-------->  PRODUCED BY STABMOT SOFTWARE  <-------

 The Joint at point C of the body/beam is a pin 

connection for the entire system. 

 AC is one member/body and BC is one member/body

 of the diagram given. 

 Solving for the force acting on the right side of the

 beam/body. 

 Arch design/shape is the same as the way an 

Aeroplane/Airplane Hangar looks and other buildings 

such as Cathedral and Dome (Stadium Dome) .

 Fx = 700 x Cos(46)

 Fx = 700 x  0.694425881510006

 Fx = 486.098117057004

 Fx = 486.10N

 Fy = 700 x sin(46)

 Fy = 700 x  0.719564239723634

 Fy = 503.695

 Fy = 503.70N

 The Horizontal Force Fx = 486.10N

 The vertical Force Fy = 503.70N

-------------------->  SESSION ENDED  <--------------------

-------->  PRODUCED BY STABMOT SOFTWARE  <-------

 The Joint at point C of the body/beam is a pin 

connection for the entire system. 

 AC is one member/body and BC is one member/body 

of the diagram given. 

 Take moment for the entire member ACB of the 

diagram(Arch) to get the equation at point B. 

 Fx = 486.1N

 Fx = -486.1N , Because Fx points to the left side of the 

arch

 Fy = -503.7N , Because Fy points downward. 

 Sum of the forces in Y direction is equal to zero (0). 

  ^ + F(y) = 0 

  | 

  --> Ay  +  By  - 503.7 - 1000  = 0   Eqn.(1) 

  --> Ay  +  By  = 1503.7 Eqn.(1) 

  --> + F(X) = 0 

  --> Ax  - Bx  - 700  = 0  Eqn.(2) 

  --> Ax  =  486.1  =  0  Eqn(2) 

  --> Ax  -  Bx = 486.1  Eqn.(2)

  Sum of the moment at A is equla to zero.

  From Left side/hand to the right is positive.

  L--> + M(A) = 0 

   -9 x 1000 + 18 x By + 6 x 486.1 - 16 x 503.7  =  0  

Eqn.(3) 

-9000 + 18By + 2916.6 - 8059.2  =  0  Eqn.(3) 

   -14142.6 + 18By +   =  0  Eqn.(3) 

   -14142.6 + 18By +   =  0  Eqn.(3) 

 

   18By   =  14142.6  Eqn.(3) 

   By    =  14142.6 / 18  Eqn.(3) 

   By    =  785.7

   By    =  785.7

   By    =  785.7N

 
 --> From Eqn.(1) above

  --> Ay  +  By  = 1503.7 Eqn.(1) 

  --> Ay   = 1503.7 - By Eqn.(1) 

  --> Ay   = 1503.7  -  785.7  Eqn.(1) 

  --> Ay   = 718

  --> Ay   = 718N

  --> From Member BC of the Arch diagram

  ^ + F(y) = 0 
  | 

  --> Cy  +  By  - 1000 - 503.7 Eqn.(4) 

  --> Cy  - 1000 + 785.7 - 503.7 eqn.(4)

  --> Cy   = -718.000012207031

  --> Cy   = -718N

  --> From Member AC of the Arch diagram

  ^ + F(y) = 0 
  | 

  --> Ay  -  Cy  = 0  Eqn.(5) 

  --> Ay  = Cy  eqn.(5)

  --> Ay   = 718

  --> Cy   = 718N

  Sum of the moment at C is equla to zero.

  From Left side/hand to the right is positive.

  L--> + M(C) = 0 

   9 x 785.7 + 10 x Bx + 4 x 486.1 - 7 x 503.7  =  0  

Eqn.(6) 

   7071.3 + 10Bx + 1944.4 -3525.9  =  0  Eqn.(6) 

   10Bx + 5489.8  =  0  Eqn.(6) 

   10Bx   =  -5489.8

   Bx   =  -5489.8 / 10

   Bx   =  -548.98

   Bx   =  -548.98N

   Bx   =  548.98N <--

  --> From Member BC of the Arch diagram

  --> + F(X) = 0 

  --> Cx  - Bx  - 486.1  = 0  Eqn.(7) 

  --> Cx  =  486.1 + -548.98 Eqn(7) 

  --> Cx  = 1035.08

  --> Cx  = 1035.08N

  --> From Member AC of the Arch diagram

  --> + F(X) = 0 

  --> Ax  - Cx  = 0  Eqn.(8) 

  --> Ax  = Cx  Eqn(7) 

  --> Ax  = 1035.08

  --> Ax  = 1035.08N


-------------------->  SESSION ENDED  <--------------------

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