- + 0o13ora14o

√

KL    4.71 r !"

√

0.7'1212 29000   4.71 5.31 36 21.15133.6' #a++a1o- + @a+or 2 f

2

 29000 !=   =639.'5 2 21.15

#a++a1o- + @a+or 2 ∅

∅

fcr

!" !

!r= ∅ 0.65' !"

∅

!r =0.90.65'

∅

!r =43.55-s%

50 6'9.'5

50

Por /+41o a++a1o- +a 0a3a042a2 2 +a 0o+/1a

 Pn =43.55 ksix ( 21.1 )= 91'.9 kips

∅

. Dr14ar +a 0a3a042a2 1=Q41a 2 +a 0o+/1a -a642o 7/ 4 /a 0arga /+41a 2 ?$$ o+a2a- 3ara / a3o>o ar40/+a2o  + Qr1 > 13ora2o  + oro. E+ a0ro - 2 gra2o ;$ > +a +og4/2 2 +a 0o+/1a - 2 *1. Dr14ar + @a+or 2  H? 3/o-

S 3ro02 6/-0a2o +o- @a+or- 7/ @a1o- a 0-4ar 3ara 0a2a 3rf4+ 2 +a a6+a 2 3rf4+- 2+ S+ Co-r/04o Ma/a+ AISC ($$;:

 W24x146

Ara8? 4( IQ8;9$ 4 I>8?%) 41

 MC18x58

Ara8)K.) 4( IQI>8*.K; 4 I>IQ8)K.* 4 Q >  8$.9*(  4 Noa: D642o a 7/  +a a6+a + 3rf4+ MC -= 3o-404oa2o 2 1ara 0orar4a a +a 2+ graf40o - 4 7/ o3ar 3or /-ar +o- @a+or- 2+  0orar4o a +o- 7/ -=  +a- a6+a-.

Ua @ 7/ 1o- +o- 2ao- 0-ar4o- 3ara 3o2r a++ar + ra > +a- Ir04a-  +o- - Q  > 2+ 3rf4+ 0o13/-o 7/ @a1o- a aa+4ar. Perfi C!"#$e%&!

A T =43 %&2/2 ( 17.1 %&2 ) =77.2 %&2

[

(

25.95 %& :=4560 %&2/2 17.6 %&4/17.1 %&2 0.'62 %& 2

)] 2

=9613 %&4

:" =391 %&4/2 ( 675 %&4 ) =1741 %&4

r "=

√

1741 %&4  =4.75 %& ( Seh alla el radio de giro r mas critico) 77.2 %&2

 '(!r )e T(!

τ 

E- @a+or - 3/2 a++ar 0o +a r+a045: S4

;=

 Pu =300 tn =661.4 klb  >

Ag=77.1 %&2

Pu 661.4 -<  = ='.567 -s% Ag 77.1 %&2

R@4-a2o  +a a6+a () S4ff-- R2/04o Fa0or @a+or 2 Tao

τ a , +

( τ ) - 4g/a+ a )

τ =1  Esbeltez

k = 0.'  , U-a1o- - @a+or 2 +og4/2 f04@a 2642o a 7/ + r0o12a2o 3ara + 0a-o 2 / a3o>o ar40/+a2o > / a3o>o 13ora2o  L=6 m= 600 cm  , +og4/2 2 +a 0o+/1a r = 4.75 ∈¿  , ra24o 2 g4ro 141o o 0r40o 2 +a -0045

-#L 0.' ( 600 ) =  =39.7' r 4.75 ( 2.54 ) Co13ara1o- + @a+or 2 -6+ 0o + rago 3r1442o 3ara a++ar +a f5r1/+a 2 -f/ro 0r40o 2 E/+r:

√

√

-#L  29000   4.71  =4.71   =113.43 ( Esbeltez secomprende en el rango ) r !" 50 Por +o ao: 2

!" !

> r =0.65' # !" =0.9#0.65'

50 1'0.'7

#50=40.0' -s%

2

   #29000 !=  = =1'0.'7 -s% 2 2 -#L 39.7' ( ) r Ua @ a++a2o + E-f/ro Cr40o 2 E/+r 3ro021o- a a++ar + ϕ Pn :

P&=>r #Ag=40.0' -s% ( 77.2 %&2 ) =3094.1' -<

;. D4-<ar / =g/+o 2o6+ 7/ r-4- /a f/ra 2 K$ W+6, 3ara /a +og4/2 f04@a 2 )* f > /a -3ara045 -3a+2a 0o -3a+2a 2 ?9 > /a 0a+42a2 2 a0ro A?*

 Ag ≥

Pu 0.5#!"

