Calculation Examples
Interactive deflection model
The calculator uses elastic service-load equations and requires the user to select the serviceability criterion instead of assuming for every member.
Example 1: Rolled W-Shape Shear Strength
A W18x50 beam has , , , and . Service loads are and over 24 ft. For this example use .
Step-by-Step Solution
0 of 3 Steps CompletedExample 2: Slender Unstiffened Web
A built-up girder has , , , and .
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0 of 3 Steps CompletedExample 3: Live-Load Deflection with an Explicit Criterion
For the W18x50, use , span 24 ft, service live load , and an explicitly selected live-load criterion.
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0 of 3 Steps CompletedExample 4: Total Service-Load Deflection
For the same beam, total service load is . Suppose the project criterion for this check is .
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0 of 3 Steps CompletedExample 5: Local Web Yielding — Interior Concentrated Force
A W24x68 has , , , and bearing length .
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0 of 2 Steps CompletedExample 6: Local Web Yielding — Near Member End
For the same W24x68 with , use the near-end expression applicable to the example.
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0 of 1 Steps CompletedExample 7: Web Crippling Arithmetic Check
For the W24x68 under the interior bearing load, let , , , , and . Use the stated example expression:
Step-by-Step Solution
0 of 3 Steps CompletedCorrected arithmetic
The previous version printed 1453 in the final multiplication even though the calculated dimensionless bracket was 1.453. The corrected expression above preserves the decimal and the resulting strength.
Example 8: Bearing Length from Local Web Yielding
A reaction acts near the end of a W16x31 with , , and . For the stated example, take the applicable design factor as 1.00.
Step-by-Step Solution
0 of 2 Steps CompletedWorked-example summary
Beam web shear transitions from yielding to buckling as slenderness increases. Serviceability uses service loads and a criterion selected from the governing project/code requirements; is not universal. Concentrated forces require multiple local web checks, not only web yielding. Numerical work must preserve dimensional consistency and intermediate decimal factors; the corrected web-crippling example removes the prior 1453/1.453 transcription defect.