Let's consider a rod having a solid circular cross-section with diameter of 4 mm and it is made of a material having a Young's modulus E200 Gpa and a Poisson's ratio of03 3.995 mm determine the applied force F.

Let's consider a rod having a solid circular cross-section with diameter of 4 mm and it is made of a material having a Young's modulus E200 Gpa and a Poisson's ratio of03 3.995 mm determine the applied force F.

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: 6. The diameter of a piston of the steam engine is 300 mm and the maximum steam pressure is 0.7…

A: Dear student as per the policy i can solve one question for you request you to please post the other…

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

Q: Q2: Steel railroad reels 10 m long are laid with a clearance of 3 mm at a temperature of 15°C. At…

Q: et's consider a rod having a solid circular cross-section with diameter of 4 mm and it is made of a…

Q: Let's consider a rod having a solid circular cross-section with diameter of 6 mm and it is made of a…

Q: Let's consider a rod having a solid circular cross-section with diameter of 5 mm and it is made of a…

A: Given: The initial diameter of the rod is d=5 mm. The Young's modulus of material is E=120 MPa. The…

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: Let's consider a rod having a solid circular cross-section with diameter of 4 mm and it is made of a…

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

A: To find: The maximum force that bar can sustain elastically. Given: The length of the bar is l=1 m.…

Q: Steel railroad reels 10 m long are laid with a clearance of 3 mm at a temperature of 15°C. At what…

A: Given in question:Clearance, C=3 mmTemperature, T=15o CLength of rail, L=10 mE=200 GPaα=11.7 μm/m oC

Q: Let's consider a rod having a solid circular cross-section with diameter of 6 mm and it is made of a…

Q: A bronze bar is fastened between a steel bar and aluminum bar as shown. Find the largest value of P…

Q: steel rod: 0 24 mm 0.4 m 3 m Figure 1.23 A rectangular column of sides 0.4m x 0.35m, made of…

Q: Let's consider a rod having a solid circular cross-section with diameter of 6 mm and it is made of a…

Q: A horizontal aluminum rod 4.8 cm in diameter projects 5.3 cm from a wall. A 1200 kg object is…

A: Given: Rod diameter=4.8 cm Rod length L=5.3 cm Mass m=1200 kg G=3×1010…

Q: 2. A hollow cylinder 2 m long has an outside diameter of 50mm and inside diameter of 30mm. If the…

Q: 2. An aluminum rod is 1.5 m long. For aluminum, Young's Modulus is E = 70 GPa. An axial force of 3…

Q: A steel hoop, 10 mm thick and 80 mm wide, with inside diameter 1500.0 mm, is heated and shrunk onto…

Q: Let's consider a rod subjected to the shown axial forces. If we consider a linear elastic behavior,…

Q: Let's consider a rod having a solid circular cross-section with diameter of 4 mm and it is made of a…

Q: A 1.40 m long steel circular bar is acted upon by forces as shown in fig below. determine the total…

A: To find: The total elongation of the bar. Given: The length of steel bar is Ls=40 cm. The length of…

Q: A steel circular tube is subjected to torsion by torques T applied at the ends as shown below. The…

A: This problem is related to the torsion of the shaft. torsion, when the twisting moment is applied to…

Q: 1. A rectangular plate 50 mm x 10 mm with a hole 10 mm diameter is subjected to an axial load of 10…

A: Permissible stress is stress which produces due to pressure or forces which does not exceed the…

Q: A 1 meter long and 20 cm out diameter and 10 com HOLLOW steel drive shaft for a boat transmits…

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: 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 cross-sectioned rod (5*5cm) was subjected to a compressino force (F=500 103 N), so the resulting…

Q: Four steel bars jointly support a mass of 25 x 103 kg. Initially the temperature is 250C. Bars A and…

A: h = 800 mm m = 25000 kg T1 = 25 oC T2 = 60 oC Cross-sectional area of A = Cross-sectional Area of D…

Q: A reinforced concrete column is constructed of 12 1-in-diameter steel rods. Calculate the force…

Q: 3. A wrought iron rod is under a compressive load of 350 kN. If the permissible stress for the…

A: We are suppose to solve only one question. Please post other question as a separate question. For…

Q: A hollow cylinder 2 m long has an outside diameter of 50 mm and inside diameter of 30 mm. If the…

A: According to Hooke's Law, Stress is directly proportional to the strain up to a certain point. After…

Q: Let's consider a rod having a solid circular cross-section with diameter of 5 mm and it is made of a…

A: Given:- Diameter of rod: d =5 mm Young's modulus: E=120 GPa Poisson's ratio: μ=0.33 new diameter:…

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: determine the applied force F.

Q: A rectangular elastic plate ABCD is subjected to a biaxial loading of Oyx- 150 MPa and o-100 MPa.…

A: Given Stress in x direction = 150 MPa Stress in y direction = 100 MPa Young's modulus, E = 200…

Q: with a stress of 52.89 and diameter of 4cm and thickness of 2mm (P) load of 2MPa how was the…

Q: Let's consider a rod having a solid circular cross-section with diameter of 5 mm and it is made of a…

A: poisson's ratio is the ratio of lateral strain to longitudinal strain.

