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"A Tale of Two Stans" is the twelfth episode of the second season of the American animated television series Gravity Falls, which was created by Alex Hirsch, and the 32nd episode overall. It was written by Josh Weinstein , Matt Chapman , and Hirsch, and directed by Sunil Hall, and originally aired on Disney XD on July 13, 2015.
Disney commissioned Hirsch to create an eleven-minute low-budget animated pilot [2] for Gravity Falls which he later described as "a short version of Tourist Trapped". [9] On December 9, 2010, it was announced that Disney Channel had greenlit Gravity Falls for a full series based on the pilot, which was originally slated to premiere in spring ...
The second and final season of the American animated television series Gravity Falls premiered on Disney Channel on August 1, 2014 and on Disney XD on August 4, 2014, and ended on February 15, 2016. [1] [2] It was greenlit on July 29, 2013, and consisted of 20 episodes.
The Timoshenko–Ehrenfest beam theory was developed by Stephen Timoshenko and Paul Ehrenfest [1] [2] [3] early in the 20th century. [ 4 ] [ 5 ] The model takes into account shear deformation and rotational bending effects, making it suitable for describing the behaviour of thick beams, sandwich composite beams , or beams subject to high ...
The deflection at any point, , along the span of a center loaded simply supported beam can be calculated using: [1] = for The special case of elastic deflection at the midpoint C of a beam, loaded at its center, supported by two simple supports is then given by: [ 1 ] δ C = F L 3 48 E I {\displaystyle \delta _{C}={\frac {FL^{3}}{48EI}}} where
By ignoring the effects of shear deformation and rotatory inertia, it is thus a special case of Timoshenko–Ehrenfest beam theory. It was first enunciated circa 1750, [ 2 ] but was not applied on a large scale until the development of the Eiffel Tower and the Ferris wheel in the late 19th century.
Contact mechanics is the study of the deformation of solids that touch each other at one or more points. [1] [2] A central distinction in contact mechanics is between stresses acting perpendicular to the contacting bodies' surfaces (known as normal stress) and frictional stresses acting tangentially between the surfaces (shear stress).
Strain, or reduced deformation, is a mathematical term that expresses the trend of the deformation change among the material field. Strain is the deformation per unit length. [ 9 ] In the case of uniaxial loading the displacement of a specimen (for example, a bar element) lead to a calculation of strain expressed as the quotient of the ...