helical compression spring subjected to compressive load. The maximum shear stress induced in the cross-section of the wire is 24 MPa. For the same compressive load, if both the wire diameter and the mean coil diameter are doubled, calculate the maximum shear stress induced in the cross-sect

helical compression spring subjected to compressive load. The maximum shear stress induced in the cross-section of the wire is 24 MPa. For the same compressive load, if both the wire diameter and the mean coil diameter are doubled, calculate the maximum shear stress induced in the cross-sect

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter8: Applications Of Plane Stress (pressure Vessels, Beams, And Combined Loadings)

Section: Chapter Questions

Problem 8.2.7P: (a) Solve part (a) of the preceding problem if the pressure is 8.5 psi, the diameter is 10 in., the...

See similar textbooks

Related questions

Q: hat is the damping factor of the sys

A: Given:equation,D2x+3 Dx +9x=10 sin5tFind,Damping factor=?

Q: The 9500-lb pipe is supported by three cables. Determine the force in each cable for equilibrium of…

Q: A girl operates a radio-controlled model car in a vacant parking lot. The girl's position is at the…

Q: A 200 x 100 x 50 mm steel block is subjected to a 15 MPa. The Young's modulus and Poisson's ratio of…

A: Given:Dimension of steel block=200×100×50 mmHydrostatic pressure=15 MPaE=200 GPaϑ=0.3Find,Change in…

Q: Consider a 60-N weight suspended by two wires as shown in the accompanying figure. If the magnitude…

Q: Q2: A: For the tanks-system shown below, write the equations (only) of the flow in each tank. Assume…

A: Given: For tank 1: Incoming flow rate→Q1i=5 gal/min Outgoing flow rate→Q1o=2+3=5 gal/min…

Q: The steel frame (E = 200 GPa) shown has a diagonal brace BD with an area of 1920 mm². Determine the…

A: Given Data- Area A =1920mm2 E=200GPa Change in length of BD =1.9mm We have to find Load P

Q: Object A of mass 10 kg moving at 10 m/s [E] collides with Object B of mass 8 kg moving at 10 m/s…

Q: 1.21 The thermal conductivity in a particular plane wall depends as follows on the wall temperature,…

Q: A 200-kg dragster (racing car) exerts a constant force of 4000 N during a race. The coefficient of…

A: As per the guidelines we are subjected to solve only three subparts of a question. Please repost the…

Q: Determine the magnitude of the resultant of the three forces shown F₁ = 70 N 3 5 4 F₂ = 80 N O 33.8…

Q: A spur pinion of pitch diameter 50 mm rotates at 200 rad/s and transmits 3 kW power. The pressure…

A: We have to solve above question Given data Pitch diameter =50mm Power =3kw Angular velocity =200…

Q: Problem 6 Determine the magnitude of the unknown force, F, such that the reaction force vector is…

Q: Problem 2 Three forces meet at a point. Use the graphical technique (vector triangle) to find the…

Q: enturimeter of 0.5 contraction ratio has been fixed in a 100 mm diameter horizontal pipe.The head of…

A: Given:d=100 mmcontraction ratio=0.5No flow pressure head=P1ρg=3 m +10.3 m=13.3 mthroat pressure…

Q: Two hard rubber blocks are used in an anti-vibration mount to support a small machine as -140 lb…

A: According to the given data P=140lb δ=0.23 in a=0.50im b=0.95in and c=2.70in We need to find…

Q: Determine the tension in cable AC. The bucket has a mass of 60 kilograms.

Q: Carnot cycle heat pump utilizes R-134a as the working fluid. Heat is transferred from the fluid at…

A: Given:Refrigerant=R134aCondenser temperature, Tc=100oFEvaporator temperature, Te=20oFFind:a…

Q: Q2: A: For the tanks-system shown below, write the equations (only) of the flow in each tank. Assume…

A: Given: For the tank1: Incoming flow rate=5 gal/min Outgoing flow rate=2+3=5 gal/min Concentration of…

Q: The two aluminum rods AB and AC have diameters of 10 mm and 8 mm, respectively. (Figure 1) Figure…

A: GivendAB=10mmdAC=8mmσallow=150 MPa

Q: A cylindrical component 0.3 m long is solid for 1/3 of its length and hollow with inner diameter ½…

A: The maximum temperature is the highest temperature that a material or component can withstand…

Q: 2-25. The chisel exerts a force of 20 lb on the wood dowel rod which is turning in a lathe. Resolve…

Q: Determine the magnitude and coordinate direction angles of the moment of F about point A. i = 40 lbs…

