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Structural engineering · Technical notes

Technical notes

Derivations, conventions, and practical context that make the calculations transparent.

Start with the fundamentals: Introduction to Structural Analysis

1

Simply supported beam under a moving point load

Influence lines for support reactions, shear force, and bending moment.

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2

Simply supported beam under a uniform load

Support reactions and internal-force diagrams for a full-span uniform load.

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3

Simply supported beam subject to three moving concentrated loads

Support reactions, shear force, and bending moment at a beam section, using influence-line ordinates.

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4

Moving load models for bridges

Axle loads and distributed lane loads: influence-line ordinates, signed areas, and a worked example of reactions and internal forces.

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5

Maximum bending moment at a section under three moving loads

Find the maximum using the influence line, including loads entering and leaving the span.

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6

Maximum bending moment under three moving loads with unequal spacings

Evaluate the three load-at-section candidates for different load magnitudes and spacings.

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7

Maximum and minimum shear under three moving loads

Evaluate six one-sided candidates and distinguish the complete-vehicle response from same-sign envelopes.

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8

Load distribution in girder bridges

How deck loads are shared between longitudinal girders.

In development
9

Envelope computation

Determining governing maximum and minimum structural effects.

In development
10

Steel beam resistance

Fundamentals for checking steel beam resistance.

In development