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Principles Of Steel Design Simulations

A collection of interactive 3D visualizations and simulations to help you master concepts in principles of steel design.

Introduction to Structural Steel - Theory & Concepts - Stress Strain Curve

Overview of steel properties, history, grades, structural shapes, and design philosophies (LRFD vs. ASD).

Interactive Stress-Strain Curve

Material Properties

Yield Strength (FyF_y)36 ksi
Tensile Strength (FuF_u)58 ksi
Elastic Modulus (EE)29,000 ksi

Regions of the Curve:

  • Elastic: Linear region up to FyF_y. Material returns to original shape.
  • Plastic Plateau: Deformation with no increase in stress.
  • Strain Hardening: Stress increases up to FuF_u.
  • Necking: Cross-section decreases, stress drops until fracture.
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Introduction to Structural Steel - Theory & Concepts - Load Combinations

Overview of steel properties, history, grades, structural shapes, and design philosophies (LRFD vs. ASD).

Interactive Load Combinations (ASD vs LRFD)

Input Service Loads (kips)

ASD Required Strength (RaR_a)

  • D = 20.0
  • D + L = 50.0
  • D + S + 0.75L = 52.5
  • D + 0.6W = 29.0

Governing ASD Load: 52.5 kips

LRFD Required Strength (RuR_u)

  • 1.4D = 28.0
  • 1.2D + 1.6L + 0.5S = 77.0
  • 1.2D + 1.6S + 0.5L/0.25W = 55.0
  • 1.2D + 1.0W + 0.5L + 0.5S = 59.0
  • 0.9D + 1.0W = 33.0

Governing LRFD Load: 77.0 kips

Tension Members - Theory & Concepts - Tension Capacity

A comprehensive overview of structural steel tension members, covering limit states, gross and net areas, block shear, and member design.

Tension Member Capacity Analysis

1.00

Limit State Capacities (phiPn\\phi P_n)

Gross Yielding97.2 kips
Net Rupture108.8 kips
Block Shear75.9 kips

Governing Design Strength

75.9 kips

Beams: Flexure - Theory & Concepts - Beam L T B Curve

Analysis and design of steel beams for flexural strength, focusing on moment capacity, compactness, biaxial bending, and lateral-torsional buckling.

Beam Flexural Strength (M_n) vs. Unbraced Length (L_b)

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Beam Parameters (W18x35 approx):

  • L_p (Plastic Limit): 4.31 ft
  • L_r (Inelastic Limit): 13.5 ft
  • M_p (Plastic Capacity): 277.1 k-ft

Current State:

  • Unbraced Length: 10 ft
  • Zone: Zone 2 (Inelastic LTB)
  • Nominal Strength (M_n): 209.5 k-ft

Beams: Shear and Serviceability - Theory & Concepts - Beam Deflection

Analysis and design of steel beams for shear capacity and serviceability limits like deflection, ponding, and floor vibration.

Beam Deflection Check

Deltamax\\Delta_{max}
  • Actual Deflection (Deltamax\\Delta_{max}):6.161 in
  • Allowable Deflection ($L/360$):1.000 in
  • Status: FAILS - Excessive Deflection

Beam-Columns - Theory & Concepts - Interaction Diagram

Design of members subjected to combined axial compression and flexural loads, including second-order effects and bracing requirements.

Beam-Column Interaction (AISC Chapter H)

Member Capacities (Assumed W14x90):

  • Axial Compressive Strength (phiPc\\phi P_c): 1000 kips
  • Flexural Strength (phiMcx\\phi M_{cx}): 600 k-ft
200 kips
150 k-ft

Interaction Value: 0.422

Equation H1-1a used (Pu/phiPcge0.2P_u / \\phi P_c \\ge 0.2)

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Limit: ≤ 1.0

Welded Connections - Theory & Concepts

Analysis and design of welded connections, covering fillet, groove, plug, and slot welds, as well as eccentric weld groups.

Fillet Weld Strength

Weld Design Strength (phiRn\\phi R_n)0.0 kips

Status

OVERSTRESSED

DCR = Infinity

Note: Base metal yielding and rupture limit states must also be checked independently.

Plate Girders - Theory & Concepts - Plate Girder Web

A comprehensive overview of built-up steel plate girders, focusing on web slenderness, stiffeners, and tension-field action.

Plate Girder: Tension Field Action

Load: 10 kN
0Theoretical Buckling LimitMax Capacity

Simulation Status:

  • Current Load: 10 kN
  • State: Elastic Shear (Unbuckled)

Composite Members - Theory & Concepts - Composite Section

Introduction to composite steel-concrete construction, including beams, columns, shear connectors, and slab interaction.

Composite Section: Plastic Neutral Axis (PNA)

PNA
$C$
$T$
  • Controlling Shear Transfer ($V'$): 500 kips
  • PNA Location: Case 2: PNA in Steel Flange
  • Increasing the number of shear studs or concrete strength forces the PNA higher into the slab, increasing the moment arm and the flexural capacity.

Connections and Base Plates - Theory & Concepts - Base Plate Bearing

Design of column base plates, anchor rods, shear lugs, and moment connections transferring forces to foundations.

Base Plate Concrete Bearing Simulator

300 kips
3.0 ksi
14 in
14 in
Concrete Footing
Actual Bearing Stress0.00 ksi
Allowable Stress0.00 ksi
StatusOK