Normal force

Inclined plane : F _N is perpendicular to the support surface and acts on the block

A normal force is an interaction force in the contact zone between two bodies or a cutting force in a rod-shaped component. It is perpendicular to the contact surface or cut surface. The normal force acting in the direction of the normal vector generates compressive or tensile stresses . The normal force determines u. a. the frictional force between two bodies.

The formula for calculating the normal force results in the example from the equilibrium of forces for the block in the normal direction: with ${\ displaystyle F _ {\ text {N}}}$ ${\ displaystyle F _ {\ text {N}} = F _ {\ text {GN}}}$ ${\ displaystyle F _ {\ text {GN}} = \ cos \ alpha \ cdot F _ {\ text {G}}}$

This includes the angle of the inclined plane , the cosine of the angle of the inclined plane and the weight of the mass . ${\ displaystyle \ alpha}$ ${\ displaystyle \ cos \ alpha}$ ${\ displaystyle F _ {\ text {G}}}$ ${\ displaystyle m}$

In addition to the case of pure weight load, normal forces occur e.g. B. also as a result of aerodynamic downforce or due to the pressure in the bends when driving on a banked bend. In the latter case, the normal force results in:

{\ displaystyle F _ {\ text {N}} = F _ {\ text {G}} \ cdot \ cos \ alpha + F _ {\ text {F}} \ cdot \ sin \ alpha}

, with the centrifugal force .

{\ displaystyle F _ {\ text {F}}}

Beam theory

In the first-order member theory, the normal force is the longitudinal force parallel to the member axis direction:

{\ displaystyle F _ {\ text {N}} = \ int _ {A} \ sigma _ {xx} \ mathrm {d} A}

Web links

Wiktionary: normal force - explanations of meanings, word origins, synonyms, translations

Individual evidence

↑ H. Steger: Mechanical engineering for electrical engineers, part 2 . Teubner, 1991, ISBN 978-3-519-06735-1 , pp. 69 . ( limited preview in Google Book search).
^ Hans Albert Richard, Manuela Sander: Technical Mechanics. Strength theory . 2nd Edition. Vieweg + Teubner, 2008, ISBN 978-3-8348-0454-9 , pp. 32 . ( limited preview in Google Book search).

[1] H. Steger: Mechanical engineering for electrical engineers, part 2 . Teubner, 1991, ISBN 978-3-519-06735-1 , pp. 69 . ( limited preview in Google Book search).

[2] Hans Albert Richard, Manuela Sander: Technical Mechanics. Strength theory . 2nd Edition. Vieweg + Teubner, 2008, ISBN 978-3-8348-0454-9 , pp. 32 . ( limited preview in Google Book search).