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(maximum shear stress = PGA*effective stress/ g) is this formula correct?

Question

(maximum shear stress = PGA*effective stress/ g) is this formula correct?

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Solution

No, the formula you provided is not typically used to calculate maximum shear stress. The most common formula for maximum shear stress (τmax) in solid mechanics is:

τmax = σ/2

where σ is the applied normal stress.

However, in the context of geotechnical engineering, shear stress (τ) is often calculated using the formula:

τ = σ' * tan(φ)

where σ' is the effective normal stress and φ is the angle of internal friction.

The formula you provided seems to incorporate Peak Ground Acceleration (PGA), which is a measure used in earthquake engineering. It's possible that this formula is used in a very specific context within geotechnical earthquake engineering, but without more information, it's difficult to say if it's correct.

It's best to refer to your textbook or course materials, or consult with your professor or a professional in the field.

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