For a bolted assembly with four bolts, the stiffness of each bolt iskb = 3.0 MN/mm and the stiffness at the members is km = 4.2MN/mm per bolt. The bolts are pre-loaded to 75% of the proofstrength.Assume the external load is equally distributed to all the bolts.The bolts are M16x1.5 class 8.8 with rolled threads. A fluctuatingexternal load is applied to the entire joint with Pmax = 160 kN andPmin = 80 kN.Determine the factor of safety against fatigue failure using theGoodman criterion.

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Answered: For a bolted assembly with four bolts,…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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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.
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
1. 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)
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 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.
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.
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?
Condition #1: A structural support for a machine is subjected to a static compression load of 20 kN. The support is manufactured from a circular rod made from SAE 1040 Hot Rolled steel. Specify suitable diameter for the cross section of the rod based on the basic size. Steel data are available in Table A-10 from the textbook. Condition #2: The same structural support of the basic size determined in Condition 1 is subjected to a tensile load of 15 kN that is repeated several thousand times over the life of the machine. This load is not an addition to the 20 kN. Specify a suitable steel that is suitable to this application based on the basic size determined in Condition #1. Loading of Condition #1 does not apply here. Condition #3: The same structural support from Condition 2 is heated from room temperature of 25°C. The support is placed inside a frame on both ends. There is a total clearance of 0.2 mm between the support and its frame. Initial length of the rod is 200 mm. Specify the…
! 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 is
Design of a bolted assembly using a single M16x2 class 8.8 coarse-thread bolt has resulted in a joint where bolt stiffness is k, = 6 N/mm and the overall member stiffness - 18 N/mm. The fastener is to be reused (nonpermanent). Question 1 Value of joint stiffness constant: 0.25 4.0 0.5 0.1 Question 2 Magnitude of bolt tightening load (preload) Fi [kv]: 85 71 94 63
M P 1: Y A :s.google.com Q1 * Find the number of bolts M8 1 which made from SAE Grade 4 steel that should be used to provide a clamping force of 60 KN between two components of a machine. Also, specify the required tightening torque. (Hint: assume that cach bolt is limited to be stressed to 65% of its proof strength). 1 Add file Q2 * A flat plate with a central hole is subjected to an axial tensile force F of 9.8 KN, as shown in the figure below. Calculate the minimum thickness t of the plate. Given that the material of the plate can support maximum tensile stress of 75 N.mm, w = 10 cm and d = 3 cm. Thickness =t F 1 Add file Submit Clear form II
An M30 × 3.5 ISO grade 8.8 bolt is used in a joint at a preload levelrecommended for reused connections, and the joint is subject to a repeated tensilefatigue load of P = 65 kN per bolt. The joint constant is C = 0.25.a) Determine the static load factors; b) The factor of safety guarding against a fatigue failure based on the Goodmanfatigue criterion

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