A: Given: Force F→=40i+50j+30k

Q: To test a glue, two plates are glued together as shown in Fig. 3.16. The bar formed by the joined…

Q: Thermal energy of a substance is the sum of the potential energy and kinetic energy of the particles…

A: Given Thermal energy of a substance is the sum of the potential energy and kinetic energy of the…

Q: Find the inverse Laplace transform -¹{F(s)} of the given function F(s) 20 s² + 25 Your answer should…

A: Giventhe inverse laplace transform L-1FSFS=20s2+25

Q: Determine the average normal strain along diagonal DB, based on the original plate (blue) and the…

Q: . Determine the crippling load for a I-section of dimensions 20 cm × 10 cm × 2 cm and of length 5 m…

Q: A locomotive is traveling on the straight and level track with a speed v = 79 km/h and a…

A: Given that: speed of the locomotive is 79 km/h deceleration is 0.6 m/s2 when θ = 64o, r = 375 m, it…

Q: Hockey player A carries the puck on his stick and moves in the direction shown with a speed VA = 4.6…

A: The answer is given below,

Q: a. Find out the equation describing the relationship between the rpm of the wheels, ?wheel, and the…

A: ωwheel ⇒ Angular velocity of wheelV⇒Velocity of wheelLet,Radius of wheel = XAssuming the wheels…

Q: 3. Determine the angle between cable DC and DA. use x=y=3 for point A. 16 m 18 m 600 N 400 NM 800 N…

A: According to the given data there are the cables DA, DB and DC we need to determine Angle b/w cable…

Q: A copper pipe carrying hot water is losing heat with a convective heat transfer coefficient of h =…

Q: A reversed Carnot cycle is given which operates between the temperature limits of 27°C and -3°C So…

A: Given:Th= 27°C or 300 KTl=-3°C or 270 KFind,Ratio of Coefficient of performance of refrigerator to…

Q: A tension test was performed on a steel specimen having an original diameter of 0.503 in. and gauge…

Q: Part of a control linkage for an airplane consists of a rigid member CB and a flexible cable AB.…

A: The given information in the problem is shown in the following attached image:

Q: Current Attempt in Progress An inventor has developed a refrigerator capable of maintaining its…

A: Given data The temperature of freezer = 20°F The temperature of kitchen = 70°F Find the which claim…

Q: Situation.5: A horizontal rigid boom OD is subjected to a. vertical load P-1000 N and is supported…

A: Given: Force on the boom Required: Tension in cable AC and BC

Q: The mass flow rate of the refrigerant in a Single Stage Vapor Compression (SSVC) refrigeration…

Q: Question 2: Numerical solution of heat equation using explicit finite difference method (a) Write…

A: Given: ∂u∂t=6π∂2u∂x2 with conditions u0,t=20t, u2,t=10t2 t>0ux,0=x2-x 0≤x≤2 ∆x=h=0.5 and…

Q: Find Reactions at R, and R₂ assume equally distributed +1053 lbs/fr 180.25 200,000ths X0=15° R₁…

Q: 7. Electric power is to be generated by installing a hydraulic turbine-generator at a site 70 m…

Q: How much work is done in an Adiabatic process where the internal energy drops from 70 kJ to 38 kJ?…

Q: a su spectral nemispherical emissivity figure below m). 's law is = C, here C = 2898 μmk and…

A: Given:Wien's law,λmT=CC=2898 μmKFind,Temperature at which hemispherical emissivity will be highest?

Q: Data has been gathered from a lifting system used to transport engine parts. The system consists of…

A: Using the second equation of motion, we will compute the linear velocity, linear acceleration,…

Q: Consider a single pane glass window versus a double pane window. Find the R value of a single pane…

A: Given: The thickness of the glass, t = 0.5 cm = 0.005 m The air gap, s = 0.65 cm = 0.0065 m The…

Q: 17 The area S of a triangle is determined using the equation S=bc sin A. Determine an equation for…

A: The area of a triangle is given by S=12bcsinA here, b, and c are sides of the triangle and A is the…

Q: The mass flow rate of the refrigerant in a Single Stage Vapor Compression (SSVC) refrigeration…

Q: 5-4 Composite A-36 steel bar shown made from two segments AB and BD. Area AAB = 600 mm2 and ABD =…

Q: What are the types of liquid fuels? 2. Why density is important to liquid fuels? 3. What are the…

A: 1.Liquid Fuels: Liquid fuels are the type of fuels which are in liquid form in nature and they can…

Concept explainers

Pressure Vessels

The term pressure vessel refers to a closed container that contains gas or liquid at a different pressure than environment pressure. The pressure vessels have a wide scale of applications in our day-to-day lives and other industrial places. Some common examples of pressure vessels are gas cylinders, autoclaves, compressor vessels, etc.

