A load of F of 3 kN is applied to the pulley shown in the figure. Plate 1 is attached to two plates by four rivets, which are made of the same material. Dimensions are given in the figure. Find the factor of safety for the riveted joint. Rivet mechanical properties are: Sy-220 MPa Ssy-110 MPa. XD 12 MAY PLATE 2 PLATE 2 80 mm PLATE 1 E L2= 140 L3= 260 m L1= 110 mm F ALL
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- Consider the sleeve made From two copper tubes joined by tin-lead solder over distance s. The sleeve has brass caps at both ends that are held in place by a steel bolt and washer with the nut turned just snug at the outset. Then, two "loadings" are applied: a = 1/2 turn applied to the nut; at the same time, the internal temperature is raised by ?T = 30°C. (a) Find the forces in the sleeve and boll, Psand PB, due to both the priestess in the bolt and the temperature increase. For copper, use EI= 120 GPa and ac= 17 × W+C; for steel, use E, = 200 GPa and a, = 12 × 10-6/°C. The pitch of the boll threads is p = 1.0 mm. Assume s = 26 mm and bolt diameter dB= 5 mm. (b) Find the required length of the solder joint, s, if shear stress in the sweated joint cannot exceed the allowable shear stress t ™ 18.5 MPa. (c) What is the final elongation of the entire assemblage due to both temperature change A T and the initial prestress in the bolt?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.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
- Two 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.1-Two rivets holds three sheets of steel together, and is loaded as shown below. If the maximum average shear stress allowed for the material is 250 MPa, and factor of safety 4 is required by the design standards, find the minimum rivets diameter. 20 kN 10 kN 10 kNThe lap joint carries an P axial load of P - 50 kN. It is connected by 3-18 mm 150 mm 20 mm 20 mm dia. rivets. 38. What is the bearing stress between a plate and a rivet? 39. What is the shear stress in rivet? 40. What is the maximum average tensile stress in each plate?
- A 5⁄8-inch-thick tension member is connected to two 1⁄4-inch splice plates, as shown in Figure The loads shown are service loads. A36 steel and 5⁄8-inchdiameter, Group A bolts will be used. If slip is permissible, how many bolts are required? Each bolt centerline shown represents a row of bolts in the direction of the width of the plates.The figures below show a formed sheet-steel bracket. The total distributed load “W” on the bracket is 20 kN. It is secured to the support with two grade 5.8 bolts. The joint constant is C=0.183, and the bolts are preloaded to 70 percent of the proof load. The dimensions of the top flange are the same as the mounting flange.a) Find the external loads (P1 and P2) carried by upper and bottom bolts respectively if both resist the moment?b) Find the upper bolt diameter by ignoring direct shear load and determine/select a standard metric bolt size with a pitch for a design factor of 1,4.c) Is there any need to enlarge 5 mm dia. holes in the bracket?The figure below shows two plates connected by two rivets. The plates are made from aluminum 6061-T6 and the rivets are made from aluminum 2014-T4. Evaluate the maximum allowable force on the connection to meet the following design criteria: (a) The shear stress in a rivet cannot exceed 14 of the ultimate strength in shear. (b) The tensile stress in the plates cannot exceed 13 of the yield strength. (c) The bearing stress on either the plates or the rivets cannot exceed the design bearing stress 9 mm 75 mm 38 mm 38 mm 12 mm dia. 9 mm
- s): The butt connection shown below is fastened by 20-mm diameter bolts. Find the maximum allowable load (P) that can be applied if the bearing stress, tensile stress and shearing stress is limited to 160 MPa, 80 MPa and 50 MPa, respectively. Use safety factor 1.5. P4- P4- 16 mm 50 100 50 50 100 50 40 80 40 12 mm PA horizontal plate using four rivets arranged as shown in figure. Determine the magnitude of the load?For the joint shown in the figure, if F = 28 kN and dn = 12.8 mm, calculate: 7.5 mm F F 12 mm 12 mm 7.5 mm - de - F 18 mm - F 18 mm 125 mm 1. The largest bearing stress in MPa between the pins and the members; a. 146.23 MPa b. 182.29 MPa c. 174.56 MPa d. 199.37 MPa 2. The average shear stress in MPa in the pin and; a. 108.80 MPa b. 116.14 MPa c. 136.23 MPa d. 98.01 MPa 3. The largest average normal stress in MPa in the members. a. 181.23 MPa b. 175.76 MPa c. 191.26 MPa d. 150.32 MPa