Basics of Structural Analysis: Difference between revisions
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Principle of superposition: linearity. Displacement at location <math>B</math> from forces <math>P_1</math> and </math>P_2</math> located at different positions is calculated as | Principle of superposition: linearity. Displacement at location <math>B</math> from forces <math>P_1</math> and </math>P_2</math> located at different positions is calculated as | ||
<math>\Delta_B = \Delta_{BP_1} + \Delta_{BP_2}</math> | <math>\Delta_B = \Delta_{BP_1} + \Delta_{BP_2}</math> | ||
The energy principle: <math> dW = Fd\Delta</math> giving the total energy as <math>W = \int_0^\Delta Fd\Delta</math> which is called ''strain energy''. For linear deformation this gives <math>U=\tfrac12 F\Delta</math>. | |||
Virtual work principle. | |||
== Plate == | == Plate == | ||
Revision as of 09:40, 20 January 2024
Introduction
Structural analysis using about high school level physics and maths.
Aim to calculate fiberglass cansat structure
Basic theory
Principle of superposition: linearity. Displacement at location Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle B} from forces Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle P_1} and </math>P_2</math> located at different positions is calculated as
The energy principle: Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle dW = Fd\Delta} giving the total energy as Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle W = \int_0^\Delta Fd\Delta} which is called strain energy. For linear deformation this gives Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle U=\tfrac12 F\Delta} .
Virtual work principle.
Plate
Beam
Column
Column is a vertical beam.
