Page Comparison

{live-template:Tutorial}

h1. Model description

* Create a new model from template. Define as a simple span, 40m long, with steel girders cross-section.

* Release the bearing at the end abutment to achieve a simply supported condition.

* Define point, line, and area loads in separate [load cases|kb:Load case] as follows:
\\
\\
** Point load: 10kN load applied at station 20, centered transversely.
\\
\\
** Line load: 1kN/m load applied between stations 15 and 25, centered transversely.
\\
\\
** Area load: 0.1kN/m^2 load applied between stations 15 to 25 and across the width of the deck.
\\
\\
These loads will all cause an effect equivalent to loading the bridge midspan with a 10kN point load

* Run the analysis and check the midspan moments. For point loading, the theoretical midspan moment is given as follows:

!Expression 1.PNG|align=center,border=0!

Plan, elevation, and section diagrams depicting load application are given in Figure 1:

\\

!geometry sketch.png|align=center,border=1!

{center-text}Figure 1 - Load application diagrams{center-text}

\\

h1. Model development

h2. Define and apply loads

Use the Loads > Loads - Point command to define a new point load, as shown in Figure 2:

\\

!point loads 1.png|align=center,border=1!

{center-text}Figure 2 - Define point load{center-text}

\\

Use the Bridge > Loads > Point Loads command to assign the previously defined point load, as shown in Figure 3:

\\

!point loads 2.png|align=center,border=1!

{center-text}Figure 3 - Assign point load{center-text}

\\

Using a similar approach, define and apply line and area loads.

h1. Results

The moment diagrams below (Figures 4-6) depict the midspan moment expected.

\\

!point load moment diagram.png|align=center,border=1!

{center-text}Figure 4 - Point load moment diagram{center-text}

\\

!lineal load moment diagram.png|align=center,border=1!

{center-text}Figure 5 - Line load moment diagram{center-text}

\\

!area loads moment diagram.png|align=center,border=1!

{center-text}Figure 6 - Area load moment diagram{center-text}

\\

h1. Attachments

* [SAP2000 model |Applying point, line, and area loads to bridge objects^CSI Bridge model.zip] (zipped SDB file)