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determine the factor of safety ‘n’ at point B
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- A cargo ship is tied down to marine boll arts at a number of points along its length while its cargo is unloaded by a container handling crane. Each bollard is fastened to the wharf using anchor bolts. Three cables having known tension force magnitudes F, = ll0 kN.F, = 85kN.and F, 9OkNare secured to one bollard at a point A with coordinates (0.0.45 m. 0) in the x-r-: coordinate system shown in the figure part b. Each cable force is directed at an attachment point on the ship. Force F, is directed from point A to a point on the ship having coordinates (3 m, 9 m. 0) force F, is directed at a point with coordinates (6.5 m. 8.5 m. 2 m) and force F, is directed at a point with coordinates (8 m. 9 m. S m). The diameter of each anchor bolts is 4 24 mm. (a) Find the reaction forces and reaction moments at the base of the bollard. (b) Calculate the average shear stress in the anchor bolts (in the x-: plane). Assume each bolt cart ics an equal share of the total force.The rectangular framework is subjected to the following non-concurrent system of forces: a 30lb- force below the origin, a 20 lb-force,3ft above the origin and making an angle of30°N of E, a 100lb-force with a horizontal distance of 3ft and a vertical distance of 4ftfrom the origin and making an angle of 45°NW , a 60lb -force with the same distance like the previous force but along the positive x-axis, and a 100lb- force 4ft tothe right of the origin and making an angle of 60° S of W . Determine the magnitude and direction of the resultant, as well as its moment arm relative to the origin.Two circular shafts, one hollow and one solid, are made of the same material and have the diameter shown below.If TH is the twisting moment that the solid shaft can resist, what is the ratio of Th to Ts
- F1 = 250 lbx = 6 fty = 2 fta = 3b = 2Total Moment = 400 lb-ft (counterclockwise) Find the perpendicular moment arm of F (in ft). Find F (in lb).A box has a dimension of 12 inches by 8 inches, as shown in the figure. A force F, with an angle of 60 degrees act at vertex E of the rectangle. If this force creates a torque of 479.423 lb-in, with respect to the point of rotation (vertex c), what is the value of the force?An L-shaped bracket is supported by a frictionless pin at A and a cable between points B and D. If pin A is the origin, point C is at (-7, 0); and pin B is at (-7, -10). The cable is attached between point B and an anchor at point D, at (-2, -14). Units are in feet. Force F acts at point C at an angle of 60o from the positive x-axis. Determine the magnitude of the moment that the force F produces about point A. Determine the tension required to hold the bracket in position.
- A horizontal rod of length L= 9.64 m is attached to an axel in such a way that the axel is located at its left end. Three forces are acting on the rod: F1= 11.6N at the location 2.59 m from the axel, F2 = 15.7 N at the location 5.02 m from the axel, and F3 =15.0 N at the laction 2.31 m from the axel. F1 (pointing up and to the right) makes an angel of 47.7 degrees with the rod, F2 (pointing up and to the left) makes an angel of 45.1 with the rod, and F3 points directly downwards. Calculate the net torque that these three forces exert on the rod. Also, indicate if the torque is clockwise it counter-clockwise.Aluminum Rod#1 has a length L and a diameter d. Aluminum Rod#2 has a length 2L and a diameter 2d. If Rod#1 is under tension T and Rod#2 is under tension 2T, how do the changes in length of the two rods compare?Please reply as soon as posible The arms AB and BC of the desk lamp shown in the figure are contained in a plane that makes an angle of 30º with the xy plane. The following forces and torques are applied: •A force F1, parallel to the y axis, applied at the point middle of bar AB. •A force of 8 N at point C, raised 45º above line CD which is parallel to the z axis. •A torque of 10 Nm at point B, which is parallel to line OE. F1 = 9N AB = 360 mm BC = 266 mm So, 1. Calculate and indicate the Force-Pare equivalent system in A 2. Assuming that the system is in equilibrium and that the support in A no allows movement in either direction (both displacement and rotation), indicate the reaction forces and moments acting at point A.
- The rod made of two different materials is fixed at point A. AB aluminum, BC steel It is made of materials. E1 = 70 Gpa and E2 = 210 Gpa. P = 100 kN axial compressive force It affects the C point. The diameter of the circular bars is D1 = 80 mm, D2 = 40 mm and their length L1 = 20 cm. and L2 = 30 cm. (The direction of the force P is in the negative x-axis direction.) a) What are the displacements at B and C points? b) What is the reaction force at point A? c) What are the stresses in the bar?A turning force of 4 kN parallel to the "y" axis will be applied at the C point of the arm connected to the steel shaft AB in the figure. Accordingly, find the safe diameter value of the AB shaft using TRESCA and VON-MISES criteria.A rectangular steel block is 4 inches long in the x-direction, 6 inches long in the y-direction, and 3 inches long in the z-direction. The block is subjected to a tri-axial loading of three uniform distributed forces as follows: 55 kips compression in the x direction, 62 kips tension in the y direction, and 24 kips tension in the z direction. If the Poisson’s ration is 0.26 and E = 29 x 106 psi, determine the single uniform distributed load in the y direction that would produce the same deformation in the x direction as the original loading.