Shearing (1)
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Shear stress is caused by forces acting parallel to the surface of an object. The shear stress τ can be calculated using the equation τ = V/A, where V is the shear load and A is the cross-sectional area resisting the force. Shear stress is illustrated in examples involving determining the width of a key connecting a pulley to a shaft and calculating the minimum diameter of a pin connecting structural members.
Shearing (1)
- 1. Strength of Materials: Shearing Arrogante, Kevin Bucad, Michael Tuyay, Mark Andrian
- 2. Shear Stress Forces parallel to the area resisting the force cause shearing stress. It differs to tensile and compressive stresses, which are caused by forces perpendicular to the area on which they act. Shearing stress is also known as tangential stress.
- 3. Shear Stress The shear stress 𝜏 can be obtained using the equation: 𝜏 = 𝑉 𝐴 Where 𝑉 is the shear Load and A is the area. We can express the same concept by defining the total surface parallel load V as 𝑉 = 𝜏𝑑𝐴 Where A is the area of the surface.
- 4. Shear Stress
- 5. Example
- 6. Solution
- 7. Example
- 8. Solution
- 9. Example
- 10. Solution
- 11. Solution
- 12. Example A 200-mm-diameter pulley is prevented from rotating relative to 60-mm-diameter shaft by a 70-mm-long key, as shown in Fig. P-118. If a torque T = 2.2 kN·m is applied to the shaft, determine the width b if the allowable shearing stress in the key is 60 MPa.
- 13. Solution 𝑇 = 0.03𝐹 2.2 = 0.03𝐹 𝐹 = 73.33𝑘𝑁 𝑉 = 𝜏𝐴 𝑉 = 𝐹 = 73.33𝑘𝑁 𝐴 = 70𝑏 73.33 1000 = 60 70𝑏 𝑏 = 17.46𝑚𝑚
- 14. Example The members of the structure in Fig. P-120 weigh 200 lb/ft. Determine the smallest diameter pin that can be used at A if the shearing stress is limited to 5000 psi.
- 16. For member BC