Statics S4 slide 5: Why multidimensional stress-strain relationships? (ENGR5004) - Revisica

Statics S4 slide 5: Why multidimensional stress-strain relationships?From lectureCurrent spec2:24 marks5 min

ENGR5004 Statics session 04, slide 5 (Introduction, FUNDAMENTAL QUESTION)

FUNDAMENTAL QUESTION: Why are we doing this? Why do we need multidimensional relationships among applied loads, stress and strain fields?

Formulas you may need

Generalised Hooke's law: $\epsilon_x = \dfrac{\sigma_x}{E} - \dfrac{\nu\sigma_y}{E} - \dfrac{\nu\sigma_z}{E}$ (and cyclic), $\gamma_{xy} = \dfrac{\tau_{xy}}{G}$ etc. (learn this)
$G = \dfrac{E}{2(1 + \nu)}$ (learn this)

Related questions

Dynamics S1 slide 10: Do particles and rigid bodies really exist? particle-kinematics, particle-model, rigid-body-model, concept
Dynamics S1 slide 11: Units of unit vectors particle-kinematics, unit-vectors, units, concept
Dynamics S1 slide 12: Rocket altitude to velocity and acceleration particle-kinematics, rectilinear-motion, differentiation, concept
Dynamics S1 slide 13: Sports car as a particle particle-kinematics, rectilinear-motion, constant-acceleration, particle-model, concept
Dynamics S2 slide 4: Radar-tracked aeroplane particle-kinematics, cartesian-coordinates, radar-tracking, differentiation, concept
Dynamics S2 slide 11: Is acceleration tangent to the path? particle-kinematics, cartesian-coordinates, n-t-coordinates, normal-acceleration, concept
Statics S1 slide 16: Consolidating foundations statically-indeterminate, reactions, free-body-diagram, degrees-of-freedom, concept
Dynamics S3 slide 4: Total acceleration of a car on a curve particle-kinematics, n-t-coordinates, tangential-acceleration, normal-acceleration, concept