A circular rod of diameter 16 mm and 500 mm long is subjected to a tensile force 40kN. The modulus of elasticity for steel may be taken as 200 kN/mm2. Find stress, strain and elongation of the bar due to applied load.

A circular rod of diameter 16 mm and 500 mm long is subjected to a tensile force 40kN. The modulus of elasticity for steel may be taken as 200 kN/mm2. Find stress, strain and elongation of the bar due to applied load.

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 8.2.6P: A rubber ball (sec figure) is inflated to a pressure of 65 kPa. At that pressure, the diameter of...

See similar textbooks

Related questions

Q: A circular pipe of internal diameter 30 mm and thickness 4 mm is subjected to a force 30 kN and the…

Q: Find the reading of the device for tensile testing of cement mortar in the unit KN if the cement…

A: Given : Tensile strength = 1.5 MPa Area = 2*2.3 cm^2

Q: A circular solid piece of rock is tested in a compression testing rig to examine its stress/strain…

A: Sample diameter, d=6 inchesSample original length, L=12 inchesCompression load, P=10000 lbfReduction…

Q: A steel rod with a cross-sectional area of 0.20 in is stretched between two fixed points. The…

Q: Find stress of a aluminum cylinder of diameter 12.8mm and gauge length 50.8mm. The force applied is…

Q: 2. An elastic rod of 25mm in diameter, 200mm long extends by 0.25mm under a tensile load of 40KN.…

Q: AB and CD caps of the same material are tightly fitted on both ends of the 24 mm diameter AD steel…

A: Given: E = 200 GPa LAB = 48 mm LBC = 72 mm LCD = 48 mm DAB = 36 mm…

Q: Example 7 A steel bar of cross-sectional area 200 mm2 is loaded as shown in Fig. Find the change in…

Q: If Young's modulus of some material is 150 GPa and shear modulus is 50 GPa, find the poisson's ratio…

A: Given, Young's modulus = E = 150 GPa Shear modulus = G = 50 GPa Let us consider, Poisson's ratio…

Q: Two carbon steel balls, each 30 mm in diameter, are pressed together by a force F. In terms of the…

Q: a. A metal thickness 16mm and having a rectangular cross-section carries a load of 60KN. Find the…

Q: At a point in a given material the three dimensional state stress is given by ox = oy = oz = 10 MPa…

Q: A rod 150 cm long and diameter 2.0 cm is subjected to an axial pull of 20 kN. If modulus of…

A: As per given question Given data Rod length =150cm Diameters =2.0cm Axial pull =20 kn Modulus of…

Q: A material having a shear modulus G, is deformed under a pure shear stress as shown in the following…

Q: In the figure, an object that has flexible rectangular parallelepiped shape with side dimensions of…

Q: An eye bolt carries a tensile load of 2000 kg. Find the size of the bolt, if the tensile stress is…

A: The tension is defined by the following: "The force of a string,…

Q: A structure, which cross-section is S= 100 mm², is submitted to a tension of 1kN. What is the…

Q: The length of a wire increases from 1.25 m to 1.2508 m when a load of 12 kg is suspended. The radius…

Q: Two bars of different materials and same size are subjected to the same tensile force. If the bars…

Q: A rectangular (3" x 5") rod has an axial (tension) load applied, P, of 300,000 lbs. The diameter of…

Q: A plastic bar of 53 mm is to be twisted by torques T until the angle of rotation between the ends of…

Q: A bar of size 3m long, 250 mm wide and 150 mm thick is subjected to pull of 50 kN. Find change in…

A: Given data as per question Length of bar=3mwidth of bar=250mmthickness=150mmPulling force =50…

Q: A rubber block with dimensions 120x120x120 mm is a rigid mold It is compressed with a vertical force…

A: Given data: The dimensions of the rubber block are 120 mm×120 mm×120 mm. The vertical force acting…

Q: A rod is 2 m long at a temperature of 10 °C. Find the expansion of the rod, when the temperature is…

A: Given data ,Length of the rod L=2m=2000 mmInitial temperature=10°CFinal temperature=80°C…

