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Solution of a system?

July 27, 2015, 9:21 am
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Cheers!

I'm having a problem with my student work, about to have a solution of 6 equations... Can help me in this file? i dont know how to solve this... this had-me a null solve...

 

 


Thanks for the help =)

> 

restart

> 

M1 := 0.15e5;

0.15e5

 

0.60e5

 

0

 

0.12e5

 

21000.00000

 

3

 

1

 

2.5

 

1

 

3

(1)
> 

`σadm` := 175*10^6;

175000000

 

(1/300000)*L

 

210000000000

(2)
> 

> 

> 

Atria := (3.5*12)/(LBC+LCD)

12.00000000

(3)
> 

> 

Ctria := LAB+LBC+(1/3)*(2*(LCD+LDE))

6.333333334

(4)
> 

> 

AiXil := Atria*Ctria

76.00000001

(5)
> 

> 

C := AiXil/Atria

6.333333334

(6)
> 

``

> 

``

> 

> 

``

> 

SumFX := FAx;

FAx

(7)
> 

SumFY := FAy+FCy+FEy-F5-QTria;

FAy+FCy+FEy-81000.00000

(8)
> 

SumMA := FCy*(LAB+LBC)-F5*(LAB+LBC)+FEy*(LAB+LBC+LCD+LDE)+M1-MA-QTria*Ctria;

4*FCy-358000.0000+7.5*FEy-MA

(9)
> 

NULL

> 

``

> 

> 

``

> 

EIYac := EIYo+`EIθo`*x+M1*(x+0)^3/factorial(3);

EIYo+`EIθo`*x+2500.000000*x^3

(10)
> 

EIYce := EIYac+FCy*(x-4)^3/factorial(3)-F5*(x-4)^3/factorial(3)-q5*(x-4)^5/((3.5)*factorial(5));

EIYo+`EIθo`*x+2500.000000*x^3+(1/6)*FCy*(x-4)^3-10000.00000*(x-4)^3-28.57142857*(x-4)^5

(11)
> 

EIYef := EIYce+FEy*(x-7.5)^3/factorial(3)+(1/3)*q5*(x-7.5)^5/factorial(5);

EIYo+`EIθo`*x+2500.000000*x^3+(1/6)*FCy*(x-4)^3-10000.00000*(x-4)^3-28.57142857*(x-4)^5+(1/6)*FEy*(x-7.5)^3+33.33333333*(x-7.5)^5

(12)
> 

> 

`EIθac` := diff(EIYac, x);

`EIθo`+7500.000000*x^2

(13)
> 

`EIθce` := diff(EIYce, x);

`EIθo`+7500.000000*x^2+(1/2)*FCy*(x-4)^2-30000.00000*(x-4)^2-142.8571428*(x-4)^4

(14)
> 

`EIθef` := diff(EIYef, x);

`EIθo`+7500.000000*x^2+(1/2)*FCy*(x-4)^2-30000.00000*(x-4)^2-142.8571428*(x-4)^4+(1/2)*FEy*(x-7.5)^2+166.6666666*(x-7.5)^4

(15)
> 

``

> 

> 

Mac := diff(`EIθac`, x);

15000.00000*x

(16)
> 

Mce := diff(`EIθce`, x);

-45000.00000*x+FCy*(x-4)+240000.0000-571.4285712*(x-4)^3

(17)
> 

Mef := diff(`EIθef`, x);

-45000.00000*x+FCy*(x-4)+240000.0000-571.4285712*(x-4)^3+FEy*(x-7.5)+666.6666664*(x-7.5)^3

(18)
> 

``

> 

> 

Vac := diff(Mac, x);

15000.00000

(19)
> 

Vce := diff(Mce, x);

-45000.00000+FCy-1714.285714*(x-4)^2

(20)
> 

Vef := diff(Mef, x);

-45000.00000+FCy-1714.285714*(x-4)^2+FEy+1999.999999*(x-7.5)^2

(21)
> 

``

> 

> 

x := 0:
``

`EIθo` = 0

 

EIYo = 0

(22)
> 

x := 4:

EIYo+4*`EIθo`+160000.0000

(23)
> 

x := 7.5:

EIYo+7.5*`EIθo`+610931.2500+7.145833333*FCy

(24)
> 

SOL := solve({CF1, CF2, CF3, CF4, SumFY, SumMA}, {EIyo, FAy, FCy, FEy, MA, `EIyθo`});

"SOL:="

(25)
> 

``

> 

NULL

> 

``

 

Download Equacoes_universais_T12_-_4.mwEquacoes_universais_T12_-_4.mw

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