Question: A circular spring is designed as a rubber ring glued inside a steel ring (assumed rigid). Loading the spring will result in shearing the

A circular spring is designed as a rubber ring glued inside a steel ring (assumed rigid). Loading the spring will result in shearing the rubber ring as shown. The properties of the rubber are E = 3,000 MPa and 0.495. Hints: (1) the shear stress in the rubber ring varies with r. (2) the slope of the deformed shape, dv/dr, satisfies the small angle approximation sin a tan a ~ a. R 8 Ar Ro v(r) Ro R (a) Find the shear stress as function of r. (b) Find the shear strain as function of r. (c) Use the kinematic relation (connection of shear strain, y, and deflection, v(r)) to find v(r) (d) How large of a force is required to generate a deflection of 8 = 5.0 mm?

Step by Step Solution

★★★★★

3.33 Rating (153 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

Solution Given t 3000Pa V 0495 t 15mm Ro 6mm R20mm Do2x Ro DIE 2R1... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Accounting Questions!

Managing Scope Changes Case Study Scope changes on a project can occur regardless of how well the project is planned or executed. Scope changes can be the result of something that was omitted during...

This is on the transport phenomena revised 2nd edition textbook on forced convection topic. Can anyone provide step by step solution to get from equation 10.8-12 to 10.8-19? of the equation of...

Please assist me for the complete derivation of this equation from the transport phenomena textbook(2nd revised edn)? Specifically, how to get from equation 10.8-12 to 10.8-19? Kindly refer to the...

The forces acting on a simple pendulum are shown in Fig. 13.26. (a) Show that, for the small angle approximation (sin Î¸ Î¸), the force producing the motion has the same form...

A hybrid carbon-aramid/epoxy composite is made by randomly mixing continuous aligned fibers of the same diameter, so that there are two carbon fibers for each aramid fiber. The fibers are assumed to...

The circular spring clamp produces a compressive force of 3 N on the plates. Determine the maximum bending stress produced in the spring at A. The spring has a rectangular cross section as shown. 10...

Answer all the questions on the page '13. A 2 kg object traveling at 40 m/s east collides perfectly elastically with a 3 kg object travelling at 30 m/s west. What is the Kinetic Energy of the system...

Find the normal modes for the coupled pendulums if in Figure 12-5 when the pendulum on the left has mass bob m1 = 300 g and the right has mass bob m2 = 500g. The length of both pendula is 40cm, and...

The data set 401KSUBS contains information on net financial wealth (nettfa), age of the survey respondent (age), annual family income (inc), family size (fsize), and participation in certain pension...

7 Your boss needs to know the exact material volume of molded pyramid shaped toys so she can determine the exact cost of raw materials Given the formula V s h find the volume V of the toys if s 3 3 x...

Graph a rate-of-change function that has a slope of 0 at the equilibrium but the equilibrium is unstable. What is the sign of the second derivative at the equilibrium? What is the sign of the third...

Exhibit 2 Flash Report for the KFBS Allstars Concert Event Month 7 Event Date 07/31/22 Projected Sales A Seats 2,978 B Seats 2,945 C Seats 1,856 D Seats 881 Total 8,660 Ticket Price A Seats $ 58.00 B...

Connie owns shares in a business. She wants the shares to be distributed equally among her adult children when she dies. Which of the following statements is FALSE? a ) Connie should make a specific...

Suppose you are going to open your fashion business website. Write a paragraph about your business that get visitors know about your business ?

What are the meaning of Nominal, Instrumental, Representative and Transformative forms of participation in court? with examples.

Ima Greedy, the CFO of Financial Saving Techniques has been granted options on 200,000 shares. The stock is currently trading at $23 a share and the options are at the money. The variance of the...

Mason (single) is a 50 percent shareholder in Angels Corp. (an S Corporation). Mason receives a $182,000 salary working full time for Angels Corp. Angels Corp. reported $408,000 of taxable business...

Sky Rubber Gloves company is in latex industries manufacturing medical and non-medical rubber gloves for both local and international markets. The two resources that are needed to produce the rubber...

Solve Review Questions x 1 9 10- 11- 12- What is a computer, and what does it do? Explain five uses of computers in daily life. Differentiate between data and information, then give an example for...

Qestion-2 A helical compression spring made of no. 0 music wire is designed for static load application. The outside coil diameter of the spring is 8 mm and there are 10 total turns. Ends are squared...

Activity 1: Newton's Second Law Data Table 1 Suspended Weight of Time Average Average d (m) 2d. Time2 Mass (kg) Suspended (sec) Time Mass (mass x 9.8 m/s), Newtons 3 Washers Trial 1: Trial 2: Trial...

You stand on a spherical asteroid of uniform density whose mass is 2 x 1016 kg and whose radius is 10 km. These are typical values for small asteroids. (a) How fast do you have to throw a rock...

TextEdit File Edit Format View Window Help 91%O Thu 6:38 AM Q IE *Homework Help - Q&A from Or x D2L 4-2 Assignment: Game Player | X D21 Module Four Assignment Guide X + - C...

Activity 1: Newton's Second Law 1. Place two books close together on the table near the clamp pulley, one on either side of the string. Place them close enough to the clamp to prevent the cart from...

When curves are designed for trains, sometimes the outer rail is elevated or banked, so that a locomotive can safely negotiate the curve at a higher speed. See the figure. Suppose a circular curve is...