Question

A helical compression spring subjected to compressive load. The maximum shear stress induced in the cross-section of the wire is 24 MPa. For the same compressive load, if both the wire diameter and the mean coil diameter are doubled, calculate the maximum shear stress induced in the cross-section of the wire?

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

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 bar with a circular cross section having two different diameters d and 2d is shown in the figure. The length of each segment of the bar is L/2T and the modulus of elasticity of the material is E. (a) Obtain a formula for the strain energy U of the bar due to the load P. (b) Calculate the strain energy if the load P = 27 kN, the length L = 600 mm, the diameter d = 40 mm, and the material is brass with E = 105 GPa.
A W 8 × 28 beam of a length 10 ft is held between immoveable supports. The beam has a modulus of elasticity E = 29,000 ksi and coefficient of thermal expansion a = 6.5 ×10-6 /?. If the temperature of the beam is raised uniformly by an amount AT = 20°F, calculate the thermal stress aTin the beam.
A solid circular steel cylinder S is encased in a hollow circular aluminum tube A. The cylinder and tube are compressed between the rigid plates of a testing machine which applies forces P. Calculate the allowable value of the compressive force if the yield stresses of sleel and aluminum are srs = 50 Ksi and ??A= 60 ksi, respectively. Assume that As= 12 in2. AA= 6 in2. L = 20 in., Es= 29,000 tsi and EA=10,600 ksi
A polyethylene tube (length L) has a cap that when installed compresses a spring (with under-formed length L1) by an amount ?? = (L1 = L). Ignore deformations of the cap and base. Use the force at the base of the spring as the redundant. Use numerical properties given in the boxes. (a) What is the resulting Force-in the spring, Fk? (b) What is the resulting Force in the tube, Ftl (c) What is the filial length of the tube, Lf? (d) What temperature change ?T inside the tube will result in zero force in the spring
An aluminum bar has length L = 6 ft and diameter d = 1.375 in. The stress-strain curse for the aluminum is shown in Fig. 1.34. The initial straight, line part of the curve has a slope (modulus of elasticity) of 10.6 × 106 psi. The bar is loaded by tensile forces P = 44.6 k and then unloaded. (a) That is the permanent set of the bar? (b) If the bar is reloaded. what is the proportional limit? hint: Use the concepts illustrated in Figs. l.39b and 1.40.
Solve the preceding problem if the collar has mass M = 80 kg, the height h = 0.5 m, the length L = 3.0 m, the cross-sectional area A = 350mm2. and the modulus of elasticity E = 170 GPa.
A brass wire of diameter d = 2.42 mm is stretched tightly between rigid supports so that the tensile force is T = 98 N (see figure). The coefficient of thermal expansion for the wire is 19.5 × 10-6/°C. and the modulus of elasticity is E = 110 GPa. (a) What is the maximum permissible temperature drop AT if the allowable shear stress in the wire is 60 MPa? (b) At what temperature change does the wire go slack?
Repeat Problem 2.3-18, but assume that the bar is made of copper alloy. Calculate the displacements SBand Scif P = 50 kips, L = 5 ft = 3/5 in., b1= 2.75 in., b2= 3 in., and E = 16,000 ksi.
Rigid bar ACB is supported by an elastic circular strut DC having an outer diameter of 15 in. and inner diameter of 14.4 in. The strut is made of steel with a modulus elasticity of E = 29,000 ksi. Point load P = 5 kips is applied at B. Calculate the change in length of the circular strut DC. What is the vertical displacement of the rigid bar at point B?
Solve the preceding problem if the diameter is 480 mm, the pressure is 20 MPa, the yield stress in tension is 975 MPa, the yield stress in shear is 460 MPa, the factor of safety is 2,75, the modulus of elasticity is 210 GPa, Poissorfs ratio is 0.28, and the normal strain must not exceed 1190 x 10" . For part (b), assume that the tank thickness is 8 mm and the measured normal strain is 990 x 10~
A small lab scale has a rigid L-shaped frame ABC consisting of a horizontal aim AB (length b = 30 cm) and a vertical arm BC (length c = 20 cm) pivoted at point B. The pivot is attached to the outer frame BCD that stands on a laboratory bench. The position of the pointer at C is controlled by two parallel springs, each having a spring constant k = 3650 N/m. that are attached to a threaded rod. The pitch of the threads is p = 1.5 mm. If the weight is 65 N. how many revolutions of the nut are required to bring the pointer back to the mark?
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.)