A parabolic cable is held between two supports at the same level. The horizontal span between the supports is L. The sag at the mid span is h. The equation of the parabola is y = 4h\;{x^{2}}/{L^{2}}, where x is the horizontal coordinate and y is the vertical coordinate with the origin at the centre of the cable. The expression for the total length of the cable is:

Question

Examsnet · Accepted Answer

Correct Answer is : 2⁡∫0L∕2√1+64‌h2x2L4‌dx

GATE Civil Engineering (CE) 2010 Solved Paper