A leaf spring is to be made of seven steel plates 6-5 cm wide and 6.3 mm thick. Calculate the length of the spring so that it may carry a central load of 2.75 kN, the stress being limited to 160 MPa. Calculate also the deflection at the centre of the spring. E = 210 GPa.

A leaf spring is to be made of seven steel plates 6-5 cm wide and 6.3 mm thick. Calculate the length of the spring so that it may carry a central load of 2.75 kN, the stress being limited to 160 MPa. Calculate also the deflection at the centre of the spring. E = 210 GPa.

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter11: Columns

Section: Chapter Questions

Problem 11.5.3P: A simply supported slender column is subjected to axial load P = 175 kips applied at distance e =...

See similar textbooks

Related questions

Q: A centrifugal pump is designed for 1800 rpm and a head of 55 m. determine the speed if the impeller…

Q: A vacuum-propelled capsule for a high-speed tube transportation system of the future is being…

Q: Find the standard distance between sprocket having 4 in and 16 in diameters.

Q: In a piston cylinder system, a fluid at 0.6 bar occupying 0.08 m3 is compressed reversibly to a…

Q: 4) On turning a corner, a motorist rushing at 20 m/s, finds a child on the road 50 m ahead. He…

Q: • A prismatic beam of trapezoidal section shown in figure is subjected to sagging B.M Calculate the…

A: When a beam having Young's Modulus of Elasticity E is subjected to Bending Moment M then, bending…

Q: The following data were recorded during the tensile test of a test specimen with a diameter of 12.8…

A: The given data is that of a tensile test. Material : Aluminum Diameter of specimen = Do = 12.8 mm…

Q: Sketch bending moment diagram for the loading acting on the beam as shown in Figure Q4. From your…

A: Draw the free-body diagram of the beam. Apply moment equilibrium about point A.…

Q: 6.15 The overhanging beam carries a concentrated load at its free end. (a) Derive the expression for…

A: Calculate the reaction at point B. Apply the moment equilibrium equation about point A. Here, is…

Q: Situation 3: A calibrated test of a 0.00785 m² circular sharp-edge orifice in a vertical side of a…

A: Given : area of circular orifice = A = 0.00785 m2 discharge of 22300 N of water in 1min and 40 sec…

Q: there is a choice between two materials A and B a construction part is being designed with a safety…

Q: No. Sentences Static strength of the gear tooth is based on.. strength 1 a. bending b. compressive…

Q: Whyar 1 75kum Im D

Q: Khufra works at a spring factory and he was assigned to test a certain spring, whose constant is 50…

Q: Explain different types of designs and design methods in machine design (b) Why theories of…

Q: Consider a modification of the cold air-standard Otto cycle in which the isentropic compression and…

A: Given data Cycle : Otto cycle Compression Ratio = CR = 12 Polytropic index = 1.3 We have to find the…

Q: A domestic refrigerator with inner dimensions of 0.7 m by 0.7 m at the base and height 1 m was…

A: Base size of the refrigerator, =0.7 m* 0.7 mHeight of the refrigerator, =1 mInside temperature,…

Q: A centrifugal pump equipped with a variable frequency (speed) drive running at 3500 rpm is…

Q: A machine will save Php40,000 a year in operating costs for the next 10 years. Using interest at…

A: Given data Cost of operating the machine = 40000 per year for the next 10 years Interest = 12 % We…

Q: Show the Shear-Moment Diagram. (Use equation method) 5 kN kN W = 2 m A B 4m 3m C 3 m 4 kN D

A: Support reaction:

Q: If the clamping stress on an aluminum alloy part is uniform and 4000psi normal to a pocket, and the…

Q: 3. Assume there is friction head loss in the siphon as shown in the Fig. 2.1, where a = 1 m, b = 4…

A: Introduction: When fluid flow through the pipe there are two losses that come into the picture one…

Q: There are required 2.5 MW from a gas turbine unit for pumping of oil. Air enters the compressor at…

Q: Determine the bending moment 3.17 ft to the right of point A for the beam shown belowif T = 857 lb…

Q: A 30kW motor is used to drive a fan that has a total head of 98m. If fan efficiency is 60%, what is…

