mecánica para ingenieros hibbeler, sexta edición problemas cap. 1-4

7/25/2019 Mecnica para ingenieros Hibbeler, sexta edicin problemas cap. 1-4

1/64

0.006lbCos30=ca/0.006Ca=0.005196lbSen30=co/0.006Co=0.003lb

Rcos30+Acos(theta)=0.0051960.8660R+Acos(theta)=0.005196R=0.005196-Acos(theta)/0.8660R=0.006-(A/0.8660)(cos(theta))

Rsen30-Asen(theta)=0.003(0.006-(A/0.8660)(cos(theta)))se(0.006-(A/0.8660)(cos(theta)))0.0.003-0.5774A(cos(theta))-Asen0.5774A(cos(theta))+Asen(thetaA(0.5774cos(theta)+sen(theta))0.5774cos(theta)+sen(theta)=00.5774cos(theta)=-sen(theta)

-0.5774=sen(theta)/cos(theta)-0.5774=tan(theta)


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!=0Ccos(theta)-"cos(theta)=0Ccos(theta) ="cos(theta)C="=

$=0%sen(theta)-&=0%sen(theta)=&='/%sen-1(theta)


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4/64

Theta=30S=l-loo=%l=%/cos(theta)=%/cos30=%.30

S=%.3094-%=0.3094t=*s=(30)(0.3094)=9.%8%lb

=0,cos(theta)-Ccos(theta)=0,cos(theta)=Ccos(theta),=C=

=0%sen(theta)-1=0%(9.%8%lb)sen(30)=11=9.%8%lb


5/64

Tc=tan-1(4/4)=45T=tan-(3/4)=36.8699A=*s=(80)(3)=%40

=0Ccos(Tc)+,cos(T)-%40=0

0.7071C+0.8,=%40,=300-0.8839C

=0Csen(Tc)-,sen(T)=00.7071C-(300-0.8839C)(0.6)=00.7071C-180+0.5303C=01.%374C=180C=145.4663

,=300-0.8839(145.4663)=171.4


6/64

C=(10)(9.81)=98.1

6=(ca)/cos(tb)+()/cos(ta)

1=(()/cos(ta))(sen(ta)- ((ca)/cos1=()(tan(ta))-(ca)(tan(tb))

Sen=co/hCos=ca/h


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8/64

=0

=

21=-4-6+5*tR1=8.7750t1=1-0.4559-0.6838+0.5698*

%=%0+1+0*t

Cos%(60)+cos%(40)+cos%($)=1Cos%($)=1-0.8368Cos($)=0.4040

$=cos-1(0.4040)$=66.1715

3=30.5+0.7660+0.4040*

4=0+0-%00*lb

=0-0.4550.533=0.

=0-0.683

-0.6838)1=-0.683

1=03=0

=0%-%0%=%0


9/64

=0

1=1-0.5+0.5+0.7071*%=%0-1+0*3=30-0.5+0.8660*4=1.414%+1.414%+0**5=0+0-5**

=01+4=0-0.51+1.414%*=01=%.8%84*

=01+%+3+4=0(%.8%84*)(0.5)-%-0.53+1.414%%.8%84*-0.53=%

=01+3-5=0(0.7071)(%.8%84*)+0.86603-5*3=3.464%*

%=1.0963*

0


10/64

=0

1=10.5-0.7071+0.5*%=%1+0+0*3=30-1+0*4=-480+640+0*lb5=0+0-%00*lb

=01+%+4=00.51+%-480lb=0%=480lb-0.51

=01+3+4=0

-0.70711-3+640lb=03=640lb-0.70711

=01+5=00.51-%00lb=01=400lb

%=%83=35


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1=10.3846-0.9%31+0*%=%0+0.819%-0.5736*3=3-0.5+0.5+0.7071*4=0-6.9%8%+4**

=0

1+3=00.38461-0.53=03=0.769%1 1=1.30013

=01+%+3+4=0-0.9%311+0.819%%+0.53-6.9%8%*=0-1.%0013+0.819%%+0.53=6.9%8%*-0.70013+0.819%%=6.9%8%*%=8.4573*+0.85463

