Question

Chapter 02, Problem 122 The homogeneous gate shown in the figure below consists of one quarter of a circular cylinder and is used to maintain a water depth of 3.8 m. That is, when the water depth exceeds 3.8 m, the gate opens slightly and lets the water flow under it. Determine the weight of the qate per meter of length Pivot 3.8m 1 m kN W = the tolerance is +/-2% Open Show Work Show Work is REQUIRED for this question:

Answer 1

4R Cу Зл 2 W FH WA Fv --------------- ----- ---------- --------------- - ----------oann

du2onda fCo actiny on gat F4-hcv Av loooxq.1X 3. 3 Wx 3.1P - 32 313 -32-33kut vexbical force acting Fv hchAh cl000 Rq81x3-& x(xl 37278 N 37. 278 kN the uelght os watur propäitis (xX 2105 2qYN from the feD ftnd 4he follooi ng \engths 3IT -O.576m yA 3,3xCx) O525m

fidthe ungth A2=5-A cor 311 - 0-223m) EMOO 2105 X0-223- 32373X0 525 wCoo576 31-278X0. co 6 105 kN