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- Repeat Problem 11.2-3 assuming that R= 10 kN · m/rad and L = 2 m.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.Two steel wines support a moveable overhead camera weighing W = 28 lb (see figure part a) used For close-up to viewing of field action at sporting, events. At some instant, wire I is at an angle a = 22° to the horizontal and wire 2 is at angle fi = 40°. Wires I and 2 have diameters of 30and 35 mils, respectively. (Wire diameters are often expressed in mils; one mil equals 0.001 in.) (a) Determine the tensile stresses s and s2 in the two wires. (b) If the stresses in wires 1 and 2 must be the same, what is the required diameter of wire 1 ? (c) To stabilize the camera for windy outdoor conditions, a third wire is added (see figure part b). Assume the three wires meet at a common point coordinates (0, 0. 0) above the camera at the instant shown in figure part b. Wire I is attached to a support at coordinates (75 ft, 48 ft, 70 Ft). Wire 2 is supported at (-70 ft. 55 ft, 80 Ft). Wire 3 is supported at (-10 ft. -85 Ft, 75 ft). Assume that all three wires have a diameter of 30 mils. Find the tensile stresses in all three wires
- Repeat Problem 11.2-14 using L = 12 ft, ß = 0.25 kips/in., ßRl= 1.5ßL2, and ßR2= 2 ßR1.A bicycle chain consists of a series of small links, where each are 12 mm long between the centers of the pins (see figure). You might wish to examine a bicycle chain and observe its construction. Note particularly the pins, which have a diameter of 2.5 mm. To solve this problem, make two measurements on a bicycle (see figure): (1) the length L of the crank arm from main axle to pedal axle and (2) the radius R of the sprocket (the toothed wheel, sometimes called the chainring). (a) Using your measured dimensions, calculate the tensile force T in the chain due to a force F = 800 N applied to one of the pedals. (b) Calculate the average shear stress T averin the pins.Solve the preceding problem for the element shown in the figure.
- A polyethylene tube (length L) has a cap that when installed compresses a spring (with under-formed length L1) by an amount ?? = (L1 = L). Ignore deformations of the cap and base. Use the force at the base of the spring as the redundant. Use numerical properties given in the boxes. (a) What is the resulting Force-in the spring, Fk? (b) What is the resulting Force in the tube, Ftl (c) What is the filial length of the tube, Lf? (d) What temperature change ?T inside the tube will result in zero force in the springA belt drive is used to transmit power from an electric motor to a compressor for a refrigerated truck. The compressor must still operate when the truck is parked and the engine is not running. The 50-hp electric motor is rated at 150+X rpm (where value of X = 50), and the motor sheave diameter is 5+d1 in. (where value of d1 = 5). The compressor sheave has 8+d2 in (where value of d2 = 5) diameter. The center distance of the drive is 15 in. Determine the appropriate industrial V belt size, the length of belt, operating speed of compressor and belt speed.Three springs A, B, and C has spring constants 641 N/mm, 495 N/mm, 541 N/mm respectively. Determine the equivalent spring constant if the springs are in PARALLEL.
- An 8 inches diameter piston is pushed inside the cylinder having an 8.005 inches diameter. The gap is filled with a lubricant (v= 0.003 ft^2/s, SG=0.80). If the piston is moving at 0.5ft/s, find the frictional resistance wherein there is an engagement of 10 ft.In the design in the figure, a force of Fn=45992 N acts in the vertical plane on a machine element with a diameter of D=200 mm on the shaft resting on the A and B bearings. If the angle made by this force with the horizontal is b=40o, find the life of the 6210 coded Deep Ball bearing to be used in the B bearing, in hours. Number of revolutions = 30 rpm. 1-) The diameter of the machine element on which the force acts will be taken into account in the calculation of bearing forces (That is, it will be assumed that the Fn force AFFECTS THE GROUND shown in the figure, NOT the axis of the shaft). 2-) Pi number will be taken as 3.14.A hand cranking lever, as shown in Figure 6 below, is used to start a truck engine byapplying a force F = 400 N. The material of the cranking lever has a yield strength = 320 MPa;Ultimate tensile strength = 500 MPa; Young’s modulus = 205 GPa; Modulus of rigidity = 84 GPaand poisson’s ratio = 0.3. Assuming factor of safety to be 4 based on yield strength, design thediameter of the lever at section X-X near the guide bush using: a) Maximum distortion energytheory; and b) Maximum shear stress theory.