
Structural Analysis Techniques
Explore stress and strain analysis in structures, including in-plane and out-of-plane components, 3-D stress states, equilibrium equations, plane stress and strain, compatibility equations, and Airy's stress function.
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Presentation Transcript
Subject Name: STRUCTURES I Unit 7 Subject Code: 10AE56 Prepared By: DWEBENDU KUMAR SAHU Department: AERONAUTICAL Date
STRESS Stress as we know can be resolved into two in- plane components & one out of lane component.
PLANE STRESS Neglecting stress across the thickness in above equations, it simplifies to the following form ??? ??+ ??= 0 ??? ??+ ??? ??+ ??? ??+ ??= 0 This form of E.E. must be satisfied at all interior points of a thin metal sheet
PLANE STRAIN If the particles of a body suffer displacement in only one plane, then above equations reduces to
AIRYS STRESS FUNCYION If ? is a stress function then magnitude of various stresses are given by