A closed-coil helical spring is to have stiffness of 900 N/m in compression with a maximum load of 45 N and a maximum shearing stress of 120 N/mm2.The length of the spring is 45 mm. find the wire diameter, mean coil radius and the number of coils. Take C= 40000 N/mm2

A closed-coil helical spring is to have stiffness of 900 N/m in compression with a maximum load of 45 N and a maximum shearing stress of 120 N/mm2.The length of the spring is 45 mm. find the wire diameter, mean coil radius and the number of coils. Take C= 40000 N/mm2

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter2: Axially Loaded Members

Section: Chapter Questions

Problem 2.8.10P: A bumping post at the end of a track in a railway yard has a spring constant k = 8.0 MN/m (see...

See similar textbooks

Related questions

Q: 2. A rigid bar, hinged at one end, is supported by two identical springs as shown in the Fig. Each…

Q: Q2: Consider the steel spring in the illustration. (a) Find the pitch, solid height, and number of…

A: Dear student, we are suppose to solve only 3 sub parts. Please post other parts as a separate…

Q: A solid and a hollow shaft, connected by a coupling, transmit power. The outside diameters of the…

Q: The deflection of the composite spring when subjected to the greatest load A fixed bar is pinned at…

A: Given DataD=150mmd=10mmboth spring have same materialW=10kg Here in this problem we have to…

Q: A hollow shaft with external and internal diameters 100 mm and 75 mm respectively transmits 500 kW…

A: As per given question calculate the shear strain at the inner and outer radii and the modulus of…

Q: A hard-drawn steel wire extension spring has a spring index Of 7.5, hook radii of r 0.106 in and r2…

A: Spring is an elastic energy storage object. Springs usually consist of spring steel. There are many…

Q: A,B and the bearings C, D are located as shown in Fig. The belt tensions are also shown in the…

Q: The figure below shows a shaft of three segments. It is restrained (fixed support) at both sides and…

A: Bronze: Length, Lbronze= 2 mDiameter, Dbronze= 25 mm= 25×10-3 mGbronze= 35 GPa= 35×109 Pa Aluminum:…

Q: 6. When a coil spring with a spring rate of 160 Ib/in. is compressed 1.6 in., the coils are closed.…

A: A Spring system is a system in which the mass in the system is concentrated on the spring. The…

Q: A load P is supported by two concentric steel springs. Given: Inner Spring: 30 turns of 20-mm ø wire…

A: When a component or a part is subjected to any external force, a resisting force will be developed…

Q: Calculate the maximum shearing stress developed in a phosphor bronze spring having mean diameter of…

Q: A load P is supported by two concentric steel springs arranged as shown. The inner spring consists…

A: Given, < = > Inner Spring n = 30 turns dw = 20 mm Dm = 150 mm < = > Outer Spring n = 20…

Q: 1.24 Find the length of the equivalent uniform hollow shaft of inner diameter d and thickness / that…

A: Solution: here l2 is the hallow shaft solid conical shaft length 'l' is show in…

Q: A shaft with a diameter of 51 mm rotates at 1,225 RPM. Three discs are mounted on the shaft, with…

A: Given , Diameter of the shaft = 51 mm Speed of the shaft , N =1225 rpm. w1 = 9 N ,w2 = 26 N . w3…

Q: A makeshift compact torsional spring is made of steel (Gst = 11,000,000 psi) and is composed of a…

Q: A closed coil vertical spring-loaded valve is required for a compressed air receiver. The valve is…

A: We need to design a close coiled round section helical spring having squared ground ends. The…

Q: A close-coiled helical spring having n coils of steel wire and a mean diameter D, which is eight…

Q: Consider the steel spring in the illustration. (a) Find the pitch, solid height, and number of…

A: Concept Of Spring Used Note: There are four part in the question only first three has been answered…

Q: When a coil spring with a spring rate of 160 lb/in. is compressed 1.6 in., the coils are closed. The…

Q: 1. Design a compression helical spring to carry a load of 500 N with a deflection of 25 mm. The…

A: Spring is an elastic member or object which stores mechanical energy in it. Material of construction…

Q: The deflection of the composite spring when subjected to the greatest load A fixed bar is pinned at…

Q: Problem 4. The 16 × 22 × 100-mm rubber blocks (E = 54.76 MPa and v = 0.48) shown in the figure are…

A: Given: Length of the rubber block→L=100 mm Height of the rubber block→H=22 mm Allowable shear…

Q: Maximum shear stress in a solid shaft of diameter D and length L twisting through an angle p is S. A…

