A post tensioned cable of beam 10m long is initially tensioned to a stress of 1000n/mm2 at one end, slope is 1 in 24 tendons curved at each end , area is 600mm2, Es is 210kn/mm2, coefficient of friction between duct and cable is 0.55, friction coefficient for wave effect is 0.0015perm. During anchorage, if there is a slip 3mm at the jacking end, calculate final force?
A post tensioned cable of beam 10m long is initially tensioned to a stress of 1000n/mm2 at one end, slope is 1 in 24 tendons curved at each end , area is 600mm2, Es is 210kn/mm2, coefficient of friction between duct and cable is 0.55, friction coefficient for wave effect is 0.0015perm. During anchorage, if there is a slip 3mm at the jacking end, calculate final force? Correct Answer 37.8kn
Total change of slope from end to end α = (2×1/24) = (1/12), μα = (0.55×1/12) = 0.046, kx = (0.0015×10) = 0.015, P˳(μα+kx) = 1000(0.046+0.015) = 61n/mm2, Slip at the jacking end = 3 = (PL/AE) P = (3×210×103×600/10×1000) = 37800kn = 37.8kn.