BIAXIAL STRESS AND MSS THEORY FAILURE BOUNDARIES PART

BI-AXIAL STRESS AND MSS THEORY FAILURE BOUNDARIES PART 6 B SUMMARY 1

MAXIMUM SHEAR STRESS Statement of theory • When Yielding occurs in any material • The maximum shear stress at the point of failure • Equals or Exceeds • The maximum shear stress when yielding occurs • In the tension test specimen. 2

PRINCIPAL STRESSES IN BIAXIAL STRESS SITUATION • In plane stress situation, the principal stresses are given by the expression 3

BIAXIAL STRESS SITUATION • For plane (bi-axial) stress situation • Third principal stress is zero • The extreme values of shear stress are then expressed as: 4

UNI-AXIAL STRESS SITUATION • Simple tension is an example • When yielding occurs in tension test specimen 5

MOHR’S CIRCLE DIAGRAMS 6

MAXIMUM SHEAR STRESS THEORY IN BI-AXIAL STRESS • Principal stresses: of OPPOSITE sign 7

PRINCIPAL STRESSES: of OPPOSITE sign 8

MAXIMUM SHEAR STRESS THEORY IN BI-AXIAL STRESS • Principal stresses: of SAME sign 9

PRINCIPAL STRESSES: of SAME sign • Expression for Failure boundaries 10

MOHR’S CIRCLE DIAGRAMS BI-AXIAL STRESS 11

MAXIMUM SHEAR STRESS THEORY IN BI-AXIAL STRESS • Failure boundaries in bi-axial stress 12

MAXIMUM SHEAR STRESS THEORY IN BI-AXIAL STRESS • Failure boundaries in bi-axial stress 13