Consider a three hinged parabolic arch as shown in figure below: 50 KN 5m- B 9m 30 m What will be the horizontal thrust developed at A?
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- 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 SOLUTIONFor the parabolic arch in Figure P6.17, plot the variation of the thrust T at support A for values of h = 12, 24, 36, 48, and 60 ft.A sector-shaped sluice gate having a radius of curvature of 5.4 m is as shown. The center of curvature C is 0.9m vertically below the lower edge A of the gate about which the gate is constructed to turn. If the water level is 2.4m above the lower edge of the gate (a) Determine the magnitude (in kN) and direction (R or L) of the horizontal component of the force acting on the curved gate AB. (b) Determine the magnitude (in kN) and direction (U or D) of the total vertical component of the force acting on the curved gate. Determine the magnitude of the total force (in kN) acting on the gate. Determine the angle that the total force acting on the gate makes with the horizontal.
- A three hinged parabolic arch has a span of 25 m and rise of 5 m. Two point load of 80 kN and 160 KNdistance 4 m apart moves on the span from left to right. Calculate the positive and negative bendingmoment at a section 8 m from the left end.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 toe1.determine the support reaction for the three hinge parabolic arch as shown in figure below. 2. determine the normal force (N) and shear forces (V) at point F in the three hinge parabolic arch as shown in figure below.
- The section of masonry dam is shown in Fig. U. If the uplift pressure variesuniformly from full hydrostatic at the heel to full hydrostatic at the toe, but acts only 2/3 of the area of the base, find: (a) the location of the resultant, (b) factor safety against overturning, (c) factor of safety against sliding if the coefficient of friction between base and foundation is 0.60.Figure shows a three hinged parabolic arch provided with a tie rod.Apply static equilibrium equations to calculate force in tie rod.1. determine the support reaction for the three hinge parabolic arch as shown in figure below. 2. determine the normal force (N) and shear forces (V) at point Q in the three hinge parabolic arch as shown in figure below.
- 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?The section of a concrete gravity dam is shown in the figure. The depth of the upstream side is 6.0 m. Neglect the hydrostatic uplift and use unit weight concrete equal to 24 kN/m3. The coefficient of friction between the base of the dam and foundation is 0.4. Determine the following: (a) factor of safety against sliding (b) factor of safety against overturning (c)the overturning moment acting against the dam in KN-m.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