Help:Finding the minimum force to restain a block

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SUMMARY

The discussion focuses on calculating the minimum force required to restrain a granite cube with a volume of 30 m³ resting on a discontinuity at a 60-degree angle. The cube's density is 2700 kg/m³, resulting in a weight of 79.46 kN. The calculations provided include the components of weight along the plane, with mg sin(θ) yielding 68.8 kN and mg cos(θ) resulting in 39.73 kN. The main query is about determining the tension in the anchor when taut, which is essential for ensuring stability.

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  • Understanding of basic statics principles
  • Knowledge of weight calculation using the formula w=mg
  • Familiarity with friction angles and their impact on force calculations
  • Experience with tension calculations in anchoring systems
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Engineers, geotechnical professionals, and students studying mechanics or structural stability will benefit from this discussion, particularly those involved in rock anchoring and stability analysis.

mj1888
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Using basic statics determine the minimum load required on a rock anchor to restrain a cube with a volume of 30 m3 if it were resting on a discontinuity with an angle of 60 degrees.

The Attempt at a Solution


the cube in question is meant to be a cube of granite.
it has a density of 2700 kg/m3 and a angle of friction of 34 degrees.
i have calculated the weight using w=mg to be 79.46KN
along with mgsinƟ=68.8KN and mgcosƟ=39.73KN
however i do not know how to calculate the minimum force required to restrain the block.
id be grateful of any help.
 
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From the question it seems like they're asking you to calculate the tension in the anchor when it's taut. I think you've already done that, unless some other information regarding the coefficient of friction etc is given.
 

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