Test Problems

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Test Problem

Name:

Align solid and hollow sections with different center-of-gravity locations

Description:

Model relative positive position for frame sections which have identical outlines, but different center-of-gravity locations due to one section being hollow.

Program:

SAP2000

Version:

14.2.0

Model ID:

na


The internal forces and capacities of a beam are calculated with respect to the cross-section center of gravity. This test problem studies the modeling of a rectangular and continuous beam which is solid along the left segment and hollow along the right. This void is located along the bottom of the element.

Default insertion-point settings locate each segment such that the center of gravity aligns with the element chord. As shown in the image at the top of Figures 1-4, this results in misalignment between each segment because the center of gravity is higher for the hollow section. This may be corrected through either of the following methods:

  1. Draw element chords to account for the difference in center-of-gravity location, as shown in the middle image of each figure.

  2. Use a bottom-center insertion point to draw the two segments along the same line as shown in the bottom image of each figure.


Figure 1 - Modeling approaches


Figure 2 - Corresponding depth profile


To demonstrate how each of these conditions affects response, a straight tendon is modeled below each beam. Tendon deflection and internal moment (relative to cross-section centroid) is presented. Results are correctly reported only for the second and third case, where the solid and hollow sections properly align.


Figure 3 - Displacement


Figure 4 - Moment

Attachments