Explanation Write the expression for pre load. F i = 0.75 ( A t ) ( S p ) (I) Here, the pre load is F i , tensile stress area is A t and proof stress is S p . Write the expression for pre stress. σ i = 0.75 ( S p ) (II) Here, the pre stress is σ i . Write the expression for alternating stress. σ a = C P 2 A t (III) Here, the alternating stress is σ a , fraction of external load carried by bolt is C and external tensile load per bolt is P . Write the expression for load factor due to fatigue. n f = ( 1 2 σ a S e ) [ S u t S u t 2 + 4 S e ( S e + σ i ) − S u t 2 − 2 σ i S e ] (IV) Here, the load factor due to fatigue is n f , the endurance strength is S e and minimum tensile strength is S u t . Write the expression for load factor due to yielding. n p = S p A t ( C P + F i ) (V) Here, the load factor due to yielding is n p . Write expression for load factor due to proof strength. n L = ( S p A t − F i ) C P (VI) Here, the load factor due to proof strength is n L . Write the expression for load factor due to separation of joint. n 0 = F i P ( 1 − C ) (VII) Here, the load factor due to separation of joint is n 0 . Conclusion: Refer to Table 8-1 “Diameter and area of Coarse-pitch and fine pitch metric thread” to obtain tensile stress area ( A t ) as 561 mm 2 corresponding to M 30 × 3.5 . Refer to Table 8-11 “SAE specification for steel bolts” to obtain minimum tensile stress ( S u t ) as 830 MPa and minimum proof stress strength ( S p ) as 600 MPa corresponding to ISO 8.8. Refer to Table 8-17 “Fully corrected endurance strength for bolts and screws with rolled thread” to obtain endurance strength ( S e ) as 129 MPa corresponding to ISO 8.8. Substitute 561 mm 2 for A t and 600 MPa for S p in Equation (I). F i = 0.75 ( 561 mm 2 ) ( 600 MPa ) = ( 420.75 mm 2 ) ( 600 MPa ) ( 1 kN / mm 2 10 3 MPa ) = 252.45 kN Substitute 600 MPa for S p in Equation (II). σ i = 0.75 ( 600 MPa ) = 450 MPa Substitute 0.28 for C , 65 kN for P and 561 mm 2 for A t in Equation (III). σ a = ( 0.28 ) ( 65 kN ) 2 ( 561 mm 2 ) = 0.016221 kN / mm 2 ( 10 3 MPa 1 kN / mm 2 ) = 16

Shigley's Mechanical Engineering Design (McGraw-Hill Series in Mechanical Engineering)

10th Edition

ISBN: 9780073398204

Author: Richard G Budynas, Keith J Nisbett

Publisher: McGraw-Hill Education

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Chapter 8, Problem 63P

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The static load factors.

The factor of safety due to fatigue failure.

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Chapter 8, Problem 62P

Chapter 8, Problem 64P

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Given answers to be: i) 14.65 kN; 6.16 kN; 8.46 kN ii) 8.63 kN; 9.88 kN iii) Bearing 6315 for B1 & B2, or Bearing 6215 for B1

(b) A steel 'hot rolled structural hollow section' column of length 5.75 m, has the cross-section shown in Figure Q.5(b) and supports a load of 750 kN. During service, it is subjected to axial compression loading where one end of the column is effectively restrained in position and direction (fixed) and the other is effectively held in position but not in direction (pinned). i) Given that the steel has a design strength of 275 MN/m², determine the load factor for the structural member based upon the BS5950 design approach using Datasheet Q.5(b). [11] ii) Determine the axial load that can be supported by the column using the Rankine-Gordon formula, given that the yield strength of the material is 280 MN/m² and the constant *a* is 1/30000. [6] 300 600 2-300 mm wide x 5 mm thick plates. Figure Q.5(b) L=5.75m Pinned Fixed

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Chapter 8 Solutions

Shigley's Mechanical Engineering Design (McGraw-Hill Series in Mechanical Engineering)

Ch. 8 - A power screw is 25 mm in diameter and has a...Ch. 8 - Using the information in the footnote of Table...Ch. 8 - Show that for zero collar friction the efficiency...Ch. 8 - A single-threaded power screw is 25 mm in diameter...Ch. 8 - The machine shown in the figure can be used for a...Ch. 8 - The press shown for Prob. 8-5 has a rated load of...Ch. 8 - For the screw clamp shown, a force is applied at...Ch. 8 - The C clamp shown in the figure for Prob. 8-7 uses...Ch. 8 - Find the power required to drive a 1.5-in power...Ch. 8 - A single square-thread power screw has an input...

