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
expand_more
expand_more
format_list_bulleted
Videos
Textbook Question
Chapter 10, Problem 14P
10-9 to 10-19 Listed in the tables are six springs described in customary units and five springs described in SI units. Investigate these squared-and-ground-ended helical compression springs to see if they are solid-safe. If not, what is the largest free length to which they can be wound using ns = 1.2?
| Problem Number |
d, in | OD, in | L0, in | Nt | Material |
| 10-9 | 0.007 | 0.038 | 0.58 | 38 | A228 music wire |
| 10-10 | 0.014 | 0.128 | 0.50 | 16 | B159 phosphor-bronze |
| 10-11 | 0.050 | 0.250 | 0.68 | 11.2 | A313 stainless-steel |
| 10-12 | 0.148 | 2.12 | 2.5 | 5.75 | A227 hard-drawn steel |
| 10-13 | 0.138 | 0.92 | 2.86 | 12 | A229 OQ&T steel |
| 10-14 | 0.185 | 2.75 | 7.5 | 8 | A232 chrome-vanadium |
| d, mm | OD, mm | L0, mm | Nt | Material | |
| 10-15 | 0.25 | 0.95 | 12.1 | 38 | A313 stainless steel |
| 10-16 | 1.2 | 6.5 | 15.7 | 10.2 | A228 music wire |
| 10-17 | 3.5 | 50.6 | 75.5 | 5.5 | A229 OQ&T spring steel |
| 10-18 | 3.8 | 31.4 | 71.4 | 12.8 | B159 phosphor-bronze |
| 10-19 | 4.5 | 69.2 | 215.6 | 8.2 | A232 chrome-vanadium |
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
The free end of a torsional spring deflects through 90° when subjected to a torque of 4 N-m. The spring index
is 6. Determine the coil wire diameter and number of turns with the following data :
Modulus of rigidity 80 GPa ; Modulus of elasticity = 200 GPa; Allowable stress = 500 MPa.
A coupling GY8 is fixed on a shaft by a type C flat key, as shown in the figure. And the
dimensions are also shown in the figure. The torque working on the shaft is 900N-m. [op]=100MPa.
Please choose the dimension of the key and check its strength. op
27
= ×10³
kld
1.
Note: Standard dimension series of flat key
Diameter of shaft d
>44-50
Width of key bx Height of key h
14x9
Length of key
>75-85 >85-95
22x14
25×14
>50-58
>58-65
>65-75
16x10
18x11
20×12
6, 8, ..., 80, 90, 100, 125, 140, 160, 180, 200...
Shaft
140
Coupling
70
Example 8-4
in SI Units.
• Q-2 Figure gives the cross section of a
grade 25 cast-iron pressure vessel. A
total of N bolts are to be used to resist a M16 x 2 x 60 mm class 5.8
separating force of 36 kip (160.2 kN).
• (a) Determine k,, Kmy and C.
• (b) Find the number of bolts required for
a load factor of 2 where the bolts may be
reused when the joint is taken apart.
hexagonal head bolt
No: 25 CI
20 mm
20 mm
• (c) With the number of bolts obtained in
part (b), determine the realized load
factor for overload, the yielding factor of
safety, and the load factor for joint
separation.
H = 14.8 mm
Chapter 10 Solutions
Shigley's Mechanical Engineering Design (McGraw-Hill Series in Mechanical Engineering)
Ch. 10 - Within the range of recommended values of the...Ch. 10 - It is instructive to examine the question of the...Ch. 10 - A helical compression spring is wound using...Ch. 10 - The spring in Prob. 10-3 is to be used with a...Ch. 10 - A helical compression spring is made with...Ch. 10 - A helical compression spring is to be made of...Ch. 10 - A helical compression spring is made of hard-drawn...Ch. 10 - The spring of Prob. 107 is to be used with a...Ch. 10 - 109 to 1019 Listed in the tables are six springs...Ch. 10 - 109 to 1019 Listed in the tables are six springs...
