For a bolted assembly with six bolts, the stiffness of each bolt is kb = 2.8 Mlbf/in and the stiffness of the members is km= 14 Mlbf/in per bolt. An external load of 80 kips is applied to the entire joint. Assume the load is equally distributed to all the bolts. It has been determined to use 1/2 in-13 UNC grade 8 bolts with rolled threads. Assume the bolts are preloaded to 75 percent of the proof load. Determine the yielding factor of safety. The yielding factor of safety is
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- For a bolted assembly with 8 bolts, the stiffness of each bolt is k_b = 1.1 N/mm and the stiffness of the members is k_m = 2.8 N/mm at each bolt location. The joint is subject to occasional disassembly for maintenance and should be preloaded accordingly (to 75% of the proof stress). Assume the external load is equally distributed to all the bolts. It has been determined to use M6 × 1 class 5.8 bolts with rolled threads. Determine the maximum safe working load that both limits the stress in the bolts to be below the proof stress and ensures that the members do not come out of compression. Express your answer in units of kilonewtons.! Required information For a bolted assembly with N = 6 bolts, the stiffness of each bolt is kb=1 Mlbf/in and the stiffness of the members is km = 20 Mlbf/in per bolt. A repeated external load of W= 72 kips is applied to the entire joint. Assume the load is equally distributed to all the bolts. It has been determined to use 1/2 in-13 UNC grade 8 bolts with rolled threads. Assume the bolts are preloaded to 75 percent of the proof load and the external load is a repeated load. Number of Bolts, N Bolt Grade, G Bolt Diameter, d 6 SAE 8 1/2 in Determine the fatigue factor of safety for the bolts using the Goodman failure criterion. The fatigue factor of safety for the bolts using the Goodman failure criterion is1. For a bolted assembly with six bolts, the stiffness of each bolt is k, = 3 Mlbf/in and the stiffness of the members is km = 12 Mlbf/in per bolt. An external load of 80 kips is applied to the entire joint. Assume the load is equally distributed to all the bolts. It has been determined to use 1/2 in-13 UNC grade 8 bolts with rolled threads. Assume a torque co-efficient of K = 0.2. a. Determine the maximum bolt preload that can be applied without exceeding the proof strength of the bolts. b. Determine the minimum bolt preload that can be applied while avoiding joint separation. c. Determine the value of torque in units of Ibf-ft that should be specified for preloading the bolts if it is desired to preload to 75% of the proof load. d. Determine the yielding factor of safety for part c). (based on proof strength)
- Required information For a bolted assembly with eight bolts, the stiffness of each bolt is kb = 0.8 MN/mm and the stiffness of the members is km = 2.6 MN/mm per bolt. The joint is subject to occasional disassembly for maintenance and should be preloaded accordingly. Assume the external load is equally distributed to all the bolts. It has been determined to use M6 x 1 class 5.8 bolts with rolled threads. NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. Determine the maximum external load Pmax that can be applied to the entire joint without causing the members to come out of compression. The maximum external load for this case is 0.15625 N.For a bolted assembly with four bolts, the stiffness of each bolt is kb = 3.0 MN/mm and the stiffness at the members is km = 4.2 MN/mm per bolt. The bolts are pre-loaded to 75% of the proof strength. Assume the external load is equally distributed to all the bolts. The bolts are M16x1.5 class 8.8 with rolled threads. A fluctuating external load is applied to the entire joint with Pmax = 160 kN and Pmin = 80 kN. Determine the factor of safety against fatigue failure using the Goodman criterion.Problem 3: A Hexagonal bolt connects two members. The joint has a gap 1 = 2 in and the applied load is 2000 lb. Both of the clamped parts are steel. A preload of 90% the bolt's proof strength will be applied first. For this design, an SAE grade 1, 5/16"-18 UNC-2A bolt is chosen made from A307 with rolled threads. Washers are included between the head and the joint, and between the nut and the joint. Determine a suitable length for the bolt? Find its safety factor against yielding and against joint separation. Are these values acceptable?
- Required information For a bolted assembly with six bolts, the stiffness of each bolt is kb 2 Mibf/in and the stiffness of the members is km = 13 Mlbf/in per bolt. An external load of 80 kips is applied to the entire joint. Assume the load is equally distributed to all the bolts. It has been determined to use 1/2 in-13 UNC grade 8 bolts with rolled threads. It is desired to find the range of torque that a mechanic could apply to initially preload the bolts without expecting failure once the joint is loaded. Assume a torque coefficient of K = 0.2. NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. Determine the maximum bolt preload that can be applied without exceeding the proof strength of the bolts once the load is applied. The maximum bolt preload that can be applied is Ibf.Two 1/4 in × 8 in A36 steel plates are joined with a lap joint using 3/4 in A325-N bolts. If a concentric unfactored live load of 50 kips (dead load = 0) is required to be resisted by the connection and the bolt shear strength controls the design, the minimum required number of bolts is?3. An M16 x 2 bolt with a slotted hex nut is used to clamp together two 25 mm steel plates. The joint is assembled with a size 16 N washer underneath the bolt head. The bolt is a 5.8 class metric grade, with a proof strength of 380 MPa. The joint is intended to be permanent. Determine a suitable length for the bolt, rounded up to the nearest standard size in millimeters. Calculate the bolt stiffness, the elongation of the bolt after the necessary preload is developed, and the bolt torque required to apply the preload. Assume that coefficients of friction between the bolt, nut, and collar are all ~0.15. For steel, use E = 207 GPa. Standard threaded fastener lengths, dimensions of hexagonal nuts, and dimensions of metric plain washers are provided in the textbook appendices.
- A bolted joint is to have a grip consisting of two 14-mm steel plates and one 14R metric plain washer to fit under the head of the M14 x 2 hex-head bolt, 50 mm long. (Hint: Look up table A-31 and A-33 in the textbook of Shigley's Mechanical Engineering Design, 8th Edition) (a) What is the length of the thread LT for this diameter metric coarse-pitch series bolt? (b) What is the length of the grip l? (c) What is the height H of the nut? (d) Is the bolt long enough? If not, round to the next larger preferred length. (e) What is the length of the shank and the threaded portions of the bolt within the grip?For a bolted assembly, the stiffness of each bolt is ka = 700 MN/m and the stiffness of the members is km = 2100 MN/m per bolt. The joint is subject to occasional disassembly for maintenance and should be preloaded accordingly. An external load is applied to the entire joint with P = 360 kN. Assume the load is equally distributed to all the bolts. It has been determined to use M12x1.75 grade 8.8 bolts with rolled threads. (a) Determine the minimum number of bolts necessary to avoid yielding of the bolts. (b) Determine the minimum number of bolts necessary to avoid joint separation.zLm An M8x1 bolt joins to members of 40 mm total thickness. The bolt and members are made of the same material (₂ = 300 MPa, E = 120 GPa), Fi=3KN, Pw=4KN. Check join failure.