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This section calculates the force required to cut a piece of material with a shearing action. The relevant information is the area of the material being sheared, i.e. the area across which the shearing action takes place, and the shear strength of the material. A round bar of steel is used as an
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A crack or tear may develop in a body from parallel shearing forces acting in opposite directions at different points of the body. If the forces were aligned with each other, they would elongate or shorten the body, depending on their direction, rather than tear or crack
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example. The shear strength is calculated from the tensile strength using a factor which relates the two strengths. In this case 0.6 applies to the example steel, known as EN8 bright, although it can vary from 0.58 to 0.62 depending on application.
163:, the strength comes from friction between the materials bolted together. Bolts are correctly torqued to maintain the friction. The shear force only becomes relevant when the bolts are not torqued.
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Shearing forces act in one direction at the top, and the opposite direction at the bottom, causing shearing
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in a specific direction, and another part of the body in the opposite direction. When the forces are
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82:: "If a plane is passed through a body, a force acting along this plane is called a
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To calculate the force to shear a 25 mm diameter bar of EN8 bright steel;
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N/mm) or 0.4 kN/mm and yield strength is 0.60 times tensile strength, 240
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kN/mm and the yield strength is 0.90 times tensile strength, 1080
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MPa and mild steel, for comparison, has a tensile strength of 400
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Schaum's
Outline of Theory and Problems of Strength of Materials
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A bolt with property class 12.9 has a tensile strength of 1200
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tonne-force × 0.6 (to change force from tensile to shear) = 24
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Coplanar forces acting on the same body in opposite directions
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A bolt with property class 4.6 has a tensile strength of 400
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78:. Shear force can also be defined in terms of
231:Newton's laws of motion § Newton's third law
66:(aligned with each other), they are called
117:area of the bar in mm = (12.5)(π) ≈ 490.8
256:. McGraw-Hill Professional. p. 82.
102:EN8 bright has a tensile strength of 800
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250:William A. Nash (1 July 1998).
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94:Force required to shear steel
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58:acting on one part of a
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19:Further information:
155:When working with a
205:MPa in this case.
186:MPa in this case.
75:compression forces
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296:Civil engineering
263:978-0-07-046617-3
221:Cantilever method
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52:shearing forces
48:solid mechanics
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88:shearing force
69:tension forces
54:are unaligned
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128:kN/mm × 490.8
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267:. Retrieved
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226:Résal effect
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178:N/mm) or 1.2
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161:bolted joint
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21:Shear stress
151:tonne-force
140:tonne-force
132:mm = 392.64
84:shear force
31:deformation
285:Categories
237:References
215:ASTM F568M
64:collinear
209:See also
197:MPa = 1
174:MPa = 1
157:riveted
136:kN ≈ 40
269:20 May
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193:MPa (1
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170:MPa (1
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80:planes
56:forces
291:Force
110:MPa.
271:2012
258:ISBN
60:body
124:0.8
90:."
86:or
72:or
46:In
42:it.
287::
143:40
121:mm
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273:.
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