Fixed Rectangular Frame Subject to Horizontal Force

Description

A fixed rectangular frame ABCD with dimensions: L = 360'' and h = 180'' is subjected to a horizontal force of 10 lb acting on joint C. Calculate the support reactions and moments.

File Name

Browse to drive letter:\Users\Public\Public Documents\SOLIDWORKS\SOLIDWORKS version\samples\Simulation Examples\Verification\Static_29.SLDPRT and open the file.

Study Type

Static.

Mesh Type

Beam mesh.

Material Properties

Modulus of elasticity = 30 X 106 psi.

Cross-Section Properties

ISO Square Tube: 20 x 20 x 2; Cross sectional area: 0.2072 in2; Moment of Inertia: I1 = I2 = 0.0166 in4.

Modeling hint

The frame members are treated as beam elements.

Results

Theory SOLIDWORKS Simulation
Vertical Reaction Force: VA = -VB (lb) 1.875 1.875
Horizontal Reaction Force: HA = - HB (lb) 5.0 5.0
Reaction Moment: MA = - MB (lb-in) 562.5 562.5

Analytical Solution

HA = -HB = W / 2

VA = -VB = (3* W* h*k) / (L* N1)

MA = -MB = (W *h / 2)*(3*k + 1 / N1)

where:
  • k = I2 *h / I1 *L
  • N1 = 6*k+1