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A 30-m steel tape standardized at 20C and supported throughout under a tension of 6.8 kg was found to be 30.007 m long. The

 

A 30-m steel tape standardized at 20C and supported throughout under a tension of 6.8 kg was found to be 30.007 m long. The tape had a cross-sectional area of 0.05 cm2 and a weight of 0.04 kg/m. This tape is used to lay out a horizontal distance AB of exactly 55 m. The ground is on a smooth 3% grade, thus the tape will be used fully supported. Determine the correct slope distance to lay out if a pull of 9 kg is used and .the temperature is 30C Assume, a,-12x10-5, E-2x10 ka/ cm?. Solution The correction due to incorrect length tape CL = m The correction due to temperature change CT = m The correction due to incorrect tension force Cp = The correction due to sagging Cs = The slope correct length S The horizontal distance to lay off H = E E E E EE

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