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Structural element calculators

Jonathan Ochshorn



Statics
Loads
Tension elements
Columns
Beams
Connections
Systems


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Statics:

Simply-supported Beam Reaction Calculator: Calculates reactions for simply-supported beam with uniformly distributed load and/or up to 3 concentrated loads.

Three-hinged Arch Reaction Calculator: Calculates reactions for 3-hinged arch with uniformly distributed load and/or up to 3 concentrated loads.

Cable Reaction Calculator: Calculates reactions for cable with uniformly distributed load and/or up to 3 concentrated loads.

Simply-supported Beam Moment and Shear Calculator: Calculates reactions, maximum positive and negative bending moments, and maximum positive and negative internal shear forces for simply-supported beam with uniformly distributed load and/or up to 3 concentrated loads.

Truss reaction and bar force Calculator: Calculates reactions and bar forces for Howe, Pratt, or Warren trusses.

Three-hinged arch bar force Calculator: Calculates reactions and bar forces for "triangular" three-hinged arches.

Cable internal axial force Calculator: Calculates reactions and internal axial forces for cable.


Loads:

Live and dead load Calculator: Calculates live and dead loads for girders, beams, and columns.

Snow load Calculator: Calculates snow loads based on slope, surface characteristics, and other parameters.

Governing load Calculator: Calculates governing load combinations for allowable stress design or strength design (LRFD). A newer version calculates governing loads based on distributed floor loads (psf), tributary areas, and number of floors.

Wind Pressure Calculator: Calculates the wind pressure (psf) on the windward and leeward faces of rectangular buildings with flat roofs, after entering values for wind speed, exposure, roof height, importance, plan dimensions, directionality factor, and topography factor.

Seismic and Wind Force Calculator: Calculates and compares the wind and seismic story forces on a building, after entering general data (city, importance factor), seismic data (site class, seismic force resisting system), and wind data (exposure category, plan and parapet dimensions, and coefficients for directionality and topography).


Tension elements:

Elongation due to axial load Calculator: Calculates elongation (as well as stress and strain) for prismatic elements subject to axial force.

Wood tension element capacity Calculator: Calculates capacity of a wood tension element based on allowable tension on net area (reduced by bolt holes) and, if desired, row and group tear-out.

Steel tension element capacity Calculator: Calculates capacity of a steel tension element based on yielding of gross area or rupture of effective net area.


Columns:

Wood Column Calculator: Calculates the capacity (maximum safe load) for wood columns, after entering values for modulus of elasticity, allowable stress, duration of load factor, and effective length (height).

Steel Column Calculator: Calculates the capacity (maximum safe load) for steel columns, after entering values for ASTM designation, section type, effective length coefficient, and unbraced length.

W-shape Steel Column Design Calculator: Finds the lightest acceptable W-shape steel column for a given axial load and effective length. (older version)

Reinforced Concrete Column Calculator: Analyses and designs tied or spiral (rectangular or circular) reinforced concrete columns based on the strength method.


Beams:

Wood Beam Calculator: Selects the lightest sawn lumber beams, after entering values for span, spacing, species, grade, deflection criteria, and design criteria (i.e., design for bending, shear, deflection, lateral support, or any combination thereof).

Steel Beam Calculator: Selects the lightest laterally-supported W-shape steel floor beam, after entering values for span, spacing, yield stress, deflection criteria, and design criteria (i.e., design for bending, shear, deflection, or any combination thereof).

Reinforced concrete integrated T-beam, girder, and 1-way slab calculator: New and improved! Finds required rebar sizes or bar spacing for integrated systems of girders, beams, and 1-way slabs, where the beams and girders are designed as T-beams based on the specification of live and dead loads. An older calculator that only computes required bar area and rebar spacing for slabs can be found here.

Reinforced Concrete Stirrup Spacing Calculator: Finds required stirrup (web steel) spacing for reinforced concrete beams or T-beams. Either "Imperial" or "S.I." units can be used. A more detailed discussion of the topic is also available.


Connections:

Wood Fastener Capacity Calculator: Finds capacity of bolts, lag screws, or nails used as fasteners in wood construction, using either wood or steel side plates.

High-strength Steel Bolt Capacity Calculator: Finds capacity of high-strength steel bolts stressed in shear.


Systems:

Reinforced Concrete Integrated T-beam, 1-way Slab, and Column Calculator: Finds required rebar area (or spacing) and selects bars for T-beams, 1-way slabs, and columns in a typical reinforced concrete building.

Steel Truss Design Calculator: Selects double angle bars for Pratt or Warren steel trusses.