Grillage Analysis:Wheel Load Transfer to Nearest Joints

Grillage Analysis

      Wheel Load Transfer to nearest joints.

First Step

Cutting section along e-f

R_e x l₁ = P x b

R_e = P x b/l₁

Similarly;      

R_f = P x a/l₁

Second Step

Considering beam 1-4

R₁ = R_e x d/l₂

Thus:

R₁ = P x b x d/ (l₁ x l₂) = (b x d/l₁ x l₂) x P

Similarly:

R₄ = R_e x c/l₂

R₄ = P x b x c/ (l₁ x l₂) = (b x c/l₁ x l₂) x P

 

Considering beam 2-3

R₂ = R_f x d / l₂

R₂ = P x a x d / (l₁ x l₂) = (a x d /l₁ x l₂) x P

Also:

R₃ = R_f x c / l₂

R₃ = P x a x c / (l₁ x l₂) = (a x c / l₁ x l₂) x p

R x l₁ x l₂ = P x b x d

R₁ = (b x d / l₁ x l₂) x P

                                       Similar argument can be applied to the other nodes.