The beam deflection is one of the checks that should be performed for serviceability limit state design. Deflection is the displacement within a structural member under the influence of loads, ignoring the displacements of the rest of the structure.

 

Figure 3. Deflection Checking Results

 

 

 

 

 Figure 4. Analysis and Design Results 

 

 

 

 

 

 

Figure 5. Cantilever Example Model

 

 

 

 

 

 

δ = (δ_E –δ_C ) – θ₁ *L (add this to remove the effect by column deformation)

   = (0.846566 – (-0.039507)) – 0.000473* 1981.2

   = -0.0510 mm

 

 

 

 

Figure 6. Deflection Checking Results - 1

 

 

 

 

 

 

 

 

Figure 7. Example Cantilever Model with Node A

 

θ1 : Rotation by column deformation

θ₂ : The angle of the line that links the deformed points of the

      beam-column joint and of first node when L is divided into

     100 equal parts.

δ_E : Deformation of Beam end (Deformation at One end of beam)   

δ_C : Deformation of Column end (Deformation at the other end of

      beam)   

Node A : the first internal node when L is divided into 100 equal

              parts

L : Length of beam

 

 

 

 

 

 

Gen uses θ₂  calculated internally. θ₂ means the angle of the line connecting the nodes of the column and the deformed node closest to the column when the beam is divided into 100 equal parts and

θ₂ = (Dz at node A = Dz at Node 1 ) / (L/100)

    =  (-0.031082 – (-0.039507)) / (1981.2/100)

    = 0.000425

δ = (δ_E –δ_C ) –θ2 *L

   = (0.846566 – (-0.039507)) – 0.000425* 1981.2

   = - 0.0436 mm

 

 

 

 

 

 

Figure 6. Deflection Checking Results - 1

 

 

Dz at Node A = -0.031082

Since this is an internal value, it is not output separately.

 

 

 

 

Figure 8. Continuous Beam Example Model 

 

Figure 9. Deflection Checking Results -2