Question

A water trough of semicircular cross section of radius 0.6 m consists of two symmetric parts hinged to each other at the bottom, as shown in Fig. 1. The two parts are held together by a cable and turnbuckle placed every 3 m along the length of the trough. Calculate the tension in each cable when the trough is filled to the rim. Draw a sketch to illustrate the problem solution and show all your work (write formulae, substitutions with units, detailed calculations). (8 points) 1.2 m Cable Hinge Figure 1

Answer 1

Fx is X component of hydrostatic force which is calculated using the projected area of quarter circle and acts at a depth Xp from free surface shucks Fy is y component of hydrostatic force which acts Yp apart from the hinge itself.

4р - 14 +1 = F = 38 Ap, X: 480 x [06x3]x (- 3 fx = 5.2974 KN 0.4313 +.3 2044 м AR 12.6х3x. 3 fu= weight of liquid coloumn above half portion F. R.V.3 - 4 Wid x 14. х 3 : P. 32 | ku 2 4 Яр: Чr 3A - Чх. 0-2 м 3л.

FBD dum о со -- 20. So so Fus 0.2 Sче +Ғнх0.2 г Тх. Вт = 8.321 x0.2Kчь+ S-2479xo.2 00: 0 T. S. 2913 kg

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