A solid 20-mm-diameter shaft is subjected to an axial load P. The shaft is made of aluminum [E = 70 GPa; v=0.33]. A strain gage is mounted on the shaft at the orientation shown in Fig. P13.77. (a) If P= 18.5 kN, determine the strain reading that would be expected from the gage. (b) If the gage indicates a strain value of ε = 950 ue, determine the axial force P applied to the shaft.

A solid 20-mm-diameter shaft is subjected to an axial load P. The shaft is made of aluminum [E = 70 GPa; v=0.33]. A strain gage is mounted on the shaft at the orientation shown in Fig. P13.77. (a) If P= 18.5 kN, determine the strain reading that would be expected from the gage. (b) If the gage indicates a strain value of ε = 950 ue, determine the axial force P applied to the shaft.

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 7.6.13P: A solid spherical ball of magnesium alloy (E = 6.5 × l0-6 psi, v = 0.35) is lowered into the ocean...

See similar textbooks

Similar questions

Question-2: A solid 20-mm-diameter shaft is subjected to an axial load P. The shaft is made of aluminum [E = 70 GPa; v= 0.33]. A strain gage is mounted on the shaft at the orientation shown in Fig. P13.77. (a) If P = 18.5 kN, determine the strain reading that would be expected from the gage. (b) If the gage indicates a strain value of e= 950 uE, determine the axial force P applied to the shaft.
The strain components, ex= 940 micro strain, ey= -360 micro strain and yxy=830micro strain are given for a point in body subjected to plane strain. Determine; a. Magnitude of the principal strains b. The direction of the principal strain axes c. The maximum in-plane shear strain. Confirm your answer by means of Mohr's circle of strain and determine the linear strain on an axis inclined at 20 degrees clockwise to the direction of ey
On the free surface of a component, a strain rosette was used to obtain the following normal strain data: €a = 300µɛ, ɛp = 400µs, and Ec = 200µe. Calculate the normal and shear strains in the x-y plane.
PROPAGATION OF ERRORS Determine the range of values to which the strain will be calculated.F = 150000 +/- 150 lbfSide length = 1.2 +/- 0.025 inModulus of Elasticity = 25000 +/- 11.5 ksiDetermine the relative error. Is it above or below the accepted 5% relative error?
A rigid steel bar is supported by three rods, as shown. There is no strain in the rods before the load Pis applied. After load P is applied, the normal strain in rod (2) is 840 pin./in. Assume initial rod lengths of L1 = 120 in. and L2 = 71 in. Determine (a) the normal strain in rods (1). (b) the normal strain in rods (1) if there is a 0.032 in. gap in the connections between the rigid bar and rods (1) at joints A and C before the load is applied. (c) the normal strain in rods (1) if there is a 0.032 in. gap in the connection between the rigid bar and rod (2) at joint B before the load is applied. (1) (2) Rigid bar Answers: (a) E1 = i pin./in. (b) E1 = pin./in. (c) Ɛ1 = i pin./in.
Question 3: Please refer to the metal bar and its cross-section shown below. Two strain gages a and and b are attached to the bar as shown; note that 3 is the angle of their orientation with the x-axis. Assume: the Young's modulus of the metal = 16, 500 ksi; the Poisson's ratio of the metal = 0.33; P, = 13 kips; P, = 20 kips; d = 4.0 in.; t = 0.75 in.; L = 18 in.; and B = 40°. Determine the strains expected in the strain gages. 가 2 B b a H Ps N H y d
Determine the elastic tensile load "F" that acts on mild steel specimen of Diameter 9 mm & Modulus of Elasticity 201 GPa. It is found that the specimen has undergone an extension of 1 mm due to the elastic load "F". Also, determine the length "L" of the specimen, if the strain- induced due to the load "F" on the specimen is 3.6 x 10-³. Solution Cross-sectional Area, A (in mm²) = 63.617 One possible correct answer is: 63.617251235193 Tensile Stress, (in N/mm²) 723.6 One possible correct answer is: 723.6 Tensile Load, (in N) = = 46033.261 One possible correct answer is: 46033.442993786 Length of the Specimen (in mm) 4.366 X One possible correct answer is: 277.77777777778
0.5% B Y S2 0.5Y each graduation is 5 micron The minimum principal strain is:
Determine the elastic tensile load "F" that acts on mild steel specimen of Diameter 5 mm & Modulus of Elasticity 207 GPa. It is found that the specimen has undergone an extension of 1.2 mm due to the elastic load "F". Also, determine the length "L" of the specimen, if the strain-induced due to the load "F" on the specimen is 3 x 10-³. Solution Cross-sectional Area, A (in mm²) = Tensile Stress, (in N/mm²) = Tensile Load, (in N) = Length of the Specimen (in mm)
A steel thick cylinder of external diameter 150 mm has two strain gauges fixed externally, one along the longitudinal axis and the other at right angles to read the hoop strain. The cylinder is subjected to an internal pressure of 75 MPa and this causes the following strains: (a) hoop gauge: 455 x 106 mm/mm tensile; (b) longitudinal gauge: 124 x 10 mm/mm tensile. Find the internal diameter of the cylinder assuming that Young's modulus for steel is 208 GPa and Poisson's ratio is 0.283.
A strain gauges system mounted at a point on a structural member that is subjected to multiaxial stress, where we have the following readings: Ex = 3.8 x104; &y = 5.5 x10-5; Ez = - 7.5 x10-5; Yy = 9.1 x104; %3D Determine the stress components if the member is made of an isotropic material with linear elastic behavior having the following elastic properties: Young's modulus E = 200 Gpa and Poisson's ratio v = 0.3; Select one: Ох %3D -100 Мра; оу %3D -50 Мра; о, %3D 30 Мра; Тху 3D 70 Мра; Ox = -75 Mpa; o, = -50 Mpa; 0z = 40 Mpa; Ty = 80 Mpa3; Oy = 300 Mpa; oy = -150 Mpa; 0z 3 100 Мра;B тyу = 100 Mpa; TOSHIBA
A material is subjected to the following strain system,ex=200x10-6, ey=-56x10-6,yxy=230x10-6. Using graphical method, determine A. The principal strains B. The directions of principal strain axes C. The linear strain on an axis inclined at 50o counter clockwise to the direction of ex Given that young's modulus for the material is 207GN/m2 and the poisson's ratio is 0.27, determine the principal stresses