Biomech-Principal_Stress-Lecture

# Biomech-Principal_Stress-Lecture - Principal Stresses...

This preview shows pages 1–13. Sign up to view the full content.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Principal Stresses Introduction to Biomechanics 14:125:208 Definition • Principal Stress – Principal stresses are normal stresses that are found in planes where there is no normal shear stress – They are perpendicular to principal planes, point in principal directions. Transforming Stresses • How do we discover the effects of stresses on different planes – Not just parallel or perpendicular to the applied stress – rotate Transforming Stresses • Today we’ll look at how stresses are transformed under rotation of the coordinate axis – These equations can be used to find the maximum and minimum stresses in an element • We’ll look at plane stress Transforming Stresses • In our example, • This is true for thin plates and columns Transforming Stresses • Now what happens when we rotate Transforming Stresses • Take a look at one triangular slice of the cube and look at the forces Transforming Stresses • Sum the forces sin cos 2 sin cos sin cos 2 sin cos 2 2 ' 2 2 ' xy y x x xy y x x dA dA dA dA Transforming Stresses • From trigonometry • So therefore Transforming Stresses • Apply this to our equation • So Transforming Stresses • For y’ , just replace with +90 • Since Transforming Stresses • What about the shear stress?...
View Full Document

{[ snackBarMessage ]}

### Page1 / 30

Biomech-Principal_Stress-Lecture - Principal Stresses...

This preview shows document pages 1 - 13. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online