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V. AISC LRFD - Select Wide Flange 2

To find the optimum W shape with a flexural design strength of 150 ft·kips. Beam is braced at ends and at mid-span point.

Reference

AISC Load Factor Resistance Design, 3rd Edition, Example 5.4, page 5-21.

Problem

The beam should also satisfy a deflection limit of 1.0 inches under service load.

Fy = 50 ksi

Length = 20 ft

Lb = 10 ft

Service load of 2.0 kip/ft. Deflection limit under service load = 1.0 in.

Comparison

The reported STAAD.Pro value is based on the term MNZ in the STAAD.Pro output.

Table 1. Comparison of results
Result Type Theory STAAD.Pro Difference
Optimum Section W16x31 W16x31 none
Design bending strength, ϕbMn 150

150.17

(1,802 in·kips)

negligible
Maximum permissible deflection (in) 1.0 0.658 N/A (*)
Note: (*) The STAAD.Pro reported maximum deflection is less than 1.0 in; therefore this section satisfies the requirement. However, this value is not to be directly compared with the limit itself.

STAAD Input

The file C:\Users\Public\Public Documents\STAAD.Pro CONNECT Edition\Samples\ Verification Models\09 Steel Design\US\AISC\AISC LRFD - Select Wide Flange 2.STD is typically installed with the program.

STAAD SPACE BENDING PER AISC LRFD 3RD ED
START JOB INFORMATION
ENGINEER DATE 23-Sep-18
END JOB INFORMATION
*
*  EXAMPLE 5.4, PAGE 5-21, AISC LRFD 3RD ED.
*  OBJECTIVE : TO FIND THE OPTIMUM W SHAPE WITH A FLEXURAL
*  DESIGN STRENGTH OF 150 KIP-FT.
*
*  ACCORDING TO ABOVE REFERENCE, THE SECTION SHOULD BE W16X31
*
UNIT FEET KIP
JOINT COORDINATES
1 0 0 0; 2 20 0 0;
MEMBER INCIDENCES
1 1 2;
MEMBER PROPERTY AMERICAN
1 TABLE ST W12X26
UNIT INCHES KIP
DEFINE MATERIAL START
ISOTROPIC MATERIAL1
E 29000
POISSON 0.3
END DEFINE MATERIAL
UNIT FEET KIP
CONSTANTS
MATERIAL MATERIAL1 ALL
SUPPORTS
1 PINNED
2 FIXED BUT MZ
LOAD 1
MEMBER LOAD
1 UNI GY -2
LOAD COMBINATION 2
1 1.5 
PERFORM ANALYSIS
LOAD LIST 2
UNIT INCHES KIP
PARAMETER 1
CODE LRFD
MAIN 1 ALL
UNT 120 ALL
FYLD 50 ALL
TRACK 1 ALL
SELECT ALL
LOAD LIST ALL
PERFORM ANALYSIS
LOAD LIST 1
SECTION 0.5 ALL
PRINT SECTION DISPL
LOAD LIST 2
CHECK CODE ALL
FINISH

STAAD Output