A: Soln:- Pinput = 30 Kw × 0.6 = 18 kW Head =h= 98 m ∆P = P × g × h = 1.2 × 9.81 × 98 =…

Q: Water is to be pumped from the bottom of a well 20 ft deep and 160ft above the ground with a…

A: Given Data The specific heat of water is:C=1 BTU/lbm The heat lost is:Q=500 BTU/min The mass flow…

Q: The cart impacts the safety barrier with speed vo= 3.25 m/s and is brought to a stop by the nest of…

Q: A set of spur gear transmits 30 kW when the pinion rotates at 400 rpm the gear ratio is 1:4. The…

Q: 9. Fin efficiency is defined as: tanh (mL) (hP/k Ac)1/2 (heat transfer with fin) / (heat transfer…

Q: A particle moving in the x-y plane has a velocity at time t = 5.25 s given by (3.9i+ 6.0j) m/s, and…

Q: Problem 3) A shaft is supported by journal bearings at A and B (these only provide normal support…

Q: At the exhaust of a turboject engine the nozzle is operating steadily and heat loss is assumed…

Q: 1. A horizontal bar AD with negligible mass is supported by a ball-and-socket at D and cables AB and…

Q: 8. A wedge of negligible mass is used to adjust the 500-kg block, as shown. If the vertical wall is…

Q: Draw the (a) shear-force and (b) bending-moment diagrams of the beam, knowing that the beam AB is in…

A: To find: shear force diagram Bending moment diagram Maximum normal stress.

Q: m³/kg according to the law p volume then restores the fluid In a piston cylinder system, fluid at…

Q: Air flows through a long, isentropic nozzle. The temp. and pressure at the reservoir are 1000 K and…

A: Given that: Nozzle is isentropic i.e. change in entropy is zero. Temperature of air at entrance = T…

Q: If the frequency of the pump is halved, what will happen to the power consumed? P0 = initial power…

Q: 1. Knowing that at the instant shown crank BC has sconstant angular velocity of 100 rpm…

Q: Problem 1) The space truss below has a force F = {−200î + 400ĵ + 0k}N acting at joint D. Find all…

Q: Consider a cold air-standard Diesel cycle. Operating data at principal states in the cycle are given…

Q: A spring of force constant 800Nm¹ is stretched initially by 5 cm. The work done stretching form 5 cm…

A: From the data given in question, Spring constant = k = 800 N/m Initial stretch of spring = x1 = 5 cm…

Q: standard Otto cycle in which the isentropic compression and expansion processes are each replaced…

Q: What is the kinetic energy of a 900 lbm motorcycle travelling at 60 mph? The correct answer is…

A: Mass of motorcycle, m=900 lbmSpeed of motorcycle, V=60 mph=60*1.46667 ft/s =88 ft/s 1…

Q: A pump rated at 65% efficiency is used to transport water from a large open reservoir to a point 10m…

Q: Galaw-galaw. A post weighing 314. [N] and with height h has its lower end 0.214. The upper end is…

A: Given Data The weigth of the post is:W=mg=314N The coefficient of static friction is:μs=0.214 The…

Q: shear and bending-moment diagram

A: a) Fig:FBD ∑Fy=0RA-2F=0RA=2F ∑MA=0MA-2Fa+Fa=0MA=Fa Shear forces FA=RA=2FFc=-2FFB=0 Bending Moments…

Q: e welded at their intersectio bar has diameter di 15 m O mm. Forces P1, P2 and P3

Q: of 660°C. The solia 0°C at which the m lid diagram from

A: solution of above problem is below:

Q: A 2494 lb car is moving up a 13 degree incline as shown. If it took 7 s for the car to decelerate…

Concept explainers

Types of loading

In mechanical terminology, the term load indicates that external force/weight, either constant or variable, acts on a mechanical member/structure. The weight of an object of a specific material is also an external load, and the external force that works on a structure comes under the categories of loading. The external load generates its effects as stress and strain in the structure.

Question

Need asap

A leaf spring is to be made of seven steel plates 6-5
cm wide and 6.3 mm thick. Calculate the length of the spring so that it
may carry a central load of 2.75 kN, the stress being limited to 160 MPa.
Calculate also the deflection at the centre of the spring. E = 210 GPa.

