definition A.689 Edge resultants

open in the book · appendices/A-long-proofs.tex:33521 · p. 3128

ground object -- no derivation owed

Rests on

depends_on equation A.1110 eq:app-kirchhoff-moments ¶
depends_on proposition A.682 The plane-stress law ¶
- depends_on definition 30.63 Flexural rigidity ¶
  - depends_on proposition 30.33 Conversion among the moduli ¶
    - depends_on definition 30.31 The engineering moduli ¶
      - depends_on definition 30.20 Pressure and deviatoric stress ¶
      - depends_on equation 30.21 eq:elast-hooke-isotropic ¶
    - depends_on phenomenon 30.32 Poisson contraction ¶
      - depends_on phenomenon 30.28 Hooke's law ¶
      - depends_on proposition 30.30 Stability bounds ¶
      - proves proof ch:13-continuum-elasticity@proof-14 ¶
    - proves proof ch:13-continuum-elasticity@proof-15 ¶
  - depends_on proposition 30.51 Moment and curvature ¶
    - depends_on definition 30.31 The engineering moduli ¶ ↺
    - depends_on equation 30.21 eq:elast-hooke-isotropic ¶ ↺
    - proves proof ch:13-continuum-elasticity@proof-27 ¶
- depends_on equation 30.21 eq:elast-hooke-isotropic ¶ ↺
- depends_on proposition 30.33 Conversion among the moduli ¶ ↺
- proves proof app:A-long-proofs@proof-405 ¶

Supports

depends_on remark A.690 Poisson's count, and why it cannot be right ¶
depends_on theorem A.691 Kirchhoff's edge conditions and the corner force ¶
- depends_on remark A.692 The corner force is real, and you can feel it ¶

Neighborhood

Every logical edge within two steps of this node.

declared and complete
partly declared
a check failed
not graded
declared in the source
inferred from structure

Edges

type	direction	node	provenance	where
`depends_on`	→	eq:app-kirchhoff-moments	declared	appendices/A-long-proofs.tex:33544
`depends_on`	→	The plane-stress law	declared	appendices/A-long-proofs.tex:33544
`depends_on`	←	Poisson's count, and why it cannot be right	declared	appendices/A-long-proofs.tex:33563
`depends_on`	←	Kirchhoff's edge conditions and the corner force	declared	appendices/A-long-proofs.tex:33593