Ch. 8 - Prob. 11P Ch. 8 - An M14 2 hex-head bolt with a nut is used to...Ch. 8 - Prob. 13P Ch. 8 - A 2-in steel plate and a 1-in cast-iron plate are...Ch. 8 - Repeat Prob. 8-14 with the addition of one 12 N...Ch. 8 - A 2-in steel plate and a 1-in cast-iron plate are...Ch. 8 - Two identical aluminum plates are each 2 in thick,...Ch. 8 - Prob. 18P Ch. 8 - A 30-mm thick AISI 1020 steel plate is sandwiched...Ch. 8 - Prob. 20P Ch. 8 - Prob. 21P Ch. 8 - Prob. 22P Ch. 8 - A 2-in steel plate and a 1-in cast-iron plate are...Ch. 8 - An aluminum bracket with a 12-in thick flange is...Ch. 8 - An M14 2 hex-head bolt with a nut is used to...Ch. 8 - A 34 in-16 UNF series SAE grade 5 bolt has a 34-in...Ch. 8 - From your experience with Prob. 8-26, generalize...Ch. 8 - Prob. 28P Ch. 8 - Prob. 29P Ch. 8 - Prob. 30P Ch. 8 - For a bolted assembly with eight bolts, the...Ch. 8 - Prob. 32P Ch. 8 - 8-33 to 8-36 The figure illustrates the...Ch. 8 - 8-33 to 8-36 The figure illustrates the...Ch. 8 - 8-33 to 8-36 The figure illustrates the...Ch. 8 - 8-33 to 8-36 The figure illustrates the...Ch. 8 - Prob. 37P Ch. 8 - Prob. 38P Ch. 8 - 837 to 840 Repeat the requirements for the problem...Ch. 8 - Prob. 40P Ch. 8 - 841 to 844 For the pressure vessel defined in the...Ch. 8 - Prob. 42P Ch. 8 - Prob. 43P Ch. 8 - Prob. 44P Ch. 8 - Bolts distributed about a bolt circle are often...Ch. 8 - The figure shows a cast-iron bearing block that is...Ch. 8 - Prob. 47P Ch. 8 - Prob. 48P Ch. 8 - Prob. 49P Ch. 8 - Prob. 50P Ch. 8 - 851 to 854 For the pressure cylinder defined in...Ch. 8 - Prob. 52P Ch. 8 - 851 to 854 For the pressure cylinder defined in...Ch. 8 - 851 to 854 For the pressure cylinder defined in...Ch. 8 - 855 to 858 For the pressure cylinder defined in...Ch. 8 - 855 to 858 For the pressure cylinder defined in...Ch. 8 - 855 to 858 For the pressure cylinder defined in...Ch. 8 - For the pressure cylinder defined in the problem...Ch. 8 - A 1-in-diameter hot-rolled AISI 1144 steel rod is...Ch. 8 - The section of the sealed joint shown in the...Ch. 8 - Prob. 61P Ch. 8 - Prob. 62P Ch. 8 - Prob. 63P Ch. 8 - Prob. 64P Ch. 8 - Using the Goodman fatigue criterion, repeat Prob....Ch. 8 - The figure shows a bolted lap joint that uses SAE...Ch. 8 - Prob. 67P Ch. 8 - A bolted lap joint using ISO class 5.8 bolts and...Ch. 8 - Prob. 69P Ch. 8 - The figure shows a connection that employs three...Ch. 8 - A beam is made up by bolting together two cold...Ch. 8 - Prob. 72P Ch. 8 - Prob. 73P Ch. 8 - Prob. 74P Ch. 8 - A vertical channel 152 76 (see Table A7) has a...Ch. 8 - The cantilever bracket is bolted to a column with...Ch. 8 - Prob. 77P Ch. 8 - The figure shows a welded fitting which has been...Ch. 8 - Prob. 79P Ch. 8 - Prob. 80P Ch. 8 - Prob. 81P

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The static load factors. The factor of safety due to fatigue failure.

Solution Summary: The author explains the static load factors, the factor of safety due to fatigue failure, and the expression for pre load.