Q: Prob. # 6] Determine the equivalent spring constant, N/m and Ib/t, of the system shown in figure P6…

A: GIVEN DATA A SYSTEM OF SPRING GIVEN WE HAVE TO FIND EQUIVALENT SPRING STIFFNESS

Q: or the two-cell tube, the rate of twist is 5 degree/meter. G=20 GPa, if a is 10 cm and t equals to 4…

Q: A close-coiled helical spring is made of a wire of diameter 20 mm. The mean radius of the coils is…

Q: 5.6 A vertical close-coiled helical compression spring must have a stiffness of 900 N/m under a load…

A: k=Stiffness of Spring=900 N/mP=load=45 Nσmax=Maximum load=120 MPaG=Shear Modulus=40 GPah=Vertical…

Q: Q2: Consider the steel spring in the illustration. (a) Find the pitch, solid height, and number of…

A: Dear student, we are suppose to solve only 3 sub parts. Please post other question as a separate…

Q: wire - 15 mm R Wire clip 3. The figure shows a finger exerciser. It is based on torsion spring. The…

A: A finger exerciser is used to make fingers strong. Force is applied to the handle so that spring…

Q: Q.5 A concentric spring for an aircraft engine valve is to exert a maximum force of 5000 N under an…

A: Disclaimer: Since you have posted multiple questions, we will solve the first question for you. If…

Q: Problem No. 4. A compound shaft consists of two pipe segments has the following properties: SET…

A: Segment 2 from set c Torque = Tc = 34 KN.m = 34 X 106 N.mm Outside Diameter = D2 = 230 mm Wall…

Q: A machinery uses a helical tension spring with wire diameter of 3 mm and coil outside diameter of 35…

Q: (3) A circular cam 8-in in diameter rotates off-center with an eccentrity e = 1" & operates the…

Q: A motor drives a shaft at 12 Hz and delivers 20 kW of power as shown in Fig.4. (a) If the shaft has…

Q: In the given fig shows the suspension system of a freight truck with a parallel-spring arrangement.…

A: Data given - n = 5 G = 120 GPa D = 50 cm d = 5 cm Total number of spring = 3 { in parallel }

Q: A load P is supported by two springs arranged in series. The upper spring has 20 turns of 19 mm…

Q: A close-coil helical spring is to have a stiffness of 1,000 N/m in compression, with a maximum load…

Q: A steel shaft ABC connecting three gears consists of a solid bar of diameter d between gears A and B…

A: Given Data: The value of T1 = -240 N-m. The value of T2 = 540 N-m. The value of T3 =- 300 N-m. The…

Q: 4. A solid shaft 125 mm in diameter transmits 120 KW at 160 rpm. Taking C = 8 x 10 N/mm² and length…

A: P=120 kWRPM, N=160C=G=8×104 N/mm2D=125 mmlength, L=7.5 m

Q: A high alloy spring having squared and ground ends and has a total of 16 coils and modulus of…

A: Given question belongs to the subject MACHINE DESIGN and from topic Springs can be solved using…

Q: Q2: Consider the steel spring in the illustration. (a) Find the pitch, solid height, and number of…

A: Dear student, we are suppose to solve only 3 sub parts. Please post other parts as a separate…

Q: A simple diagram of a driveshaft ABC is shown in Figure 3. The power generated by an engine is…

Q: Consider the spring properties below: Spring Number of turns Mean Diameter (mm) Wire Diameter (mm)…

A: Given: For outer spring: number of turns→n=120 mean diameter→D=50 mm=0.05 m wire diameter→d=8…

Q: 1.) Design a compression helical spring to carry a load of 500 N with a deflection of 25 mm. The…

Q: Compute the deflection of a 18 coils helical spring having a load of 100 kgs. The modulus of…

A: A spring is a mechanical item that restores elastic properties by using material with a high…

Q: A makeshift compact torsional spring is made of steel (Gst = 11,000,000 psi) and is composed of a…

A: G=11000,000 psiLAC=12 inLAB= 12 inT=2 kip-ina Maximum shear stress in solid shaftdsolid=.6 in…

Q: The disc clutch of an automobile is carried on a 2-inch 6-splined shaft and not to slide under load.…

A: Write the given data. D=2 inb=0.252=0.5 int=0.0752=0.15 ind=0.852=1.7 inL=1.52=3 inN=3600 rpmσY=1400…

Q: The figure illustrates a stepped torsion-bar spring OA with an actuating cantilever AB. Both parts…

Concept explainers

Forced undamped vibrations

In mechanical engineering, vibration is expressed as the term that occurs due to an object's backward and forward movement about a point of equilibrium. Generally, there are three types of vibrations which are,

