MaplePortal/AISCSteelShapes - Maple Help

 AISC Steel Shapes Data

The MapleCloud contains a package with the AISC Shapes v14.1 database of physical properties for standard steel members. These properties can be for structural steel design calculations.

 • Physical properties, when appropriate, have units; these are propagated through calculations
 • The package offers data for all standard AISC steel shapes, including W, S, HP, C, MC, L, WT, MT, ST, 2L, HSS and PIPE types
 • Live calculations and documentation can be captured in a Maple worksheet

This application, for example, is a design calculation for a simply supported beam using AISC design codes.

Typical Calculations

Note: You will need to install the AISC Shapes package from the MapleCloud to re-execute these calculations.

 > $\mathrm{with}\left(\mathrm{AISCShapes}\right):$$\phantom{\rule[-0.0ex]{0.0em}{0.0ex}}\phantom{\rule[-0.0ex]{0.0em}{0.0ex}}\mathrm{with}\left(\mathrm{Units}\left[\mathrm{Standard}\right]\right):$

What is the mass of a 20 ft W8X21 beam?

Mass per unit length

 > $W≔\mathrm{Property}\left("W8X21","W"\right)$
 ${W}{≔}{21.0}{}⟦\frac{{\mathrm{lb}}}{{\mathrm{ft}}}⟧$ (1.1)

Hence for a 20 ft beam, the total mass is

 > $L≔20⟦\mathrm{ft}⟧:$
 > $W\cdot L$
 ${190.51}{}⟦{\mathrm{kg}}⟧$ (1.2)

Given a W16x57 A992 steel beam, what is the plastic moment?

Yield stress of A992 steel

 > $\mathrm{Fy}≔50⟦\mathrm{ksi}⟧:$

Plastic section modulus

 > $\mathrm{Zx}≔\mathrm{Property}\left("W16X57","Zx"\right)$
 ${105.00}{}⟦{{\mathrm{in}}}^{{3}}⟧$ (1.3)

Hence the plastic moment is

 > $\mathrm{Mp}≔\mathrm{Fy}\cdot \mathrm{Zx}$
 ${437.50}{}⟦{\mathrm{kip}}{}{\mathrm{foot}}⟧$ (1.4)

Example Data for a W Beam

The geometry of a W beam is illustrated below

Specifically, the dimensions of a W beam of subtype W44X335 are

 > $\mathrm{Property}\left("W44X335","A","metadata"\right);\phantom{\rule[-0.0ex]{0.0em}{0.0ex}}\phantom{\rule[-0.0ex]{0.0em}{0.0ex}}$$\mathrm{Property}\left("W44X335","A"\right)$
 ${"Cross-sectional area of member"}$
 ${98.5}{}⟦{{\mathrm{in}}}^{{2}}⟧$ (2.1)
 > $\mathrm{Property}\left("W44X335","d","metadata"\right);\phantom{\rule[-0.0ex]{0.0em}{0.0ex}}\phantom{\rule[-0.0ex]{0.0em}{0.0ex}}$$\mathrm{Property}\left("W44X335","d"\right)$
 ${"Overall depth of member, or width of shorter leg for angles, or width of the outstanding legs of long legs back-to-back double angles, or the width of the back-to-back legs of short legs back-to-back double angles"}$
 ${44.0}{}⟦{\mathrm{in}}⟧$ (2.2)
 > $\mathrm{Property}\left("W44X335","bf","metadata"\right);$$\phantom{\rule[-0.0ex]{0.0em}{0.0ex}}\phantom{\rule[-0.0ex]{0.0em}{0.0ex}}\mathrm{Property}\left("W44X335","bf"\right)$
 ${"Flange width"}$
 ${15.9}{}⟦{\mathrm{in}}⟧$ (2.3)
 > $\mathrm{Property}\left("W44X335","tf","metadata"\right);\phantom{\rule[-0.0ex]{0.0em}{0.0ex}}\phantom{\rule[-0.0ex]{0.0em}{0.0ex}}$$\mathrm{Property}\left("W44X335","tf"\right)$
 ${"Flange thickness"}$
 ${1.77}{}⟦{\mathrm{in}}⟧$ (2.4)
 > $\mathrm{Property}\left("W44X335","k1","metadata"\right);$$\phantom{\rule[-0.0ex]{0.0em}{0.0ex}}\phantom{\rule[-0.0ex]{0.0em}{0.0ex}}\mathrm{Property}\left("W44X335","k1"\right)$
 ${"Detailing distance from center of web to flange toe of fillet"}$
 ${1.3125}{}⟦{\mathrm{in}}⟧$ (2.5)
 > $\mathrm{Property}\left("W44X335","kdet","metadata"\right);\phantom{\rule[-0.0ex]{0.0em}{0.0ex}}\phantom{\rule[-0.0ex]{0.0em}{0.0ex}}$$\mathrm{Property}\left("W44X335","kdet"\right)$
 ${"Detailing distance from outer face of flange to web toe of fillet"}$
 ${2.625}{}⟦{\mathrm{in}}⟧$ (2.6)
 > $\mathrm{Property}\left("W44X335","tf","metadata"\right);\phantom{\rule[-0.0ex]{0.0em}{0.0ex}}\phantom{\rule[-0.0ex]{0.0em}{0.0ex}}$$\mathrm{Property}\left("W44X335","tf"\right)$
 ${"Flange thickness"}$
 ${1.77}{}⟦{\mathrm{in}}⟧$ (2.7)
 > $\mathrm{Property}\left("W44X335","tw","metadata"\right);\phantom{\rule[-0.0ex]{0.0em}{0.0ex}}\phantom{\rule[-0.0ex]{0.0em}{0.0ex}}$$\mathrm{Property}\left("W44X335","tw"\right)$
 ${"Web thickness"}$
 ${1.03}{}⟦{\mathrm{in}}⟧$ (2.8)

Other properties include the following

 > $\mathrm{Property}\left("W44X335","W","metadata"\right);$$\phantom{\rule[-0.0ex]{0.0em}{0.0ex}}\phantom{\rule[-0.0ex]{0.0em}{0.0ex}}\mathrm{Property}\left("W44X335","W"\right)$
 ${"Nominal weight"}$
 ${335.0}{}⟦\frac{{\mathrm{lb}}}{{\mathrm{ft}}}⟧$ (2.9)
 > $\mathrm{Property}\left("W44X335","J","metadata"\right);\phantom{\rule[-0.0ex]{0.0em}{0.0ex}}\phantom{\rule[-0.0ex]{0.0em}{0.0ex}}$$\mathrm{Property}\left("W44X335","J"\right)$
 ${"Torsional moment of inertia"}$
 ${74.7}{}⟦{{\mathrm{in}}}^{{4}}⟧$ (2.10)
 > $\mathrm{Property}\left("W44X335","Ix","metadata"\right);$$\phantom{\rule[-0.0ex]{0.0em}{0.0ex}}\phantom{\rule[-0.0ex]{0.0em}{0.0ex}}\mathrm{Property}\left("W44X335","Ix"\right)$
 ${"Moment of inertia about the x-axis"}$
 ${31100.0}{}⟦{{\mathrm{in}}}^{{4}}⟧$ (2.11)
 > $\mathrm{Property}\left("W44X335","Cw","metadata"\right);\phantom{\rule[-0.0ex]{0.0em}{0.0ex}}\phantom{\rule[-0.0ex]{0.0em}{0.0ex}}$$\mathrm{Property}\left("W44X335","Cw"\right)$
 ${"Warping constant"}$
 ${535000.0}{}⟦{{\mathrm{in}}}^{{6}}⟧$ (2.12)

 Applications