文档介绍：AEROSPACE STRUCTURAL ANALYSIS
O. A. Bauchau
Professor
School of Aerospace Engineering
ia Institute of Technology
August 21, 2002
2
Contents
1 Basic Equations of Linear Elasticity 9
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Thestateofstressatapoint...................... 9
Volume equilibrium equations . . . . . . . . . . . . . . . . . . . . . . 11
Surface equilibrium equations . . . . . . . . . . . . . . . . . . . . . . 12
Theplanestateofstress......................... 14
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Rotationofstresses............................ 15
Principalstresses............................. 16
Specialstatesofstress.......................... 17
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Thestateofstrainatapoint...................... 18
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Rotationofstrains............................ 21
Principalstrains............................. 23
patibility equations . . . . . . . . . . . . . . . . . . . . . . 24
Measurementofstrains.......................... 24
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Homogeneous, isotropic, linear elastic materials . . . . . . . . . . . . 27
2 Tension pression 31
Bar under constant axial force . . . . . . . . . . . . . . . . . . . . . . . . . . 31
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-Venant’sprinciple............................. 40
3 Euler-Bernoulli Beam Theory. 43
The Euler-Bernoulli Assumptions . . . . . . . . . . . . . . . . . . . . . . . . 43
-Bernoulliassumptions................ 44