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TO DO:

  • Provide example with solutions and midspan-moment checks for a 3-span continuous beam subjected to uniform and point loading.

The pattern live-load factor (Pllf) is intended to account for variability in the live-load arrangement on a structure. Since live-load pattern is not automated, Pllf approximates its design effect.

When nonzero Pllf is assigned to a frame object, positive design moments are calculated assuming a simply supported condition under live-load application. While this does affect design moments, analysis moments are not affected. Pllf enables users to specify the live-load percentage applied to a frame object for which no continuity is assumed. This enables to model a condition when negative Negative moments are redistributed and thereby increasing the positive mid-span moments. You can specify zero PLLF if you wish not to consider this then redistributed in a manner similar to that of moment redistribution from yielding. As a result, positive midspan-moment values increase. Zero Pllf may be specified to avoid moment redistribution.

The Pattern Live Load Factors can Pattern live-load factors may be assigned to individual elements by using "the Design > Steel Frame Design ( or Concrete Frame Design ) > View/Revise Preferences " menu commandcommand, as shown in Figure 1:


Image Modified

Figure 1 - Pattern live-load factor

Example

The maximum positive midspan design moment due to uniform live load induced by uniform dead- and live-load application would be calculated as follows:

M_{max} = \frac{fwL^2}{8}Image Added

where

  • f ... the pattern live load factor
  • w ... applied uniform live load
  • L ... length of the frame object
  • M_{max} ... maximum midspan moment (calculated assuming no continuity; simply supported condition is assumed)

For point loads, the span positive moments :

  • f1 = code-based dead-load factor (1.2)
  • f2 = code-based live-load factor (1.6)
  • Pllf = Pattern live-load factor (0.75) specified in SAP2000 or ETABS
  • l = element length
  • LL = distributed live load (force/length)
  • MDL = positive dead-load moment with actual boundary conditions due to dead load only
  • Mpos MAX - maximum positive midspan design moment assuming a simply-supported condition with no continuity for live load

    Given point loading, Mpos MAX would be calculated similarly as for uniform

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{{To Do

who = ok

comment = Provide numerically solved example: 3 span continuous beam with uniform and point loads, check mispan moment

priority = 80}}

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  • loading, in which a simply supported condition is assumed and the live-load factors specified are applied.


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Related Emails:

  • Email "Wiki entry on pattern live load": (ok → rs, 10/25/2010, ID 7635351)