(B) – Figure Q4/B show the bone has an outer rac of 15 mm and thickness 3 mm. Determine the strains in the x and ỹ direction if a torque T = 100 N.m is applied to the bone which have modulus of elasticity 2400 Mpa and 0.35 Poisson ratio %3D VT Figure Q4/B

(B) – Figure Q4/B show the bone has an outer rac of 15 mm and thickness 3 mm. Determine the strains in the x and ỹ direction if a torque T = 100 N.m is applied to the bone which have modulus of elasticity 2400 Mpa and 0.35 Poisson ratio %3D VT Figure Q4/B

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter7: Analysis Of Stress And Strain

Section: Chapter Questions

Problem 7.6.6P: Solve the preceding problem if the cube is granite (E = 80 GPa, v = 0.25) with dimensions E = 89 mm...

See similar textbooks

Related questions

Q: 1. A steel rod 500mm long and 20mm× 10mm in cross-section is subjected to axial pull of 300 KN.If…

Q: 2. An Al alloy rod with 300 mm length and 10 mm in diameter is subjected to 5 x 10° N force at one…

Q: A steel bar of square section is subjected to an axial compressive load of 100 kN. Under this load,…

Q: Q3) The rigid bar ABCD is supported by bars (1) and (2). After load P is applied, the normal strain…

A: Given that, The strain in bar 1, ε1=20 μm/m, The deflection in bar 1 is, Strain in bar 1 is given…

Q: The cylindrical rod BC, diameter 3.6 mm made of steel supports the AD bar with a distribution of…

A: Given data dBC=3.6mm E=200 GPa

Q: Find the tensile stress in the rod having a diameter of 25 mm subjected to a tensile load of 500 N.…

A: Given, Diameter of rod = d = 25 mm Tensile load = P = 500 N Young's modulus = E = 200 GPa = 200 x…

Q: A part is subjected to uniaxial compression stress of 40 MPa in the x- direction ( -40MPA). If the…

Q: 1. Label all points of significance on the stress strain curve 2. Draw the stress-strain curve for…

A: **According to the guidelines we can answer only three sub parts of a question, please resubmit the…

Q: A mild steel specimen of circular cross-section of length 36.06 mm is subjected to a maximum tensile…

A: Given data Length of specimen (L) = 36.06 mm Maximum Tensile force (Fmax) = 49.93 kN Ultimate…

Q: PROBLEM 1 A circular aluminum tube of L=600mm is loaded in by compressive forces at its ends. The…

A: Given:L=600 mmD=75 mmd=63 mmE=73 GPaμ=0.33 According to Bartleyby's policy we can answer only one…

Q: A circular tube is subjected to torsion by torques T applied at the ends. The bar is 0.75 m long and…

A: The length of the bar is, L=0.75 m The inside diameter of the bar is, d=35 mm The outside diameter…

Q: The data shown in the accompanying table are From a tensile test of high-strength steel. The test…

Q: A bar produces a lateral strain of -70 × 10-5 when subjected to tensile stress of magnitude 400 MPa…

A: Given, Lateral strain = εl = -70 x 10-5 Tensile axial stress = σ = 400 MPa Poisson's ratio = μ = 0.3…

Q: SEE IMAGES AND FIND ANSWERS... PLEASE

A: Given data as per the question Considering the given diagram and drawing the free body diagram

Q: Q4) In buckling experiment a steel column ( E-210 Gpa) was examined in pin-fixed method. It endured…

A: Givensteel columnE=210…

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

Q: Calculate the percentage elongation of a steel rod, when it is subjected to an axial pulling force…

Q: 4. A cylindrical metal wire 2m long is loaded in tension, causing it to extend 15mm. Calculate the…

A: GivenL=2m∆L=15mm=0.015m

Q: Q5. A material is made in circular rod form of diameter 1.5 cm and 200mm long. It is fixed on the…

Q: A steel (E=30x106 psi) rod 10m long and 5cm in diameter is subjected to a compressive force of…

Q: A rod is subjected to a uni-axial load within linear elastic limit. When the change in the stress is…

A: This question is a very simple and related with the concept of Young's modulus of elasticity and…

Q: The steel (E = 200GPa, v=0.32) vertical post is loaded to the forces as shown in Figure Q1. If the…

Q: 3. Find the equivalent stiffness as shown below. Draw the free body diagram. x10 Nm sx10' N 45 10 Nm

Q: Prob. 2.4-5. A tension specimen (diameter = do = 13 mm, gage length = Lo = 50 mm) was used to obtain…

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: Consider a cylindrical specimen of a steel alloy (see figure below) 15.0 mm in diameter and 75 mm…

A: Given:d=15 mmL=75 mmP=20,000 N

Q: (Q.3) Ni cylindrical specimen having an elastic modulus of 207 GPa and an original diameter of 1.02…

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: A rod is subjected to a uni-axial load within linear elastic limit. When the change in the stress is…

A: Given data: The change in the stress is σ = 200 MPa. The change in the stain is ε = 0.001. The…

Q: Compound axial member ABC has a uniform diameter of d=1.45 in. Segment (1) is an aluminum…

A: Given, A compound axial member made of Aluminum and copper Diameter of the axial member, d=1.45 in.…

Q: A circular tube is subjected to torsion by torques T applied at the ends. The bar is 0.75 m long and…

A: The above question is based on Torsion due to Torque which is applied at the ends.