=0%+3+4=0-0.5736%+0.70713+4*=0(8.4573*+0.85463)(-0.5736)+0.70713

-4.8511*-0.490%3+0.70713=-4*0.%1693=0.8511*

3=%=1=


12/64

=0

1=1-0.7071+0.7071+0*%=%0-0.7660+0.64%8*3=30+1+0*4=0+0-%00*lb

=0-0.70711=01=0

=0%+3=0-0.7660%+3=0

3=0.7660%

=0%+4=00.64%8%-%00lb=0%=311.138lb

3=%38.3318lb


13/64

=89.81=78.48

"="0+1+0*C=C1+0+0*,=,-0.3333-0.6667+0.6667*=0+0-78.48*

=0C+,=0C-0.3333,=0C=0.3333,

=0"+,=0

"-0.6667,=0"=0.6667,

=0,+=00.6667,-=0,=117.7141


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=0

,=,0+0.6+0.8*"="-0.316%-0.9487+0*A=A0.316%-0.9487+0*=500lb

=0A+"=00.316%A-0.316%"=0A="=:

=0%:+,=0

(%)(-0.9487):+0.6,=00.6,=1.8974::=0.316%,

=0,+C=00.8,-500lb=0,=6%5lb

:=197


15/64

=(%5)(9.81)=%45.%5

"="0+0.7071+0.7071*C=C-0.5-0.8660+0.5*,=,0.5-0.8660+0.5*

=0,+C=0-0.5C+0.5,=0C=,=:

=0%:+"=0%(-0.8660):+0.7071"=0

-1.73%:+0.7071"=0"=%.4494:

=0%:+"+=0(%)(0.5):+0.7071"-%45.%5=0:+0.7071"=%45.%5:+(0.7071%.4494:)=%45.%5

%.73%:=%45.%5


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=((8103)*;)(9.81)=(8000*;

"="0.3%46+0.5%41-0.7861*C=C-0.3%76+0.5%41-0.7861*,=,0-0.316%-0.9487*

=0"=C=:

=0"+C+,=00.5%41(%):-0.316%,=01.048%:=0.316%,,=3.315:

=0+%:+,=078480=(%)(0.7861):+0.9487,78480=1.57%%:+0.9487(3.315:78480=4.7171:

:=16637.3407

,=5515%.7846


17/64

=0+0+1*"=199.99+300.0%-599.97*C=C-0.%308+0.3077-0.9%31*,=,-0.3333-0.6667-0.6667*

=0

199.99-0.%308C-0.3333,=0199.99=0.%308C+0.3333,C=866.5078-1.4441,

=0300.0%+0.3077(866.5078-1.44300.0%+%66.6%45-0.4443,-0.61.111,=566.6445

,=510.0311

=0-599.97-0.9%31C-0.6667,=0=1059.9848

C=1%9.9719


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19/64

=-%00+480


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21/64

< = (2sen(theta))< = b .

=-6-3n"=6+3nA=1%-5n

"=1%+6n"=-%8.%843-%8.%843lb


22/64

< = 2 < = (2sen(theta))()< = b .

=-5-6>A=4+1>"=-%-4>

A=9+7>A=-353.5534+353.5534


23/64

< = (2sen(theta))()< = b .

2=7+0.5n=-15-%5.9808lb


24/64


25/64

R1=8+0t1=0-375lb


26/64

R1=-11+0t1=0-375lb>150>>cos15 144 8889>>


27/64

150>>cos15=144.8889>>75>>sen30=37.5>>150>>sen15=38.8%%9>>%0cos75=5.1764>>%0sen75=19.3185>>

R=-85.1134+57.0044>=-386.3703+103.5%76


28/64

R=8+%t=40cos(theta)-sen(theta)lb


29/64

R% 0+450%=%5.9808+15


30/64

R=-43+6nR=-3.5833+0.5t=150sen(theta)+150cos(thet


31/64

R=-43+6n

R=-3.5833+0.5t=0.5+0.8660lb


32/64

@ 0+0+0*A=5+0-4*t"=%+8+0*t

R=-3+8+4*tR=9.4340t=-0.3180+0.8480+0.4%40

==-6.360+16.96+8.48*


33/64

=-3-6+%*tA=5+0-4*t"=%+8+0*t

R=-3+8+4*t

R=9.4340t=-0.3180+0.8480+0.4%40==-6.360+16.96+8.48*lb

Ra=8+6-6*t


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35/64


36/64

"C=%-3-6*>"C= 7>=0.%857-0.4%86-0.8571* = = 39.998-60.004-1%0


37/64

R1=0+1.%+0.8*>1=30+%0-30*.

