For the circular arch shown in the figure, compute the value of "P " such that the vertical defiection at point B is zero. 50 kN A Ret P
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- What is the minimum width for the base of a dam 30m high if upward pressure beneath the dam is assumed uniformly from full hydrostatic head at the heel to zero at the toes? Use the resultant of the reacting force cut the base at the downstream edge of the middle third of the base at O and weight of the concrete is 2.5w.1. A masonry dam 60cm on top and 3 m at the bottom and 7 m high has water 5 m deep acting on its vertical sides. Specific weight of masonry is 23.54 KN/m^3. How far is the vertical resultant force from the toe? 2. A 0.65-meter diameter window has its center five meters below the water surface. Determine the force acting on the window considering the window is submerged vertically.The section of the masonry dam is shown in Figure3a. If the uplift pressure varies uniformly from fullhydrostatic at the heel to full hydrostatic at the toe,but acts only over 2/3 of the area of the base, find(a) the location of the resultant; (b) the factor ofsafety against overturning; and (c) the factor ofsafety against sliding if the coefficient of frictionbetween base and foundation is 0.60. Unit weight of concrete and masonry is 23.54 kN/m3for all the problems NOTE: CLEAR HANDWRITTEN SOLUTION
- From the given figure. Determine the location of lateral force from the base of the wall in meters.Calculate the shear stress for the illustrated flow to 2 significant figures(dyn/cm2 ; do not use scientific notation).The cross section of a proposed concrete retaining wall is shown in Figure 4. The unit weight of the concrete being 24kN/m3. The soil carries a uniformly distributed load of 40kN/m2 at the top. Given c=0, f=32°, gsoil=17.5kN/m3 and µ=0.5. From the data: Check the stability of the retaining wall against sliding and overturning Determine the maximum and minimum pressure under the retaining wall.
- A masonry dam has a given cross-section shown. The intensity of hydrostatic uplift varies uniformly from 100% of the full hydrostatic upkift pressure at the heel to the zero atvthe toe. Concrete weighs 23.6 KN/m^3. Fibd the 1. Total vertical reaction at the bottom of the dam 2. The factor of safety against sliding if the coefficient of friction at base is 0.70 3.the factor of safety against overturning 4. The soil pressure at the heel and atvthe toeA rectangular gate, 1m wide supports water as shown in the figure below. The gate is hinged at the bottom and is kept in a vertical position by a concrete clock ( ϒ=23.6KN/m3 ) connected by a cable. a) Determine the hydrostatic force acting on the gate. b) Determine the tension in the cable assuming a minimum volume of concrete block is keeping the gate in a vertical position. c) Determine the minimum volume of concrete block required.For the masonry dam shown, the hydrostatic uplift varies from 20% hydrostatic pressure at the heel to zero at the toe. The specific gravity of masonry is 2.4. If μ = 0.60, calculate “b” if factor of safety against sliding is 1.50
- Water flows at a rate of 3 m3/s through a 300 mm diameter pipe in which there is a 90 degreebend.(a) if the pressure at the entrance to the bend is 450 kN/m2 (absolute), determine the total force necessary to anchor the bend. FricLon losses can be neglected (b) if the bend was only 60 degree, by how much would the anchoring force change?A slab shown supports the load W1 and W2 for every one-meter strip along the longitudinal section. If the total length L= 15m and W=145 kN/m, determine the load W2 in kN/m so that the upward pressure on the slab is uniform and that the barge remains horizontalThe diagram is a three-hinged semi-circular arch. The horizontal component for the 30 kN force is? a. 15.98 kN b. 20.98 kN c. 25.98 kN d. 30.98 kN The vertical component for the 30 kN force is? a. 10kN b. 15 kN c. 18 kN d. 20 kN