Page 21 - ZF-Catalog-ZSi-Foster-08-19-R3

Beam Load Support Formulas
All Beam Load tables are for simple beams supported at the ends. These can be used in the majority of the cases. There are times when it is necessary to know what happens with other loading and support conditions. Some common arrangements are shown below. Simply multiply the values from the Beam Load tables by factors given below.
Load and Support Condition
Load Factor
Deflection Factor
Simple Beam
Uniform Load
Simple Beam
Concentrated Load at Center
Simple Beam
Two Equal Concentrated Loads at 1/4 Points
Beam Fixed at Both Ends
Uniform Load
Beam Fixed at Both Ends
Concentrated Load at Center
Cantilever Beam
Uniform Load
Cantilever Beam
Concentrated Load at End
Continuous Beam
Two Equal Spans - Uniform Load on One Span Span
Continuous Beam
Two Equal Spans - Uniform Load on Both Spans
Continuous Beam
Two Equal Spans - Concentrated Load at Center of One Span
Continuous Beam
Two Equal Spans - Concentrated Load at Center of Both Spans
EXAMPLE I 60" 60" EXAMPLE II PROBLEM: PROBLEM:
Span
1.00 1.00
0.50 0.80
1.00 1.10
1.50 0.30
1.00 0.40
0.25 2.40
0.12 3.20
1.30 0.92
1.00 0.42
0.62 0.71
0.67 0.48
24"
Span
Calculate the load and deflection of an W200 beam continuous over one support and loaded uniformly on one span.
SOLUTION:
A. From load table for W200 the load for a 60" span is 700 lbs. and deflection is 0.35".
B. Multiply by factors from Table above Load = 700 lb. x 1.30 = 910 lbs. Deflection = 0.35" x 0.92 = 0.322"
Determine load and deflection of an W150 cantilever beam with a concentrated load on the end.
SOLUTION:
A. From load table for W150 the load for a 24" span is 5,360 lbs. and deflection is 0.09".
B. Multiply by factors from Table above. Load = 5,360 lbs. x 0.12 = 643.2 lbs. Deflection - 0.09" x 3.20 = 0.288"
ZSi-Foster Engineering Catalog
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