R%=-0.4+1.%+0.8*>%=60-10-35*

.

..

Ala=1%5.8370"eta=66.74%8Ba>>a=135.0744

i

0

30

i

-0.4

60

R1=0+1 %+0*>


38/64

R1=0+1.%+0*>1=30+%0-30*.

R%=-0.4+1.%+0*>%=60-10-35*

.

..

Alha=1%6.6%3%"eta=96.1466Ba>>a=14%.6931

i

0

30

i

-0.4

60

Rb=0-0.6+0*>R"C=-0.4+0.6+0.%*>


39/64

R"C= 0.7483>=-0.5345+0.8018+0.%673*=-53.45+80.18l+%6.73*

=-53.45+80.18+%6.73*


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41/64

=50+60+30*lb


42/64

A=4+0+0*"=0+0+4*

Rc=4-4+0*tRb=-4+0+4*t

Rb= 5.6569t=-0.7071+0+0.7071*=-56.568+0+56.568*lb


43/64

R=-0.75+1.%+1.%990*>

i

-0.75

0

R=0.55+0.4-0.%*>=44.5336+53.0731-40*


44/64

=44.5336+53.0731-40*


45/64


46/64

R=3+b-c*n

-b+%c=-13-3c=-36-3b=-9

C=%n"=5n

i

3

3

-1

R=+%+*> 5 3 4**


47/64

i

!

-5

-17

=-5+3-4**

-8-3=-174-5=-73+10=16

!=%D=3

R=++3*> 5 3 4**


48/64

i

!

-5

-17

=-5+3-4**

-4-9=-174-15=-33+5=19

$=%>!=3>

,=3.6304>

=6-%+1**

*


49/64

R=1++*>

+%=4-1+6=5-%-6=-14

$=%>D=1>

i

1

6

4

=6+8+10*R 1 *


50/64

R=1++*>

10-8=-14-10+6=88-6=%

$=1>D=3>

=1.1489>

i

1

6

-14

=50-%0+%0*R=1-%+6*>


51/64

R 1 %+6*>=0+0.8+0.6*

0

1

50

0

1

=0 6618+0 7167 0 %%05*


52/64

=0.6618+0.7167-0.%%05*

1=3+%-4**R1=6+8+0*>

%=0.5-%+7**R%=5-4+0*>


53/64


54/64

((

(

i j k

-0.3 0.8 0.6

80 -40 -1%0

R=-0.3+0.8+0.6*>=80-40-1%0*


55/64


56/64

=8-1+1*lbR=%-8+3*n


57/64

R=3-%.8191+%.9739*t=0.5907-0.5551+0.5856*

=11.814-11.10%+11.71%*lbR=0+%.8191+1.0%61*t

(


58/64

R=0.%5+0.075+0.3*>

(


59/64

i j k

0.1414

0.3-

0.1414

-13.85

60 8

R=0.1414+0.3-0.1414*>

((

=300+300+4%4.%641*R=-0.1+0+0.15*>


60/64

((

i j k

-0.1 0 0.15

300 300 4%4.%6

41

D=50cos30=-43.3013E=50sen30=%5$ 17 6777


61/64

$=-17.6777!=-17.6777

=-17.6777-17.6777-43.3013*R=0.9+0+1.%*>

((

i J k

0.9 0 1.%

-17.677

7

-17.677

7

-43.301

3

CA=-0.6306-0.7761+0*


62/64

-0.6306 0

5 -

0.%673

-0.6306 -

5

R=5+10+15*t=-0.%673+0.5345-0.8018*

(-0.6306)(10)(-0.8018)+(-0.%6

(5)(-0.7761)(-0.8018)-(-0.630610.11%4=%00=19.7777lb

=0+0-60*R=0.4646+0.9899+0*>


63/64

i

0.4646 0.9

0

R60=14.8


64/64

i j k

-0.1 0 0.15

300 300 4%4.%6

41

mecánica para ingenieros hibbeler, sexta edición problemas cap. 1-4

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