Elements Of Electromagnetics
7th Edition
ISBN: 9780190698614
Author: Sadiku, Matthew N. O.
Publisher: Oxford University Press
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- Qestion-1: A 9/16 in UNF bolt is subjected to a load P = 60 kip in a tension joint as shown in Figure. The bolt is SAE grade 5 and lubricated. The initial bolt tension (F) = 35 kip. The bolt and joint stiffnesses are k, = 6.5 and km 10.8 Mlbf/in Note: Use the related tables, formulas and concepts to answer following question (a) Formulate to determine the preload and service load stresses in the bolt. (b) Solve to find the torque necessary to develop the preload. (c) Identify if the bolt will fail or no under preload and service load stresses (Calculated in part a) by comparing with the SAE minimum proof strength of the bolt. (d) Can you identify; with given input data, tables and formulas that bolt is self-locking? Table 8-9 SAE Specifications for Steel Bolts Size SAE Range Grade Inclusive, No. in +14 1 2 4 5 5.2 7 8 TI I LI I I I +-14 8.2 -1 Minimum Proof Strength," kpsi 33 55 33 65 85 74 85 105 120 120 Table 8-2 Diameters and Area of Unified Screw Threads Size Designation 0 1 2 3 4…arrow_forwardRequired information A solid square rod is cantilevered at one end. The rod is 0.6 m long and supports a completely reversing transverse load at the other end of ±1.7 kN. The material is AISI 1080 hot-rolled steel. If the rod must support this load for 5 x 104 cycles with a design factor of 1.5, what dimension should the square cross section have? Neglect any stress concentrations at the support end. Determine the endurance limit for this application. Assume that the size modification factor kis 0.85 until a size for the section is known. The endurance limit is 278.4 MPa.arrow_forwardFor the frame shown in Fig. 6-24a, draw the free-body diagrams of (a) the entire frame including the pulleys and cords, (b) the frame without the pulleys and cords, and (c) each of the pulleys. 3E Fx=0 +9 E fy=o 1. FIMD RXAS AT A$D Fing FoRLE componeAB 2. Ge Pits oF POLLEYS EM=0 Cx C By E Ay T. Ay AauLE OF RESOUTAT AT B, C &A 75 lb SKETCH RESULTALT (a) Fueo Manat AT BASE ア(y 7516 OF CULUneCE radius of the pulley at B linch Yadius of the Pulley at c a7s inch 75 lbs 7516 () Distance BE 7inch Distance EA 4.5 inch Distance AV : 3.sinch Ay 6) 7516 マへarrow_forward
- (15) A 3/8 - x 2-in AISI 1018 cold-drawn steel bar is cantilevered to support a static load of 300 lbf as illustrated. The bar is secured to the support using two 1/2 in-13 UNC SAE 5 bolts. Find the factor of safety for the following modes of failure: shear of bolt, bearing on bolt, bearing on member, and strength of member. (Ans/ 5.79, 9.58, 5.63, 295) in 3 in l in 14 in 300 Ibfarrow_forwardThe bracket shown in the figure is bolted a ceiling beam to support a fluctuating vertical load imposed on it. The bolts are -in coarse-thread SAE grade 8, tightened to recommended preload for nonpermanent assembly. The stiffnesses have already been computed and are kp=4 Mlb/in and km = 16 Mlb/in. Laad line F. Steady stress (a) Assuming that the bolts, rather than the welds, govern the strength of this design, determine the safe repeated load that can be imposed on this assembly using the Goodman criterion with the load line in the Figure and a fatigue design factor of 2. (b) Compute the static load factors based on the load found in part (a). (ie. Yielding factor of safety, Load factor of safety and factor against joint separation)arrow_forwardRequired information The bolted connection shown in the figure is subjected to a tensile shear load of 90 kN. The bolts are ISO class 5.8, and the material is cold-drawn AISI 1015 steel. Assume the bolt threads do not extend into the joint. Find the factor of safety of the connection for all possible modes of failure. Give the overall joint factor of safety. Given: t = 15 mm and t2 = 25 mm. NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. 35 60 60 - 35 t1 M20 x 2.5 35 35 + t2 Find the overall joint factor of safety. The overall joint factor of safety noverall isarrow_forward
- Calculate external support reactions, forces of internal joints and draw FBD of assemblyarrow_forwardRequired 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.arrow_forwardRequired information A solid square rod is cantilevered at one end. The rod is 0.6 m long and supports a completely reversing transverse load at the other end of ±1.7 kN. The material is AISI 1080 hot-rolled steel. If the rod must support this load for 5 x 104 cycles with a design factor of 1.5, what dimension should the square cross section have? Neglect any stress concentrations at the support end. What will the strength of the metal be at 5 x 104 cycles? The strength of the metal at 5 x 104 will be MPa.arrow_forward
- The figure illustrates the connection of a steel cylinder head to a grade 30 cast-iron pressure vessel using N bolts. A confined gasket seal has an effective sealing diameter D. The cylinder stores gas at a maximum pressure pg. For the specifications given in the table for the specific problem assigned, select a suitable bolt length from the preferred sizes in Table A–17, then determine the yielding factor of safety np, the load factor nL, and the joint separation factor n0. See problem number 8-36, and please use the FEA exponential curve-fit for member stiffness.arrow_forwardThe cantilever bracket Is bolted to a column with three M12 x 1.75 ISO 5.8 bolts. The bracket Is made from AISI 1020 hot- rolled steel. Assume the bolt threads do not extend into the Joint. Find the factors of safety for the following fallure modes: shear of bolts, bearing of bolts, bearing of bracket, and bending of the bracket. GIVE the overall jolnt factor of safety. Given: F= 2 KN. NOTE: This is a multi-part questlon. Once an answer Is submitted, you will be unable to return to this part. Holes for M12 x 1.75 bolts 8 mm thick 36 32 36 - 200- Column Find the factor of safety with respect to the shear stress In the bolts. The factor of safety with respect to the shear stress In the bolts ng Is 4.4arrow_forward8-75 A vertical channel 152 X 76 (see Table A–7) has a cantilever beam bolted to it as shown. The channel is hot-rolled AISI 1006 steel. The bar is of hot-rolled AISI 1015 steel. The shoulder bolts are M10 × 1.5 ISO 5.8. Assume the bolt threads do not extend into the joint. For a design factor of 2.0, find the safe force F that can be applied to the cantilever. 8T-8 12 Problem 8-75 in millimeters. 50 -50→-50→261! 125 000arrow_forward
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