B. A rectangular scow having a length of 15 m, width of 8 m, and 6 m deep has a displacement of 164 metric tons. If the scow tilts at an angle 16 degrees without overturning: 4. Determine the location of the center of gravity which lies on the vertical of symmetry. A. 4.28 m B. 3.98 m C. 4. 74 m D. 5.22 m
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- A gravity dam has a tringular cross section, with the upstream face vertical and with the impunded water flushed with the crest. The height of the structure is 8 m while its base is 6 m long. If there is no hydrostatic uplift and the friction coeffient between the base and the foundation is 0.80 and the spefcific weight of concrete is 23,540 N/m^3, find the factor of safety against sliding. a.2.67 b.5.24 c.1.44 d.2.57An embankment for road traffic is required to be constructed with the followingdimensions :Top width = 8 m, height = 4 m, side slopes= I V : 1.5 HorThe unit weight of soil under the worst condition is 21 kN/m3. The surcharge load on theroad surface may be taken as 50 kN/m2. Compute the vertical pressure at a depth of 6 mbelow the ground surface at the following locations:(i) On the central longitudinal plane of the embankment,(ii) Below the toes of the embankmInvestigate the dam by computing the factors of safety against 1. Sliding 2.Overturning 3.also compute the soil pressure and compare the maximum pressure against the allowable bearing capacity of soil of 300kpa. Is this a good design? Explain Use u=0.60 and sg of dam=2.40
- Problem: A rectangular scow 9m wide, 15m long, and 3.6m high has a draft in seawater 2.4m. G is located 2.7m above the bottom of the scow. Determine the following: a) The initial metacentric height b) The righting or overturning moment when the scow tilts until one side is just at the point of submergence.A trapezoidal dam having a top width of 0.60m and a bottom width of 1.2m is 1.8m high. The depth of water on the vertical side of the dam is 2.4m. Unit wt. of concrete is 23.5 kN/m3. Neglecting hydrostatic uplift. Determine the total horizontal hydrostatic force acting on the dam, the factor of safety against overturning and the factor of safety against sliding if coefficient of friction between the dam and the soil is 0.80.A rectangular scow 6.5 meter wide, 10 meter long and 4 meter high is submerged in fresh water by 2 meter. Its center of gravity is fixed at 3.2 meter above the bottom of the scow lying at the vertical axis of symmetry. An additional weight was placed in the scow causing it to submerge further. If the additional weight is equal to 360 kN and is placed 3 meter to the right of the axis of rotation, solve the following:1. Total draft2. Angle of tilt3. Moment arm, x4. Metacentric Height
- ) Evaluate the stability of the 3 m wide x 4 m deep (into the page) x 2 m tall block with a SG of 0.5 shown below in seawater (SG = 1.03) by determining the displaced depth and the metacenter height.5. What is the factor of safety against overturning for the triangular dam? Determine the pressure distribution at the base of the dam. Neglect hydrostatic uplift. Use unit weight of concrete 24kN/m³.A rectangular channel 1 m wide, Chézy C = 60, S = 0.0064, carries 1 m/s. Determine the velocity.
- A rectangular dam that is 4 meter wide and 10 meter high retains 8 meter high seawater with specific gravity equal to 1.05 . Determine the factor of safety for sliding and overturning per linear meter if the coefficient of friction between the dam and the sea floor is 0.8 and unit weight of concrete is 23.5kN/m^3.An embankment for road traffic is required to be constructed with the following dimensions :Top width = 8 m, height = 4 m, side slopes= IV : 1.5 HorThe unit weight of soil under the worst condition is 21 kN/m3. The surcharge load on the road surface may be taken as 50 kN/m2 Compute the vertical pressure at a depth of 6 mbelow the ground surface at the following locations:(i) On the central longitudinal plane of the embankment,(ii) Below the toes of the embankment. If the top width of the road given in above Problem is reduced to zero, what would be the change in the vertical pressure at the same points?A 5 m length of inclined steel strip is installed in a pull-out (tension) condition. The soil has angle of friction of 35°, and the vertical pressure on the strip is 32 kPa. What is the approximate pull-out force on the strip if it is 75 mm wide? The strip inclined by -10° from the horizontal at its connection point on REW face.