Q: Example :- The engine has a capacity of 250 milliliters per cylinder and the length of the axle arm…

Q: Q.1 A 2 m solid steel bar of diameter 100 mm is subjected to a axial tensile load of 100 kN. Find…

A: Given: The diameter of the shaft is, d=100 mm. The length of the steel shaft is, l=2 m. The value…

Q: A -in-diameter steel tension rod is 5 ft long and carries a load of 15 kip. Find the tensile stress,…

Q: A one mm diameter steel wire is wounded around a copper tube with external and internal diameters of…

A: Given: The diameter of wore, d = 1 mm The external diameter of tube, Do = 140 mm The internal…

Q: If the length and diameter of a material is 25 cm and 10 mm respectively. Then find the elongation…

A: Given : load, W =750*103N length, L=250mm diameter,d =10mm Area,A =π/4*d2 =78.53 mm2 young modulus ,…

Q: In constructing a large mobile, Jude hangs an aluminum sphere of mass 6.0kg from a vertical steel…

Q: A 3/4 -in-diameter steel tension rod is 6 ft long and carries a load of 15 kip. Find the tensile…

A: Given data: Diameter of rod = 0.75 inch = 0.01905 m Length of rod = 6 ft = 6 x 12 = 72 inch =…

Q: Find the maximum value of P that will not exceed a stress in steel of 113 MPa, in aluminum of 91 000…

A: Given data Limiting stress in steel (σallow)st = 113 MPa Limiting stress in aluminum (σallow)al =…

Q: A steel rod, 2 m long and 20 mm × 20 mm in cross section, is subjected to a tensile force of 40 kN.…

A: Given, Length of the rod = L = 2 m = 2000 mm Cross sectional area = A = 20 mm x 20 mm = 400 mm2…

Q: A 1 m length bar of square cross section with side length 2cm, . is fully supported at one end and…

Q: A hollow copper pipe undergoes a 1% change in length under a tensile load. If the Young’s modulus of…

A: We have been given the following data:The percentage change in length of the hollow copper pipe,…

Q: The steel bar with a circular cross section of 14 mm diameter and 22 cm length, produced from a…

Q: A hollow steel cylinder (length l=300mm) inside diameter d=150mm wall thickness t=3mm is filled with…

A: Length (l) = 300 mm Inside diameter (di) = 150 mm Outside diameter (do) = 156 mm Load ( P ) = 500…

Q: A bar is subjected to fluctuating tensile load from 20 kN to 100 kN .The material has yield strength…

A: Given: The fluctuating tensile load in a bar,P1=20 kNP2=100 kNσyt=240 MPaσe=160 MPaFactor of safety,…

Q: A bronze bar 3 m long with a cross sectional area of 320 mm 2 is placed between two rigid walls. At…

A: Given: Length of bar, L = 3m Area of cross-section; A = 320mm2 Initial temp.; T =20oC Compressive…

Q: A closely coiled helical spring is made of 6 mm diameter steel wire, the mean diameter of the coil…

A: Given: axial load = 529 N coil mean diameter = 60 mm wire diameter = 6 mm

Q: For the rigid beam , find stresses in the two suspended rods to the applied load and an in change in…

Q: A circular rod of diameter 8 mm and 300 mm long is subjected to a tensile force 20 kN. Take E =…

A: Given data:

Q: A rubber block with dimensions of 120x120x120 mm is compressed in a rigid mold cavity with a…

Q: A rubber block with dimensions 120x120x120 mm is a rigid mold It is compressed with a vertical force…

A: Consider the diagram shown below for the given block.

Q: In constructing a large mobile, Jude hangs an aluminum sphere of mass 6.0kg from a vertical steel…

A: Using condition of equilibrium to calculate the tension in wires,

Q: A steel Column is 10m long and Ø1.2m. It carries a load of 102MN. Given the modulus of Elasticity is…

A: Given Length of column 'l'=10mDiameter of column 'ϕ'=1.2mLoad carried of column 'P'=102MN…

Concept explainers

Thermal Properties of Materials

In mechanical engineering, the thermal property is represented as the physical quantity that is relevant to the application of heat. The thermal properties are evaluated by variations in any specific material due to low heat or high heat. The quantities that influence the thermal property of the materials are mass, density, temperature, and many others.