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 by step

Solved in 2 steps with 2 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 round bar of 10 mm diameter is made of aluminum alloy 7075-T6 (see figure). When the bar is stretched by axial forces P, its diameter decreases by 0.0 16 mm. Find the magnitude of the load P. Obtain the material properties from Appendix 1.
Five bars, each having a diameter of 10 mm. support a load P as shown in the figure. Determine the plastic load Ppif the material is clastoplastic with yield stress
A steel cable with a nominal diameter of 25 mm (see Table 2-1) is used in a construction yard to lift a bridge section weighing 38 kN. as shown in the figure. The cable has an effective modulus of elasticity E = 140 GPa. (a) If the cable is 14 m long, how much will it stretch when the load is picked up? (b) If the cable is rated for a maximum load of 70 kN, that is the factor of safety with respect to failure of the cable?
A simply supported slender column is subjected to axial load P = 175 kips applied at distance e = 0,5 in. from joint s A and B (see figure). The column has a circular cross section with an outer diameter of 10 in. and wall thickness of 0.5 in. Calculate the height of the column if the maximum deflection caused by the axial loads is 0,1 in. Assume that E = 29,000 ksi.
The rails of a railroad track are welded together at their ends (to form continuous rails and thus eliminate the clacking sound of the wheels) when the temperature is 60°F. What compressive stress ?? =6.5×10-6 /? is produced in the rails when they are heated by the sun to 120"F if the coefficient of thermal expansion a = the modulus of elasticity E = 30 × 106 psi?
Two identical bars AB and BC support a vertical load P (see figure). The bars are made of steel having a stress-strain curve that may be idealized as elastoplastic with yield stress aY. Each bar has cross-sectional area A. Determine the yield load Pyand the plastic load Pp.
Column AB has a pin support at A,a roller support at B, and is compressed by an axial load P (see figure). The column is a steel W12 × 35 with modulus of elasticity E = 29,000 ksi and proportional limit pl = 50 ksi. The height of the column is L = 12 ft. Find the allowable value of load P assuming a factor of safety n = 2,5.
A rigid bar of weight W = 750 lb hangs from three equally spaced wires: two of steel and one of aluminum (see figure). The diameter of the wires is 1/8 in. Before they were loaded, all three wires had the same length. What temperature increase T in all three wires will result in the entire load being carried by the steel wires? (Assume Es= 30 × 106 psi, as= 6.5 × 10-6 /'F, and aa= 12 × 10-6F.)
A steel column ( E = 30 X 103 ksi) that is fixed at the base and free at the top is constructed of a W8 x 35 wide-flange member (sec figure). The column is 9.0 ft long. The force P acting at the top of the column has an eccentricity e = 1.25 in. If P = 40 kips, what is the maximum compressive stress in the column? If the yield stress is 36 ksi and the required factor of safety with respect to yielding is 2.1, what is the allowable load Pallow?
A prismatic bar of length L = 1.8 m and cross-sectional area A = 480 mm" is loaded by forces P{= 30 kN and A = 60 kN (see figure) The bar is constructed of magnesium alloy having a stress-strain curve described by the Ram berg-Osgood equation: 45.000 618 UW id which u has units of mega pascals (MPa). (a) Calculate the displacement 8t- of the end of the bar when the load P:acts alone. (b) Calculate the displacement when the load P, acts alone. (c) Calculate the displacement when both loads act simultaneously.
A square aluminum bar with pinned ends carries a load P = 25 kips acting at distance e = 2,0 in. from the center (sec figure). The bar has a length E = 54 in. and modulus of elasticity E = 10,600 ksi. If the stress in the bar is not to exceed 6 ksi, what is the minimum permissible width bminof the bar?
A steel pad supporting heavy machinery rests on Four short, hollow, cast iron piers (see figure). The ultimate strength of the cast iron in compression in 50 ksi. The outer diameter of the piers is d = 4.5 in, and the wall thickness is t = 0.40 in. Using a factor of safety of 3.5 with respect to the ultimate strength, determine the total load P that can be supported by the pad.