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A-05 (Rotational Spring)

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Objective

To verify the behavior of the rotational spring

 

Problem Description

A 10-inch long cantilever beam is subjected to a triangular linear load of q = 2 lb/in.

 

Material properties: E = 2.9e7 psi, ν = 0.3

 

Section properties: Ix = 1000 in4, Az = 10 in2

 

Boundary condition: rotational spring constant Koz = 1e4 lb-in/rad, Dx and Dy fixed.

 

A-05 (Rotational Spring)1

 

Finite Element Model

1 beam element

Assign large spring constants to Kx, Ky to represent fixed DOFs Dx, Dy

Model type: 2D Frame

 

Results

The rotational displacement Doz at N1 and vertical displacement Dy at N2 may be calculated as:

@N1: A-05 (Rotational Spring)2 rad

 

@N2, A-05 (Rotational Spring)3 in

Units: displacement – in; rotation - rad

 

ENERCALC 3D

Theoretical

Rotation Doz @ N1

-3.333e-3

-3.333e-3

Displacement Dy @ N2

-3.333e-2

-3.333e-2

 

Comments

The results given by ENERCALC 3D are identical to the theoretical values.

 

The displacements due to beam strains are negligible.