A sphere 900mm-diameter floats half submerged in a tank of oil (sg=0.90) What is the total vertical pressure on the sphere? a. 1420 N b. 1592 N c. 7370 N d. 1690 N
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- In the cage system below; It is under the effect of a P=250 kN load acting at an angle of θ=30° from the point C. Calculate the horizontal displacement (cm) to the right at point C. (E=2000 kN/cm² and A=50 cm² will be taken for all bars.)The cylinder of weight, W, shown below is being hoisted up with the force F against the vertical wall. If us = 0.57 a. Determine the reaction force (resultant of normal force and frictional force) against the vertical wall. b. Calculate the force, F, needed to set the cylindrical roller in motion W or W1 (in kN) = 516Determine the vertical displacement of node A. Consider EA = 16x104 [kN-m]
- A rectangular plate with a width of 16 m and height of 12 m is located 4 m below the water surface. The plate is tilted and makes angle of 35deg angle with the horizontal. The resultant hydrostatic force in kN acting on the top surface of this plate is a. 9745 b. 5190 c. 10,800 d. 8470I WILL RATE! 1. What is the Horizontal Reaction at A? A. 0 B. 10 kN (to the right) C. 10 kN (to the left) D. 5 kN (to the left) 2. What is the Vertical Reaction at A? A. 11.67 kN upwardsB. 20.33 kN upwardsC. 32 kN upwardsD. 8 kN downwards 3. What is the Vertical Reaction at H? A. 20.33 kN upwardB. 11.67 kN upwardC. 32 kN upwardD. 8 kN downward 4. What is the Vertical Deflection at F? A. 2.74 mm downwardB. 0.42 mm downwardC. 0.36 mm upwardD. 1.17 mm upwardA square plate with 0.5m side length is placed in a water tank so that its centroid is in a depth of2.9m. If the flat surface of plate is placed in vertical plan and top edge is parallel to the freesurface, calculate the distance to the horizontal pressure force acting on one side of the surfacefrom the free surface.(a) 2.907 m(b) 3.000 m(c) 2.900 m(d) 3.010 m
- If a triangle of height d and base a is vertical and submerged in liquid with its vertex a distance below the liquid surface, determine the depth to its center of pressure. What is the horizontal force acting on the triangle? Assume ? water = 9790 N/m3. f = depth to apex, 2m d = height of triangle, 1m a = width of triangle, 1m The horizontal force (N) acting on the triangle is:A cylindrical caisson having an outside diameter of 7m floats in sea water sg=1.03 with its axis vertical and its lower end submerged 6m below the water surface. If its center of gravity is on the vertical axis and is 3m above the sea water surface. a. Determine the value of MBO, in meters b.Find the true metacentric height in meters is the caisson stable? c. find the restoring or upsetting couple, in kN-m, when the caisson is tipped through an angle of 9degree.For the simply supported beam carrying the concentrated load P = 176 N at its midspan, determine the magnitude of the maximum displacement (in mm) if d = 2.34 m, E = 11.24 GPa , and I =1749035mm4.
- A 3-cm-diameter horizontal pipe attached to a surface makes a 90° turn to a vertical upward direction before the water is discharged at a velocity of 6 m/s. The horizontal section is 5 m long and the vertical section is 4 m long. Neglecting the mass of the pipe and considering the weight of the water contained in the pipe, the bending moment acting on the base of the pipe on the wall is (a) 11.9 N·m (b) 46.7 N·m (c) 127 N·m (d) 104 N·m (e) 74.8 N·m2. 2. A rectangular pontoon 10 m by 4 m in plan, weighs 280 KN and floats in sea water of density 1025 kg m−3. A steel tube weighing 34 KN is placed longitudinally on the deck. When the tube is in a central position, the center of gravity for the combined mass is on the vertical axis of symmetry 0.25 m above the water surface. Find a) the metacentric height, and b) the maximum distance the tube may be rolled laterally across the deck if the angle of heel is not to exceed 5° c) Justify with complete illustration.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