Ag≥

70 0.5#36

Ag≥3.'9 %&

2

Por a6+a- -0og1o- + 3rf4+: 2 L5x3 1/2x3/4

Por a6+a- -a0a1o- +a- 3ro342a2- 2+ 3rf4+ =g/+o L5x3 1/2x3/4

Ag=5.'1 %& :  =13.9%&

4

r  =1.55 %& ´ =1.74 %& ?

: " =5.52%&

4

4

´ =0.993 %& @

r " =0.974 %&

Ca+0/+a1o- +a 4r04a 2+ 2o6+ =g/+o:

:  =

∑ (:



/Ag#

2

)

2

)

:  =2# [ 13.9/0 ] :  =27.' %& : "" =

∑ (:

"

4

/Ag#

[

(

3 : "" =2# 5.52/5.'1# 0.993/ ' : " =32.79 %&

4

Ca+0/+o 2+ ra24o 2 g4ro:

r =

r "=

√ √

: 32.79  =  = 1.6' %& A 2#5.'1

S3ara045 2 0o0or-

( )

-a -L 0.75# r% r

"

(

(1)a 16#12  0.75# 0.974 1.6'

a0.974#0.75#

a64.63 8u
(

)

16#12 2.17

"

)

√ √

: 27.'  =  = 1.55 %& A 2#5.'1

)] 2

a5.39 !* a=4 !*

a 4#12 =  =49.2' r % 0.974 a ≥40 r %&

( ) √( ) ( )

-L =B r

=



( ) √( -L r

=



( ) -L r

-L r

16#12 1.6'

2

o

-a / r%

) ( 2

0.5#4#12 / 0.974

=116.914.71



2

√

)

2

 !"

116.91133.6' Ca+0/+o 2+ -f/ro 2 E/+r 2

2

 #  #29000 ! =  =  =20.94 2 -L ( 116.91 )2 r

( )

!" !

! = ∅ #0.65' #!"=0.9#0.65'

∅ r

∅

36 20.94

#36=15.7'

P& = ∅ ! r #Ag=15.7'#5.'1#2=1'3.36 -%8s

D-arro++o 3or Pa2o F+Qoor04oa+ •

Para 1416ro- 0o -41ra 2o6+

=

[ [

2

 C +

( -L )2

]

/ #

1 : / :"

]

2

 #29000#1.52 1 =   /11200#1.09 # 27.'/32.79 ( 16#12 )2 = [ 11.'0/1220' ] #

1 27.'/32.79

=1220'#

1 27.'/32.79

=201.49 !" !

! = ∅ #0.65' #!"=0.9#0.65'

∅ r

∅

36 201.49

#36=30.07

P& = ∅ ! r #Ag=30.07#5.'1#2=349.41 -%8s

*. D4-<ar /a @4ga 2 1a2ra 43o I, 2 6a- 68, a+/ra 89, 2o2 , - + -3-or 2 +a 1a2ra. Para / 3/ 3aoa+ 2 )( 1 2 +og4/2 Hfor1a2a 3or  @4ga-. La 1a2ra - 2 43o A, + a0o 2+ 3/ 2  1 H( @4ga- 2 6or2 > 2o- 0ra+-, +a -o6r0arga - 2 ;$$ Wg1(, 3-o 3ro34o 2 );$ Wg1( > +a 0arga 2 +a- 6ara2a- 2;$ Wg1. D4-<ar -/ a6+a2o r @4ga-.

 METRADO DE CAR*AS

CM 

P. 3ro34o : H);$Wg1( X 1 8 );$ Wg1 C' 

SC 8 H;$$ g1(X?.*$1 8 ;$ Wg1  CU 8 );$  ;$ 8 *$$ g1

2

•

•

=

M 1aQ 8

600 kg / m∗(12 m) '

V 1aQ 8

600 kg / m∗12  8 ?*$$ Wg 2

G  E

#('*)

3

 8 )$9$$ Wg.1

3

2(1.5*# ( 6 * ) )  12 142.'6 

G ≥  5

10.'# 10

=

=29.17 *

3

3

3

; 8ro =

V 39000  = =12.4'H15-g,2 A+ 6.25#50 ;=

3

(

25#50 9.34#37.5 := 2 12 12

3

)

VI :*

=17'326.'

=25#6.25#21.'9/6.25#1'.75#9.3'=4517.19 

;=

3600#4517.19 -g -g  =14.59 2  H15 2 17'326.2'#6.25  

3

4