Question

100%

A circular rod of diameter 16 mm and 500 mm long is subjected to a tensile force 40kN. The modulus of elasticity for steel may be taken as 200 kN/mm². Find stress, strain and elongation of the bar due to applied load.

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

Answer:

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Types of Properties of Engineering Materials

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 brass plate with a modulus of elastici ty E = 16 X 106 psi and Poisson’s ratio a = 0.34 is loaded in biaxial stress by normal stresses r and cry. (sec figure). A strain gage is bonded to the plate at an angle 4 = 350 If the stress o is 10,700 psi and the strain means used by the gageise = 390 X 106.whatisthcmax- imum in-plane shear stress (Tr, ),. and shear strain (>‘ ).? What is the maximum shear strain (y ) in the x-: plane? What is the maximum shear strain (y ).. in the y-r plane?
A rubber ball (sec figure) is inflated to a pressure of 65 kPa. At that pressure, the diameter of the ball is 240 mm and the wall thickness is 1.25 mm. The rubber has a modulus of elasticity E = 3,7 MPa and Poisson's ratio v = 0.48. (a) Determine the maximum stress and strain in the ball, (b) If the strain must be limited to 0.425, Find the minimum required wall thickness of the ball.
A uniform bar AB of weight W = 25 N is supported by two springs, as shown in the figure. The spring on the left has a stiffness k[= 300 N/m and natural length Lt=250 mm. The corresponding quantities for the spring on the right are k2= 400 N/m and L^ = 200 mm. The distance between the springs is L = 350 mm, and the spring on the right is suspended from a support that is a distance it = SO mm below the point of support for the spring on the left. Neglect the weight of the springs. (a) At what distance x from the left-hand spring (figure part a) should a load P = 18 N be placed in order to bring the bar to a horizontal position? (b) If P is now removed, what new value of k{is required so that the bar (figure part a) will hang in a horizontal position underweight If? (c) If P is removed and kt= 300 N/m. what distance b should spring ktbe moved to the right so that the bar (figure part a) will hang in a horizontal position under weight II"? (d) If the spring on the left is now replaced by two springs in series (kt= 300 N/m, kt) with overall natural length Lt= 250 mm (see figure part b). what value of k; is required so that the bar will hang in a horizontal position under weight IF?
(a) Solve part (a) of the preceding problem if the pressure is 8.5 psi, the diameter is 10 in., the wall thickness is 0,05 in., the modulus of elasticity is 200 psi, and Poisson's ratio is 0.48. (b) If the strain must be limited to 1.01, find the maximum acceptable inflation pressure
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.
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?
Solve the preceding problem if the cube is granite (E = 80 GPa, v = 0.25) with dimensions E = 89 mm and compressive strains E = 690 X l0-6 and = = 255 X 10-6. For part (c) of Problem 7.6-5. find the maximum value of cr when the change in volume must be limited to 0.11%. For part. find the required value of when the strain energy must be 33 J.
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?
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.
1. A force P = 27 kN acts on a round bar with d = 50 mm, find the stress in KPa. 2. The piston rod of a steam engine is 70mm in radius and 400 mm long. The radiusof the piston is 200mm and the maximum steam pressure is 2 N/mm2. Find thecompression of the piston rod if the young's modulus for the material of the pistonrod is 250 kN/mm2.
Find the length of elongation of a uniform mild steel rod length of 3 m, cross-sectional area of 150 cm2 and Young's modulus of 100 GPa subjected to an axial tensile (or compressive) force F= 200 N.
A steel bar having 65mm*65mm*3000mm dimension is subjected to an axial force of 128 kN. Taking E=2*105N/mm2 and m = 0.3, find out Change in dimensions (height, width and length), Change in volume and Volumetric Strain