A leaf spring 1 m long is made up with steel plates with width equal to 6 times its thickness. Design the spring for a load of 15 kN when the maximum stress is 100 MPa and deflection is not to exceed 16 mm.

A leaf spring 1 m long is made up with steel plates with width equal to 6 times its thickness. Design the spring for a load of 15 kN when the maximum stress is 100 MPa and deflection is not to exceed 16 mm.

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 2.2.1P: A 10-ft rigid bar AB is supported with a vertical translational spring at A and a pin at B. The bar...

See similar textbooks

Related questions

Q: A circular hollow column has an external diameter of 1.5 m and a wall thickness of 0.25 m. Both ends…

A: Given: Diameter, d = 1.5 m Length, l = 20.8 m E = 200 GPa Find: The…

Q: A simply supported semi-elliptical leaf spring has a length of 841 mm and the plates are to be 84 mm…

A: Simply supported semi-elliptical leaf spring has a length of 841 mm and the plates are to be 84 mm…

Q: Determine the total deformation of the steel rod shown in figure (1) under the given loads. Take the…

A: The loads in the different segments of the composite rod are,

Q: A load P is supported by two springs arranged IN SERIES. The upper spring has 20 turns of…

Q: PROBLEM: 3 A helical spring made of C50 steel has an outside diameter of 91 mm and a wire…

Q: Figure 5a shows a 6 m high steel column with the cross-section shown in Figure 5b. The column is…

A: Given: The weight of block, W = 250 kN The eccentricity of load, e = 3 m The modulus of elasticity,…

Q: A steel bar of a length, diameter and Young's modulus of 400 mm, 20 mm and 200 GPa is placed…

A: As per BARTLEBY rule i answer only first 3 parts , so i hope you understand.

Q: The smaller of two concentric helical spring is made of 22mm diameter steel spring and has an…

Q: 4. Calculate the Youngs modulus for the materialL of the bar shown below, The bar has an initial…

Q: A steel bar of a length, diameter and Young's modulus of 400 mm, 20 mm and 200 GPa is placed…

Q: (1) The belt tension in a 400mm pulley is 4,000N. It is mounted to a shaft to transmit power to…

Q: To use deformation compatibility equations to calculate loads and deflections for statically…

A: Free Body diagram: Taking moment about F2 ∑MF2 = 0-F1(L1+L2)-P(L2) = 0F1 =…

Q: A load is applied to a rigid bar that is symmetrically supported by three steel rods, as shown. The…

A: here the cross- section of the rod is A A= 1.2 in2 stress = 22000 psi

Q: A close-coiled helical spring is to have a stiffness of 90 kN/m and is to exert a maximum force of…

Q: A concentric helical spring is used to support a load of 90 KN. The inner spring has a rate of 495.8…

A: Find the percent load carried by the inner spring.

Q: A steel bar of a length, diameter and Young's modulus of 400 mm, 20 mm and 200 GPa is placed…

Q: Calculate the thickness and number of leaves of a semi-eliptic carriage spring which is required to…

A: Given data as per the question Central load = 2KN Length = 1 m Maximum stress = 225MN/m2 width =100…

Q: A steel bar of a length, diameter and Young's modulus of 400 mm, 20 mm and 200 GPa is placed…

Q: 2. A mild steel rod 1 m long and 20 mm diameter is subjected to an axial pull of 62.5 kN. What is…

A: Given data: - The length of the steel rod is L = 1 m. The diameter of the rod is d = 20 mm. The…

Q: Determine the total deformation of the steel rod shown in figure (1) under the given loads. Take the…

Q: A helical spring used in an automobile suspension is having a wire diameter of 7mm and an outside…

Q: A column has a rectangular cross -section of 10mm* 20mm and a length of 1m. The slenderness ratio of…

Q: A steel bar of a length, diameter and Young's modulus of 400 mm, 20 mm and 200 GPa is placed…

Q: A load P is supported by two springs arranged in series. The upper spring has 20 turns of 29-mm…

Q: Column is designed and fabricated using Aluminum alloy having hollow cross- section as shown.…

A: Given data: Modulus of elasticity = 10.4×103 ksi Yield strength = 40 ksi…

Q: 8 The steel column of circular cross section is attached to rigid supports at A and C. Find the…

Q: 3. Two rectangular blocks of rubber, each 80 mm wide by 20 mm tall by 40 mm thick (dimension into…

A: Since we only answer up to 3 subparts so we will answer first 3. Please resubmit the question by…

Q: composite spring has two close coiled helical springs connected in parallel and compressed between…

Q: A rigid bar of length L is supported by a linearelastic rotational spring with rotational…

Q: (c) A steel rod of 30 mm diameter is 2.8 m long. (i) Find the maximum stress and work done at…

Q: A column is axially loaded in compression. The ends were specified to be fixed, but because of a…

A: (a) when column one end fixed and other end pinned then buckling load due to compressive force…

Q: Determine the critical load, Per, required to cause failure of a 21 ft long column made of A-36…

A: Given data as per question Moment inertia of column in xx axis = 2.10 in4 Moment inertia of column…

Q: For a solid cylindrical steel structure with length of 1.5 meters that is expected to withstand a…

