Chapter 2 - Strain Figure: 02-00CO.

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Presentation transcript:

Chapter 2 - Strain Figure: 02-00CO

Chapter 2 - Strain Normal Strain – Elongation (or contraction) of a line segment per unit length. Upon Loading, structure will experience stress as well as strain. Example: Undeformed (before Loading) P Deformed (after Loading)

BEFORE LOADING: AFTER LOADING: Figure: 02-00-01UN01

Definition of Normal Strain: Definitions: Ds’ Ds = Initial length Ds’ = Final length = deformation = change in length = Ds’ - Ds Ds d Normal Strain = e = d/Ds = (Ds’ – Ds)/Ds Units = in/in or mm/mm or M/M, etc….

Definition of Normal Strain: Normal Strain = e = d/Ds = (Ds’ – Ds)/Ds Example: A shaft which is 60.000” in initial length grows to 60.005” after loading. Determine deformation and strain. Answer: d = 60.005” – 60.000” = 0.005” e = 0.005”/60.000 = 83.33 E-6 in/in = 83.33 min/in

Definition of Shear Strain: Figure: 02-02a Shear Strain = g = p/2 - q’ units = rad

Seismic mounts (tested in pairs) shown at 4. 5” displacement Seismic mounts (tested in pairs) shown at 4.5” displacement. What is the shear strain if the rubber thickness is 3.3” per mount??