Link AC is made of a steel with a 65-ksi ultimate normal stress and has a
Fig. P1.51
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- The rigid beam BCD is attached by bolts to a control rod at B, to a hydraulic cylinder at C, and to a fixed support at D. The diameters of the bolts used are: dB = dD = 3/8 in., dC =1/2 in. Each bolt acts in double shear and is made from a steel for which the ultimate shearing stress is τU = 40 ksi. The control rod AB has a diameter dA=7/16 in. and is made of a steel for which the ultimate tensile stress is σU = 60 ksi. If the minimum factor of safety is to be 3.0 for the entire unit, determine the largest upward force that may be applied by the hydraulic cylinder at C.arrow_forwardA flexible cable and rigid boom system is used to lift a load of 65kN at the end of Boom at point C. Points A and B are considered pinned in nature. The allowable shearing stress at all bolts are 250MPa and the allowable bearing stress at all bolts are 300MPa. Note that the initial position of boom is horizontal and segment A and B are vertical. Determine the horizontal reaction at A. 3. Determine the vertical reaction at A.arrow_forwardEach of the two vertical links CF connecting the two horizontal members AD and EG has a 10x40-mm uniform rectangular cross section and is made of a steel with an ultimate strength in tension of 400 MPa,while each of the pins at C and F has a 20-mm diameter and is made of a steel with an ultimate strength in shear of 150 MPa. Determine the overall factor of safety for the links CF and the pins connecting them to the horizontal members.arrow_forward
- Axial loads are applied with rigid bearing plates to the solid cylindrical rods shown. The normal stress in aluminum rod (1) must be limited to 19 ksi, the normal stress in brass rod (2) must be limited to 22 ksi, and the normal stress in steel rod (3) must be limited to 13 ksi. Determine the minimum diameter required for each of the three rods. Assume P = 7 kips, Q = 2 kips, R = 16 kips and S = 20 kips.arrow_forwardA flange coupling connects two shafts in order to transmit 250 kW at 100 rpm. It uses 6 bolts with a diameter of 20 mm located at a 210 mm bolt circle diameter. Determine the flange thickness if the bearing stress on the flange is 95 MPa. A. 10 mm B. 20 mm C. 25 mm D. 30 mmarrow_forwardThe axial stresses are 12 MPa C in the wood post B and 150 MPa T in the steel bar A as shown below. Pins at A, C, and D are smooth. Determine (a)The load P.(b)The minimum diameter for pin C if it is in single shear and the cross-shearing stress is limited to 70 MPa.(c)The minimum diameter for pin D if it is in double shear and the cross-shearing stress is limited to 70 MPa.arrow_forward
- From the given bracket shown, which consist of two plates riveted to the column by 4-22mm Ø rivets which is subjected to an eccentric load of 150 kN. 1. Which of the following gives the shearing stress due to axial load only? a. 49.325 MPa b. 70.25 MPa c. 80.47 MPa d. 68.25 MPa 2.. Which of the following gives the shearing stress due to moment alone? a. 69.76 MPa b. 70.94 MPa c. 56.39 MPa d. 64.32 MPa 3. Which of the following gives the maximum shearing stress? a. 110.30 MPa b. 120.40 MPa c. 140.50 MPa d. 105.70 MPaarrow_forwardA compound shaft consists of an aluminum tube (1) securely jointed to a steel tube (2). Both aluminum and steel tubes have an outside diameter of D= 48 mm and a wall thickness of t= 3 mm. The shaft is secured by a fixed support at one end and is subjected to a torque of T= 115 N.m at the other end. Determine the maximum stress in the shaft.[L1 = 200 mm, L2 = 350 mm, D = 48 mm , t = 3 mm, G = 75 GPa]arrow_forwardPlease answer this NEATLY, COMPLETELY, and CORRECTLY for an UPVOTE. A 2 kip/ft distributed load is applied on member AB, which is supported by a pin at A and bar BC. The connections at points A and B are shown in detail. All pins have a diameter of 0.5 in while all members have cross-sectional dimensions of 1.5 x 1 in. Determine the following:a. maximum normal stress in member BC (ksi)b. normal and shear stress in a horizontal section across member BC apart from the pin (ksi)c. shear stress in pins A and B (ksi)d. maximum bearing stress on member AB (ksi)arrow_forward
- A mechanical coupling connects a solid shaft with a diameter of 80 mm and a hollow shaft with external and internal diameters of 100 Y and 85 mm, respectively. The allowable stress for the solid shaft is 55 MPa and for the hollow shaft, 60 MPa. The coupling initially consists of a series of 8 aluminum bolts [( tau aluminum ) adm =40 MPayG aluminum =28 GPa] of 12 mm diameter located in a circumference of 250 mm diameter. Determine a) the radius at which an additional series of steel bolts [( tau steel ) adm =60 MPa and G steel =83 GPa] of 8 mm diameter must be placed to support the maximum allowable torque, b) the number of steel bolts necessary to support the specified torque and c) the power of a motor that can transmit that torque by turning the array at 1.25 rev/sarrow_forwardFor the frame shown, a 4226-N load is acting on member ABD at D. If the allowable material shear stress for is 42 MPa, determine the required diameter (rounded off to the nearest 2.5 mm) of the pins at C and D. Pin C and pin D are subjected to double shear and single shear, respectively. If the thickness of member BC is 12 mm and that of member DE is 16 mm, determine the maximum bearing stress at C.arrow_forwardQ-1 ) A thin cylinder of inner radius 150 mm and thickness 9 mm is subjected to an internal pressure of 9 MPa. The average circumferential (hoop) stress in MPa isa) 150 MPA b ) 125 MPa c) 175 MPa d ) 200 MPa e) none of thesearrow_forward
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