Solve the following problems completely. Include the FBD with proper labels. 1. The truss is supported by a hinge at A and a roller at D as shown. Find the reactions in the supports. 20 kips C 3 ft D 10 kips 3 ft 3 ft 2. The truss is supported by a roller at A and a hinge at D as shown. Find the 10 KN 1.5 m 25°f 2 m 2 m 20 KN
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- Three round, copper alloy bars having the same length L but different shapes are shown, in the figure. The first bar has a diameter d over its entire length, the second has a diameter d over one-fifth of its length, and the third has a diameter d over one-fifteenth of its length. Elsewhere, the second and third bars have a diameter Id. All three bars are subjected to the same axial load P. Use the following numerical data: P = 1400 kN, L = 5m,d= 80 mm, E= 110 GPa. and v = 0.33. (a) Find the change in length of each bar. (b) Find the change in volume of each bar.Repeat Problem 11.2-14 using L = 12 ft, ß = 0.25 kips/in., ßRl= 1.5ßL2, and ßR2= 2 ßR1.Solve the preceding problem if the internal pressure is 3,85 MPa, the diameter is 20 m, the yield stress is 590 MPa, and the factor of safety is 3.0. (a) Determine the required thickness to the nearest millimeter. (b) If the tank wall thickness is 85 mm, what is the maximum permissible internal pressure?
- 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 wiresA ladder with a uniform cross-section has a length of 4.80-foot long. It weighs W Ib. It is arranged such that one end is on the ground and the other against a vertical wall. The angle of triction at all contact surtaces is 20 degrees. What is the value of the coefficient of triction? What is f, in terms of variable Na? What is the normal force at A in terms of variable W? Answer in three decimal placesTwo plates each with thickness of 18 mm are bolted together with 6 – 20mm ø bolts forming a lap connection. Bolt spacing are as follows: X1 = 50 mm, X2 = 120 mm and X3 = 100 mm FvRivet = 130 MPa. Calculate the the pemissible tensile load P under the following conditions. a. Based on the effective net area. b. Based on block shear. c. Based on the safe value of P.
- 9-8kN stress/force on the AB rope holding the base station shown below There are. In order for the net force at point A of this base station to be downward What is the stress/force that should be on the AC rope? A) 5556 N C) 7356 N B) 8200 N D) 3648 N E) 1228 NThe figureshows a copper rod that is placed in an aluminum tube. The rod is 0.005 in. longer than the tube of length L = 10.3 in. Find the maximum safe load P (in lb with four decimal places) that can be applied to the bearing plate, using the following data: area of copper = 2.98 sq, in. area of aluminum = 3.17 sq, in. E of copper = 17066931 ksi E of aluminum = 10016839 ksi allowable stress for copper = 19002 ksi allowable stress for aluminum = 10966 ksiA prestressed hollow box cross section is shown in the figure. The area of prestressed reinforcement in the tension zone is 1148 mm2. Use grade 270 for seven wire-strand tendons. fpy = specified yield strength of tendons fpu = specified tensile strength o pre stressing tendons fse = effective prestress after losses fse = 1022 MPa Aps = 1148 mm2 fpy = 0.95fpu fc’ = 34.5 MPa fpu = 1860 MPa a. Compute the Yp factor. b. Compute the stress in prestressed reinforcement at nominal strength. c. Compute for the design moment capacity. d. Compute the effective pre stressing force after losses of stress e. Compute the depth of the compression block. f. Compute the pre stressing steel ratio.
- The following figure shows the critical position of a crane that supports 2.5 Tons of load by means of a chain. You are delegated the responsibility of building a crane with similar geometric characteristics and load capacity. The diagram of free body of the crane arm can be redrawn as follows. (check the attached image "fbd") Assuming that the crane arm will be made of steel with yield stress sigmaY =220 MPa and that you must consider a safety factor of F.S.=1.5, propose a profile from the following catalog for the manufacture of the crane arm. Ignore the effects of shear forces on this element. On the other hand, it is very important that you consider the effects of axial loads. Commercial profiles for arm construction. (Check image "profiles")A part of the structure for a facory automation system is a beam that spans 30.0 inches as shown below. Loads that are applied at two points each 8.0inches from a support. The left load F1=1800 lb remains constantly applied while the right load F2=1800 lb is applied and removed frequently as the machine cycles. Find the following: Maximum stress Minimum stress Mean stress Alternating stress Stress ratio Solve the missing parameters in complete solution put necessary diagrams if needed. ThanksCompute the safe wall thickness of a 76.2 cm diameter steel tank. The tank is subjected to 7.33 Mpa pressure and the steel material has yield stress of 215.4 Mpa. The factor of safety to use is 3 A. 1 ½ inches B. 3.89 cm C. 4.09 cm D. 3.59 cm Please Solve And include the units. Thanks!