In our previous topic regarding strain, repeat the problem on the strain using the following parameters: F = 150000 +/- 150 lbf Side length = 1.2 +/- 0.025 in Modulus of Elasticity = 25000 +/- 11.5 ksi Determine the relative error. Is it above or below the accepted 5% error?
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In our previous topic regarding strain, repeat the problem on the strain using the
following parameters:
F = 150000 +/- 150 lbf
Side length = 1.2 +/- 0.025 in
Modulus of Elasticity = 25000 +/- 11.5 ksi
Determine the relative error. Is it above or below the accepted 5% error?
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Solved in 4 steps
- Table B2: Stress-strain data for uniaxial compression test on Sample Normal stress Uniaxial strain (%) Lateral strain (%) (MPa) 0.0 0.0000 0.0000 5.0 0.0319 -0.0150 10.0 0.0720 -0.0275 15.0 0.1025 -0.0425 20.0 0.1450 -0.0600 25.0 0.1755 -0.0725 30.0 0.2150 -0.0875 35.0 0.2455 -0.1025 41.0 0.2815 -0.1125 46.0 0.3125 -0.1209 52.0 0.3515 -0.1285 58.0 0.4000 -0.1325 (f) Based on the plotted curve, calculate the average/tangent Young's modulus and Poisson's ratio for this sample, at 50 % UCS?A 11 in. inner diameter, 0.35 " wall thickness pipe is under a pressure of 2.5 ksi where strain gages installed along axial and circumferential directions register strains of 180 and 900 micro-strains (x10^-6), respectively. A) What is the Poisson's Ratio of this material and it's Elastic Modulus? B) In a uniaxial test, the pipe's material is observed to yield at a longitudinal strain of 0.1 in/in. Assuming a factor of safety of 2, the pipe can withstand impact energy of _______ lb - in per foot without suffering permanent deformation. C) If the pipe is depressurized and then subjected to a torque of 50 lblb - ft.ft., it will experience a shear strain of ________ rad.A 11 in. inner diameter, 0.35 " wall thickness pipe is under a pressure of 2.5 ksi where strain gages installed along axial and circumferential directions register strains of 180 and 900 micro-strains (x10^-6), respectively. A) What is the Poisson's Ratio of this material and it's Elastic Modulus? B) In a uniaxial test, the pipe's material is observed to yield at a longitudinal strain of 0.1 in/in.in/in. Assuming a factor of safety of 2, the pipe can withstand impact energy of _______ lblb - in.in. per foot without suffering permanent deformation. C) If the pipe is depressurized and then subjected to a torque of 50 lblb - ft.ft., it will experience a shear strain of ________ rad.
- Example 1: (i) Find the compatibility condition for the strain tensor e; if e1 , e22 , e12 are independent of x3 and e31 = e32 = e33 = 0. (ii) Find the condition under which the following are possible strain components. eii = k(x,? – x2), e12 = k' x1 x2 , e22 = k x1 X2 , %3D e31 = e32 = e33 = 0, k & k' are constants (iii) when eij given above are possible strain components corresponding displacements , given that u; = 0. find theThe relationship between true strain (ɛ-) and engineering strain (ɛ) in a uniaxial tension test is given as (a) & = In (1 + &7) (c) &7= In (1+ E) (b) ɛg = In (1- E) (d)= in (1- E) %3D %3DPROPAGATION 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?
- Problem :- The following data was obtained tensile test on a specimen of 6 mm diameter and gauge length Lo=30 mm: load(KN) 0 40 80 95 90 135 150.2 145 130 120 elongation(mm) 0 0.022 0.13 0.25 0.55 2.01 3.88 4.12 5.22 6 Plot engineering and True (stress-strain) curves, then determine the (oy, ɛy), (ou, ɛu), (of, , ef), ductility, modulus of elasticity. Then select on the drawing ((strain hardening (n)) , (Necking), (uniform plastic region and non-uniform plastic region) and (elastic & plastic) region)?Force applied to a circular cantilever beam is estimated from the strain-gage read-out and measurements of beam dimensions. The readout of the strain-gage sensor is 3.40V. The length and diameter of beam were measured by a caliper which has a resolution of 0.01 in. Five measurements were made for both the length (mean=11.96", STD=0.05") and diameter (mean=1.05, STD=0.02"), respectively. The caliper has a resolution of 0.01 in. The measurements took place at a room temperature (20 °C). (a) What is the sensitivity of the sensor? (b) Find the uncertainty of the applied force (o = 32FI/3, c=95%) (c) Which measurement contributes the largest uncertainty? Voltmeter Strain-gage Resolution 0.01V Input 0-100ksi Excitation 15VDC Output 0-5V Linearity +4mv/ksi Hysteresis +0.4% of FS Thermal +0.3mv/°CA specimen with cylindrical shape was subjected to tensile test. Please plot the stress vs. strain curve for the specimen and calculate Young's modulus. Diameter of test specimen, do = 11.600 mm Length of test specimen, lo = 50.500 mm Load vs. elongation data for the test specimen Load (N) Length (mm) 7.150 50.594 14.840 50.768 22.760 50.942 30.220 51.116 33.980 51.290 37.900 51.464 41.120 51.892 44.220 52.320 45.540 52.748 47.120 53.684 46.760 54.620 45.280 55.550 44.620 56.238 41.700 56.920 36.220 57.602
- The plane stress displacement field for the pure bending problem was given by u = - El v = (vy? + x² - P), where -1A tension test was performed on an aluminum 2014- T6 alloy specimen. The resulting stress-strain diagram is shown in the figure. Estimate (a) the proportional limit, (b) the modulus of elasticity, and (c) the yield strength based on a 0.2% strain offset method. a (MPa) 420 350 280 210 140 70 (mm/mm) 0.06 0.02 0.002 0.08 0.008 004 0.10 0.004 0.006 0.010A metal rod of initial length L, is subjected to a drawing process. The length of the rod at any instant is given by the expression, L(t) = Lo(1 + t2), where tis the time in minutes. The true strain %3D rate (in min-1) at the end of one minute isSEE MORE QUESTIONS