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  2. Shields formula - Wikipedia

    en.wikipedia.org/wiki/Shields_formula

    The shear stress that works on the bottom (with a normal uniform flow along a slope) is: =, where: is the shear tension exerted by the flow on the bed; is the water depth; is the gradient (= the slope of the current).

  3. Müller-Breslau's principle - Wikipedia

    en.wikipedia.org/wiki/Müller-Breslau's_principle

    Part (d) of the figure shows the influence line for shear at point B. Using the beam sign convention and cutting the beam at B, we can deduce the figure shown. Part (e) of the figure shows the influence line for the bending moment at point B. Again making a cut through the beam at point B and using the beam sign convention, we can deduce the ...

  4. Mohr–Coulomb theory - Wikipedia

    en.wikipedia.org/wiki/Mohr–Coulomb_theory

    where is the shear strength, is the normal stress, is the intercept of the failure envelope with the axis, and ⁡ is the slope of the failure envelope. The quantity c {\displaystyle c} is often called the cohesion and the angle ϕ {\displaystyle \phi } is called the angle of internal friction .

  5. Conjugate beam method - Wikipedia

    en.wikipedia.org/wiki/Conjugate_beam_method

    (0) real beam, (1) shear and moment, (2) conjugate beam, (3) slope and displacement The conjugate-beam methods is an engineering method to derive the slope and displacement of a beam. A conjugate beam is defined as an imaginary beam with the same dimensions (length) as that of the original beam but load at any point on the conjugate beam is ...

  6. Influence line - Wikipedia

    en.wikipedia.org/wiki/Influence_line

    The influence line helps designers find where to place a live load in order to calculate the maximum resulting response for each of the following functions: reaction, shear, or moment. The designer can then scale the influence line by the greatest expected load to calculate the maximum response of each function for which the beam or truss must ...

  7. Depth–slope product - Wikipedia

    en.wikipedia.org/wiki/Depth–slope_product

    The use of the depth–slope product — in computing the bed shear-stress — specifically refers to two assumptions that are widely applicable to natural river channels: that the angle of the channel from horizontal is small enough that it can be approximated as the slope by the small-angle formula, and that the channel is much wider than it is deep, and sidewall effects can be ignored.

  8. Deflection (engineering) - Wikipedia

    en.wikipedia.org/wiki/Deflection_(engineering)

    The deflection distance of a member under a load can be calculated by integrating the function that mathematically describes the slope of the deflected shape of the member under that load. Standard formulas exist for the deflection of common beam configurations and load cases at discrete locations.

  9. Shields parameter - Wikipedia

    en.wikipedia.org/wiki/Shields_parameter

    The Shields parameter, also called the Shields criterion or Shields number, is a nondimensional number used to calculate the initiation of motion of sediment in a fluid flow. It is a dimensionalization of a shear stress , and is typically denoted ψ {\displaystyle \psi } or θ {\displaystyle \theta } .