Loss of Stress due to Anchorage Slip of Anchorages:

The loss of stress due to anchorage slip of anchorages is given by the formula EsA/L, where Es is the slip modulus, A is the cross-sectional area of the bar, and L is the length of the bar.

Explanation:

Anchorage slip refers to the relative movement between the reinforcement bar and the concrete in a reinforced concrete structure. It occurs at the anchorage zones where the reinforcement is anchored to resist the applied forces. Due to various factors such as inadequate bond strength, inadequate development length, or excessive applied loads, the reinforcement bar may slip within the concrete.

The loss of stress due to anchorage slip can be calculated using the slip modulus, which is a measure of the bond strength between the reinforcement and the concrete. The slip modulus represents the stiffness of the bond and is influenced by factors such as the surface condition of the reinforcement, the quality of the concrete, and the presence of any bond-enhancing materials.

The loss of stress is directly proportional to the slip modulus, the cross-sectional area of the bar, and inversely proportional to the length of the bar. This can be understood by considering the equation EsA/L. As the slip modulus increases, the loss of stress also increases. Similarly, as the cross-sectional area of the bar increases, the loss of stress increases. On the other hand, as the length of the bar increases, the loss of stress decreases.

In summary, the loss of stress due to anchorage slip of anchorages can be calculated using the formula EsA/L, where Es is the slip modulus, A is the cross-sectional area of the bar, and L is the length of the bar. This formula takes into account the bond strength, the size of the reinforcement, and the length of the bar to determine the extent of stress loss due to anchorage slip.