Ch. 10 - 10-9 to 10-19 Listed in the tables are six springs...Ch. 10 - Prob. 12PCh. 10 - 10-9 to 10-19 Listed in the tables are six springs...Ch. 10 - 10-9 to 10-19 Listed in the tables are six springs...Ch. 10 - 10-9 to 10-19 Listed in the tables are six springs...Ch. 10 - 10-9 to 10-19 Listed in the tables are six springs...Ch. 10 - Prob. 17PCh. 10 - 10-9 to 10-19 Listed in the tables are six springs...Ch. 10 - 10-9 to 10-19 Listed in the tables are six springs...Ch. 10 - Consider the steel spring in the illustration. (a)...Ch. 10 - A static service music wire helical compression...Ch. 10 - Solve Prob. 1021 by iterating with an initial...Ch. 10 - A holding fixture for a workpiece 37.5 mm thick at...Ch. 10 - Solve Prob. 10-23 by iterating with an initial...Ch. 10 - A compression spring is needed to fit over a...Ch. 10 - A compression spring is needed to fit within a...Ch. 10 - A helical compression spring is to be cycled...Ch. 10 - The figure shows a conical compression helical...Ch. 10 - A helical coil compression spring is needed for...Ch. 10 - Solve Prob. 10-30 using the Goodman-Zimmerli...Ch. 10 - Solve Prob. 10-30 using the Sines-Zimmerli...Ch. 10 - Design the spring of Ex. 10-5 using the...Ch. 10 - Solve Prob. 10-33 using the Goodman-Zimmerli...Ch. 10 - A hard-drawn spring steel extension spring is to...Ch. 10 - The extension spring shown in the figure has...Ch. 10 - Design an infinite-life helical coil extension...Ch. 10 - Prove Eq. (10-40). Hint: Using Castigliunos...Ch. 10 - The figure shows a finger exerciser used by...Ch. 10 - The rat trap shown in the figure uses two...Ch. 10 - Prob. 41PCh. 10 - Prob. 42PCh. 10 - Figure 10-13b shows a spring of constant thickness...
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.Similar questions
- 10-6 A helical compression spring is to be made of oil-tempered wire of 4-mm diameter with a spring index of C = 10. The spring is to operate inside a hole, so buckling is not a problem and the ends can be left plain. The free length of the spring should be 80 mm. A force of 50 N should deflect the spring 15 mm. (a) Determine the spring rate. (b) Determine the minimum hole diameter for the spring to operate in. (c) Determine the total number of coils needed. (d) Determine the solid length. (e) Determine a static factor of safety based on the yielding of the spring if it is compressed to its solid length.arrow_forwardA spring made from music wire ASTM 228 steel has the following data:Free length=1.75” Outside diameter=0.561”Wire diameter=0.055” Applied load= 14 lbEnds=square and ground both ends hingedNumber of coils=10 G=11.85 x 106psi E= 30 Mpsi Findspring rate, force at solid length,check for buckling,coil clearance and hole diameterarrow_forwardA Helical Compression Spring is made of A232 Chrome-vanadium with squared and ground ends has wire diameter 5 mm, outer diameter 81.5 mm, free length 246.3 mm and total 10 turns. Do the analysis if the spring is safe and if not, what is the largest free length to which it can be wound using ns=1.2? Attach File Browse My Computerarrow_forward
- Problem 4: A helical compression spring is to be cycled between 150 lbf and 300 lbf with a 1-in stroke. The number of cycles is low, so fatigue is not an issue. The coil must fit in a 2.1-in diameter hole with a 0.1-in clearance all the way around the spring. Use unpeened music wire with squared and ground ends. (a) Determine a suitable wire diameter, using a spring index of C = 7. (b) Determine a suitable mean coil diameter. (c) Determine the necessary spring constant. (d) Determine a suitable total number of coils. (e) Determine the necessary free length so that if the spring were compressed to its solid length, there would be no yieldingarrow_forwardDesign a compression helical spring to carry a load of 500 N with a deflection of 25 mm. The spring index may be taken as 8. Assume the following values for the spring material: Permissible shear stress 350 MPa Modulus of rigidity = 84 kN/mm? 4С -1 0.615 Wahl's factor 4C – 4 where C= spring index. C [Ans. d= 5.893 mm; D= 47.144 mm;n=6| %3Darrow_forwardA spring with 12 active coils and a spring index of 9 supports a static load of 220 N with a deflection of 120 mm. The shear modulus of the spring material is 83 GPa. Working stress is 63 ksi, G = 10,800 ksi. 1. What is the theoretical wire diameter? 