Question

A closed-coil helical spring is to have stiffness of 900 N/m in compression with a maximum load of 45 N and a maximum shearing stress of 120 N/mm²^.The length of the spring is 45 mm. find the wire diameter, mean coil radius and the number of coils. Take C= 40000 N/mm²

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

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

A safety valve on the top of a tank containing steam under pressure p has a discharge hole of diameter d(see figure). The valve is designed to release the steam when the pressure reaches the value Pmax If the natural length of the spring, is L and its stiffness is k, what should be the dimension ft of the valve? (Express your result as a formula for h.)
A bumping post at the end of a track in a railway yard has a spring constant k = 8.0 MN/m (see figure). The maximum possible displacement d or the end of the striking plate is 450 mm. What is the maximum velocity vmaxthat a railway car of weight W = 545 kN can have without damaging the bumping post when it strikes it?
A helical spring is made of 10 m diameter steel wire wound on a 100 mm diameter mandrel. If there are 10 active coils what is spring constant Take: C= 100 GPA What force must be applied to the spring to elongate it by 50 mm?
2. Figure 1 shows the suspension system of a freight truck with a parallel-spring arrangement. Find the equivalent spring constant (one side only. i.e., three springs) of the suspension if each of the three helical springs is made of steel with a shear modulus G = 80×10° N/m? and has five effective turns, mean coil diameter D = 20 cm, and wire diameter d = 2 cm. BUCKEYE KOR Figure 1. Parallel arrangement of spring in a freight truck.
In a compound helical spring, the inner spring is concentric with the outer spring, but is 9 mm shorter. The outer spring has ten coils of mean diameter 24 mm, and the wire diameter is 3 mm. Find the stiffness of the inner spring if an axial load of 150 N causes the outer spring to compress 18 mm. If the mean coil diameter for the inner spring is 15.94 mm, find the wire diameter of the inner spring when it has eight coils. Both the springs are made of the same material having G = 77 GPa.
In the given fig shows the suspension system of a freight truck with a parallel-spring arrangement. Find the equivalent spring constant of the suspension if each of the three helical springs is made of steel with a shear modulus G = 120GPaand has five effective turns, mean coil diameter D = 50 cm, and wire diameter d = 5 cm
Considering the figure shown, determine the equivalent spring constant of a spring that will represent all of the given springs such that its deflection is along a vertical path with the mass. k1=1N/m k2=2N/m k3=3N/m k4=4N/m and k5=5N/m. (answer in N/m) * k2 m k3 k5 k4
- In a compound helical spring, the inner spring is arranged within and concentric outer one but is 10 min shorter. The outer spring has 10 coils of mean diaineter 30 min and wire dia 3 mm. Find stiffness of inner spring if an axial load of 100 N causes outer one to compress by 20 mm. If the radial clearance between the springs is 2 mm, find wire diameter of inner spring which has 8 coild. G 80 kN/mm.
Two coaxial closed coil springs make up a standard compound helical spring. When both springs are unloaded, they are not of equal length. If each spring's working stress is to be the same. The wire material has an 80 GPa modulus of rigidity. Find the diameter of steel wire for inner spring and stiffness of inner spring. Also find the stiffness of the compound spring. Outer spring a: Mean coil diameter = 100 mm No. of turns = 15 Wire diameter = 12.5 mm Inner spring b: mean coil diameter = 75 mm No. of turns = 20
1. A helical compression spring is made of hard-drawn spring steel wire with a wire diameter d = 0.080 in and an outer coil diameter OD = 0.880 in. The ends are plain and ground, and there are 8 total coils. Determine the force F, required to close the spring, the spring constant k, the free length of this spring corresponding to n, = 1.2, and the pitch p.
1. Design 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/mm2 4С - 1 0.615 Wahl's factor where C-spring index. 4С - 4
Design a helical spring to be used in spring balance with a wire diameter of 6mm and the outside diameter should be limited to 66mm. if the permissible shear stress of the spring material is 325 N/mm? and the Modulus of rigidity is 85kN/mm?. a) Compute the deflection of spring per active turn and the axial load on the spring considering the effect of curvature, take Wahl's factor as Kw= 1.1 b) Calculate the value of axial load neglecting the effect of stress factor. **Note: Please upload your handwritten working/solution to the link provided. The value of Mean diameter of the spring in mm . The Spring Index is. Shear stress factor, neglecting curvature effect . Deflection per active turn in mm Axial Load W in N .. Axial Load W in N. considering effect of curvature .