Q: The diameter of a piston of the steam engine is 300 mm and the maximum steam pressure is 0.7 N/mm2.…

A: Given:Diameter of piston,DPISTON=300mmPSTEAM=0.7Nmm2Compressive stress,σ=40Nmm2Net force by piston…

Q: A steel punch having diameter 10 mm is used to make hole in a 2.5cm thick steel plate. What will be…

Q: Let's consider a solid circular rod having a diameter D = 30 mm subjected to a triangular…

A: Given: The diameter of rod, D = 30 mm The elastic modulus, E = 4 GPa The intensity of load…

Q: A machine component made of a ductile material is subjected to a variable loading with min = - 50…

Q: A steel rod having a cross - sectional area of 300 mm- and length of 15 m is suspended vertically…

A: Given:Area, A=300 mm2Length, l=15 m or 15000 mmLoad, P=30 kN or 30000 NY=200 GPa or 200×1000 MPa

Q: A bronze tire (thickness=12mm, width= 110 mm, internal diameter=800 mm) was heated and shrunk onto…

Q: An enormous and expensive artwork with mass 42.8 kg is mounted on a wall with four heavy-duty steel…

A: To find: The shear stress on the bolts and the resulting vertical deflection of the bolts. Given:…

Q: An axial pull is acting on a bar consisting of two different materials is shown in figure.If the…

Q: An iron column of annular cross section has an outer diameter of 200mm and is subjected to a force…

Q: A steel pipe is part of a drilling rig to build foundation piles The outer d 2 is equal to 6 in and…

A: To obtain the magnitude of the shear force on the various fibers of the beam, we must use the pure…

Q: The steel pipe is filled with concrete is subjected to a compressive force of 80 kN. The pipe has an…

Q: 3. The ram of a hydraulic press 200 mm internal diameter is subjected to an internal pressure of…

A: This problem is related to the thin cylinder vessels. a cylindrical vessel or shell may be thin or…

Q: A solid circular bar of steel (G = 78 GPa)transmits a torque T = 360 N ? m. The allowablestresses in…

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

Mechanics of materials I

Let's consider a rod having a solid circular cross-section with diameter of 4 mm and it is made of a material having a Young's modulus E - 200 Gpa and a Poisson's ratio of 0.3. if
tensile force F is subjected to that rod cross-section, the diameter becomes 3.995 mm. determine the applied force F.

Branch of science that deals with the stationary and moving bodies under the influence of forces.

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

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) 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 wine of length L = 4 ft and diameter d = 0.125 in. is stretched by tensile forces P = 600 lb. The wire is made of a copper alloy having a stress-strain relationship that may be described mathematically by =18,0001+30000.03(=ksi) in which is nondimensional and has units of kips per square inch (ksi). (a) Construct a stress-strain diagram for the material. (bj Determine the elongation, of the wire due to the Forces P. (c) IF the forces are removed, what is the permanent set of the bar? (d) If the forces are applied again, what is the proportional limit?
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 copper rod of length L = 18.0 in. is to be twisted by torques T (see figure) until the angle of rotation between the ends of the rod is 3.0°. (a) If the allowable shear strain in the copper is 0.0006 rad, what is the maximum permissible diameter of the rod? (b) If the rod diameter is 0.5 in., what is the minimum permissible length of the rod?
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 two-story building has steel columns AB in the first floor and BC in the second floor, as shown in the figure. The roof load P:equals 400 KN, and the second-floor load P-, equals 720 kN. Each column has a length L = 3.75 m. The cross-sectional areas of the first- and second-floor columns are 11,000 mm" and 3900 mm", respectively. (a) Assuming that E = 206 GPa. determine the total shortenings aof the two columns due to the combined action of the loads Ptand P,. (b) How much additional load P0can be placed at t he top of t he column (point C) if t he total shortening: SACis not to exceed 4.0 mm?
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?
Two bars AC and BC of the same material support a vertical load P (see figure). The length L of the horizontal bar is fixed, but the angle fl can be varied by moving support A vertically and changing the length of bar AC to correspond with the new position of support A. The allowable stresses in the bars are the same in tension and compression. When the angle ft is reduced, bar AC becomes shorter, but the cross-sectional areas of both bars increase because the axial forces are larger. The opposite effects occur if the angle 0 is increased. Thus, the weight of the structure (which is proportional to the volume) depends upon the angle ft. Determine the angle ft so that the structure has minimum weight without exceeding the allowable stresses in the bars. Note: The weights of the bars are very small compared to the force P and may be disregarded.
A circular tube AB is fixed at one end and free at the other. The tube is subjected to concentrated torques as shown in the figure. If the outer radius of the tube is 1.5 in, and the thickness is 3/4 in., calculate the strain energy stored in the tube. Let G= 11,800 ksi.
A spherical balloon is filled with a gas. The outer diameter of the balloon is 20 in. and the thickness is 0,012 in. Calculate the maximum permissible pressure in the balloon if the allowable tensile stress and the allowable shear stress in the balloon are 1 ksi and 0.3 ksi, respectively.
A circular copper bar with diameter d = 3 in. is subjected to torques T = 30 kip-in. at its ends. Find i lie maximum shear, ion si le. and compressive stresses in the tube and their corresponding strains. Assume that G = 6000 ksi.
A steel wire AB is stretched between rigid supports (see figure). The initial priestess in the wire is 42 MPa when the temperature is 20°C. (a) What is the stress cr in the wire when the temperature drops to 0°C? (b) At what temperature Twill the stress in the wire become zero? (Assume d = 14 X 10 FC and E = 200 GPa)