2. Determine the number of active coils.arrow_forward
- 1 Example 2 Steel plates, both 8mm thick, No washers held together with M10 Corse Threaded bolt the bolt is 30mm long, threaded length of 26 mm d = 10 mm At = 58.0MM тв 6 bolt Find bulr stiffness (N/HM) ? member stiffness (N/mm)? and siffness constant of the join; C ? |||| Sarrow_forwardConsider the toggle clamp shown in (Figure 1). Figure -235 mm- 30 mm 70 mm 30 mm D 30 30 E Part A If a clamping force of 350 N is required at A, determine the magnitude of force F that must be applied to the handle of the toggle clamp. Express your answer to three significant figures and include the appropriate units. F = - 1370 Submit μà Provide Feedback ^ X Incorrect; Try Again + N • 5) ? Previous Answers Request Answer Next >arrow_forwardA helical spring made of oil hardened and tempered steel compression springs, made of circular wire, is subjected to an axial force, which varies from (2.5 KN) to (3.5 KN). Over this range of force, the deflection of the spring should be approximately (5 mm). The spring index can be taken as (5). The spring has square and ground ends. If ultimate tensile strength of (1050 N/mm2) and modulus of rigidity of (81370 N/mm2). The permissible shear stress for the spring wire should be taken as (50 %) of the ultimate tensile strength.Design the spring and calculate the following: 1. Wire diameter; 2. Mean coil diameter; 3. Number of active coils; 4. Total number of coils; 5. Solid length of the spring; 6. Free length of the spring: 7. pitch of coils (p); 8. Required spring rate; 9. Actual spring rate; and 10. Draw a neat sketch .of the spring showing various dimensionsarrow_forward
- =3-456 Nm (Ans.) Example 14-8. For a close-coiled helical spring subjected to an axial load of 300 N havina 12 coils of wire diameter of 16 mm, and made with coil diameter of 250 mm, find: (i) Axial deflection; (ii) Strain energy stored; OVedarrow_forwardPROBLEM: 5 A helical valve spring is to be designed for an operating load range of 90N to 195N. The maximum deflection of the spring for this load range is 7.5 mm. Assuming a spring index of 9, a permissible shear stress of 550 N/mm2 for the material and the modulus of rigidity of 0.85x105 N/mm2. Determine the dimensions of the spring. (i.e. Diameter of the spring wire ,Mean coil diameter, Outer diameter of the spring, number of active turn and free length of the spring). Assume the spring coil is squared and ground.arrow_forwardwire- 15 mm R Wire clip 3. The figure shows a finger exerciser. It is based on torsion spring. The number of turns is 3 handle. turn. The spring mean diameter is 30mm. The 108 mm 84 mm modulus of elasticity E=210000 MPa. Its working range is 20 degree. If the human finger force is F 50N, calculate the suitable wire diameter. Then, calculate the bending stresses in this spring. 32Fr 4c? - с -1 K; = 4C(C – 1) c=? 64M DN, C = o = K;- nd 64FT DN, d'E d4Earrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Mechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage Learning
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Cengage Learning
Mechanical SPRING DESIGN Strategy and Restrictions in Under 15 Minutes!; Author: Less Boring Lectures;https://www.youtube.com/watch?v=dsWQrzfQt3s;License: Standard Youtube License