A force P is applied as shown to a steel reinforcing bar

Chapter 1, Problem 1.68

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QUESTION:

A force P is applied as shown to a steel reinforcing bar that has been embedded in a block of concrete. Determine the smallest length L for which the full allowable normal stress in the bar can be developed. Express the result in terms of the diameter d of the bar, the allowable normal stress \(\sigma_{\text {all }}\) in the steel, and the average allowable bond stress \(\tau_{\mathrm{all}}\) between the concrete and the cylindrical surface of the bar. (Neglect the normal stresses between the concrete and the end of the bar.)

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QUESTION:

A force P is applied as shown to a steel reinforcing bar that has been embedded in a block of concrete. Determine the smallest length L for which the full allowable normal stress in the bar can be developed. Express the result in terms of the diameter d of the bar, the allowable normal stress \(\sigma_{\text {all }}\) in the steel, and the average allowable bond stress \(\tau_{\mathrm{all}}\) between the concrete and the cylindrical surface of the bar. (Neglect the normal stresses between the concrete and the end of the bar.)

ANSWER:

Step 1 of 4

We have to determine the smallest length L for which the full allowable normal stress in the bar can be developed. This is possible when normal stress and shearing stress are equal.

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