Q: A steel bar of a length, diameter and Young’s modulus of 400 mm, 20 mm and 200 GPa is placed…

Q: A rectangular 30 mm x 25mm bar of length 250 mm subjected to axial tension load of 75 kN. Determine…

A: As per our guidelines we have to answer only one question. So, post the question seperately and…

Q: 1. A wire of metal with a diameter of 1 cm and a length of 10 m is intended to be used to lift…

Q: A copper rod of 50mm diameter is surrounded by a steel tube of 100mm external diameter, the ends…

A: Given data diameter of copper rod (d) = 50 mm outer diameter of steel tube (D) = 100 mm…

Q: 3. Two rectangular blocks of rubber, each 80 mm wide by 20 mm tall by 40 mm thick (dimension into…

Q: Calculate the thickness and number of leaves of a semi-eltiptic carriage spring which is required to…

A: If the maximum stress is limited to 225 MN/m2, we must determine the thickness and number of leaves…

Q: A steel [E = 200 GPa] rod with a circular cross section is 5 m long. Determine the minimum diameter…

A: GIven Data Length of the rod, L=5 m E=200 GPa Allowable stress, 180 MPa Force, 55 KN

Q: A semi-elliptical spring 800mm long has eight leaves, two of which are full length. The leaves are…

A: Write the given data.

Question

A leaf spring 1 m long is made up with steel plates with width equal to 6 times its thickness.
Design the spring for a load of 15 kN when the maximum stress is 100 MPa and deflection is
not to exceed 16 mm.

Expert Solution

This question has been solved!

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

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Step by step

Solved in 3 steps with 3 images

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 simply supported semi-elliptical leaf spring has a length of 841 mm and the plates are to be 84 mm wide. It has to support a load of 9.73 kN. Find the number of leaves necessary and their thickness if the following limiting conditions apply: maximum stress = 212 MPa; maximum deflection = 25 mm. (Take E as 200 GPa).
A closely coiled helical spring of mean diameter 140 mm is made up of 12 mm diameter steel wire. Calculate the direct axial load, the spring can carry if the maximum stress is not to exceed 100 MPa.
A bar, 12 mm in diameter is acted upon by an axial load of 20 kN. The change in diameter is measured as 0.03 mm. DeterminePoisson’s ratioYoung’s modulusBulk modulus Assume modulus of rigidity as 80 GPa
An 800 mm cantilever spring is composed of 4 graduated leaves and 2 extra full-length leaf. The leaves are 35 mm wide, and the spring deflects 80 mm when the load of 3 kN is applied. Calculate the thickness of leaves. Note: G = 200 Gpa.
A spring sustains 200 ft-lb of energy with a deflection of 3’’. Assume that the mean coil diameter is 7 times the wire diameter and that the allowable stress is 100ksi. Determine the wire diameter.
A safety valve spring having 9 and 2 coils has the ends squared and ground. The outside diameter of the coil is 115 mm and the wire is 13 mm. It has a free length of 203 mm. The length of which this spring must be initially compressed to hold a boiler pressure of 1.38 MPa on the seat of 32 mm diameter. Modulus of rigidity is taken as G=80GN/m?. Find the force acting on the valve set. Compute the Wahl factor
A safety valve spring having 9 and /2 coils has the ends squared and ground. The outside diameter of the coil is 115 mm and the wire is 13 mm. It has a free length of 203 mm. The length of which this spring must be initially compressed to hold a boiler pressure of 1.38 MPa on the seat of 32 mm diameter. Modulus of rigidity is taken as G=80GN/m2. a. Find the spring deflection and the operating length b. Calculate the solid length and the deflection of solid length c. Compute the solid force and the Wahl factor
A composite spring consists of two close-coil helical springs connected in series. Each spring has 14 coils at a mean diameter of 20 mm. The stiffness of the composite spring is 800 N/m. If the wire diameter of one spring is 2.5 mm, find the wire diameter of the other. What will be the maximum load which can be carried by the composite spring and the Take G=78 GPa. corresponding deflection for maximum shear stress of 150 MPa?
A hollow circular shaft of inner radius 10 mm outer radius 20 mm and length 1 m is to be used as a torsional spring. If the shear modulus of the material of the shaft is 150 GPa, the torsional stiffness of the shaft (in kN-m/rad) is?
Please show the formula used and free body diagram A steel bar 50 mm in diameter and 2 m long is surrounded by a shell of a cast iron 5 mm thick. Compute the load that will compress the combined bar a total of 0.8 mm in the length of 2 m. For steel, E = 200 GPa, and for cast iron, E = 100 GPa.
A circular metal column is to support load of 500 Tonne and it must not compress morethan 0.1 mm. The modulus of elasticity is 210 GPa. The column is 2 m long. Determinecross sectional area and the diameter.
A semi-elliptical spring 800mm long has eight leaves, two of which are full length. Theleaves are 8mm thick and 60mm wide each. It is desired to replace this spring by a helicalcoil spring of 100mm mean diameter and of such nature that for any load it will have thesame induced stress and same deflection as the leaf spring. What should be the diameter ofthe wire?