Q: a) Plot the data belove in as load-elongation curve. b) Plot engineering stress-strain curve. c)…

A: **According to the guidelines we can solve only three sub-parts of a question, please resubmit the…

Q: 9. An initially rectangular element of material is deformed as sh in the figure (deformation shown…

Q: 1. A rod is subjected to a uni-axial load within linear elastic limit. When the change in the stress…

A: Given, Change in stress = Δσ = 200 MPa = 200 x 106 Pa Change in strain = Δε = 0.001 Poisson ratio =…

Q: Two hard rubber blocks with Modulus of Rigidity equal to 350 kPa are used in an anti-vibration mount…

Q: A rod is subjected to a uniaxial load within linear elastic limit. When the change in the stress is…

A: Given data: The change in stress, σ=200 MPa. The change in strain, ε=0.001. The Poisson's ratio,…

Q: B/A cylindrical piece of carbon-steel with dimension of 100 mm length and 10 mm diameter exposed to…

Q: 1.4-7 The data shown in the table below were obtained from a tensile test of high-strength steel.…

A: Only one question can be answered according to the rules. Kindly upload the other question to be…

Q: A rod specimen of ductile cast iron was tested in a torsion-testing machine. The rod diameter was 14…

Q: ILLUSTRATION AND SOLUTION Problem 1: A steel rod with a cross - sectional area of 150 mm2 is…

Q: A steel specimen is subjected to a tensile force of 400 kips. If the Poisson's Ratio is 0.20, and…

Q: a) Calculate the principal strains, given that the state of plane strain for an element is: E =…

Q: The bar shown in the following figure has a diameter of 40 mm and is subjected to a force P = 1500 N…

A: Given:F=500 NP=1500 Nd=40 mmSyt=60MPaI=π64*404 =125663.70 mmStresses acting at point A:The Force…

Q: A rod is subjected to a uniaxial load within linear elastic limit. When the change in the stress is…

A: Given data: The change in stress in the rod is σ = 200 MPa. The change in stain in the rod is ε =…

Q: Q. // (A) - An element of bone in plane strain where the state of strain are (Ex = 8 × 10¬4, €y = 5…

A: GivenEx=8×10-4Ey=5×10-4γxy=12×10-4μ=ν=0.3 E=2×109Nm2

Q: 200 stress 150 (MPa) 100 50 0.1 0-2 strain From the tensile stress-strain behavior for the brass…

Question

(B) – Figure Q4/B show the bone has an outer rac
of 15 mm and thickness 3 mm. Determine the strains
in the x and ỹ direction if a torque T = 100 N.m is
applied to the bone which have modulus of elasticity
2400 Mpa and 0.35 Poisson ratio
%3D
VT
Figure Q4/B

Expert Solution

Step 1

Draw the diagram for the axes given in the problem.

Understand that in the given figure, the shaft is under pure torsion.

Therefore, calculate the value of shear stress in the x-y plane given in the figure by using the formula,

Further solve as,

Step 2

Use the formula to locate the principal plane by using the stresses on x-y plane.

According to the problem, there is no applied stress in x and y directions.

Use the formula for principal stresses to calculate the value of principal stresses.

Step by step

Solved in 3 steps with 10 images

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 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 brass cube of 48 mm on each edge is comp ressed in two perpendicular directions by forces P = 160 kN (see figure). (a) Calculate the change ...IV in the volume of the cube and the strain energy U stored in the cube. assuming E = 100 GPa and i’ = 0.34. (b) Repeat part (a) if the cube is made of an alumim um alloy with E = 73 GPa and v = 0.33.
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.
Two sections of steel drill pipe, joined by bolted flange plates at Ä are being tested to assess the adequacy of both the pipes. In the test, the pipe structure is fixed at A, a concentrated torque of 500 kN - m is applied at x = 0.5 m, and uniformly distributed torque intensity t1= 250 kN m/m is applied on pipe BC. Both pipes have the same inner diameter = 200 mm. Pipe AB has thickness tAB=15 mm, while pipe BC has thickness TBC= 12 mm. Find the maximum shear stress and maximum twist of the pipe and their locations along the pipe. Assume G = 75 GPa.
A slightly tapered bar AB of solid circular crass section and length L is supported at end B and subjected to a tensile load P at the free end A. The diameters of the bar at ends A and B are dAand dB. respectively. Determine the length of the bar if the elongation of the bar due to the load P = 45 kips is 0.02 in. Assume that E = 10,400 ksi.
-7 A steel tube (G = 11.5 x 106 psi) has an outer diameter d2= 2.0 in. and an inner diameter dt=1,5 in. When twisted by a torque 7", the tube develops a maximum normal strain of 170 x 10-6. What is the magnitude of the applied torque T?
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) 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 circular aluminum tube of length L = 600 mm is loaded in compression by forces P (see figure). The outside and inside diameters are d2= 75 mm and d1= 63 mm, respectively. A strain gage is placed on the outside of the lube to measure normal strains in the longitudinal direction. Assume that E = 73 GPa and Poissons ratio is v = 0.33. (a) IF the compressive stress in the tube is 57 MPa, what is the load P? (b) If the measured strain is e = 78 J X 10-6, what is the shortening
A circular steel tube with an outer diameter of 75 mm and inner diameter of 65 mm is subjected to torques 7"at its ends. Calculate the maximum permissible torque 7jliajl if the allowable normal strain is ea= 5 X 10"4 Assume that G = 15 GPa.
A block B is pushed against three springs by a force P (see figure). The middle spring has a stillness K1and the outer springs each have stiffness k^. Initially, the springs are unstressed, and the middle spring is longer than the outer springs (the difference in length is denoted s). (a) Draw a force-displacement diagram with the force P as ordinate and the displacement x of the block as abscissa. (b) From the diagram, determine the strain energy U1 of the springs when x = 2s. (c) Explain why the strain energy E, is not equal to P