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A shearing force is applied to the top of the rectangle while the bottom is held in place. The resulting shear stress, τ, deforms the rectangle into a parallelogram.
A shear force is applied to the top of the rectangle that deform the rectangle into a parallelogram. Having a higher shear strength increases the force needed to deform the rectangle.


Equations

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For average shear stress
where
is the average shear stress,
is the shear force applied to each section of the part, and
is the area of the section.[1]
Average shear stress can also be defined as the total force of as
[2]
Practically, the equations only give an approximation. Stress is not often equally distributed across a part so the shear strength would need to be higher to count for the estimate along with a factor of safety.

Comparisons

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There are no published standard values for shear strength like with tensile and yield strength. Instead, it is common for it to be estimated as 60% of the ultimate tensile strength. Shear strength can be measures by a torsion test where it is equal to there torsional strength.[3][4]

  1. ^ Hibbeler, Russell. Mechanics of materials. ISBN 1-292-17828-0. OCLC 1014358513.
  2. ^ "Mechanics eBook: Shear and Bearing Stress". www.ecourses.ou.edu. Retrieved 2020-02-14.
  3. ^ "Shear Strength - Instron". www.instron.us. Retrieved 2020-02-14.
  4. ^ Portl; Portl, bolt com; Bolt; Company, Manufacturing; St, Inc 3441 NW Guam; Portl; PT547-6758, OR 97210 USA Hours: Monday-Friday 6 AM to 5 PM. "Calculating Yield & Tensile Strength". Portland Bolt. Retrieved 2020-02-14. {{cite web}}: |last4= has generic name (help)CS1 maint: numeric names: authors list (link)