Gage facter = 2.08 R = 120 n Work Sheet Gage Initial Reading Final Reading Strain 1 5,000 2 1545 1053 100g 3 sooo 1010
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Gage facter = 2.08 R = 120 n Work Sheet Gage Initial Reading Final Reading Strain 1 5,000 2 1545 1053 100g 3 sooo 1010
Work Sheet Gage Initial Reading Final Reading Strain 1 5,000 2 1545 1053 100g 3 sooo 1010 1207 2555 2260 2005 4 2,000 The strain indicated by gage # 4 can be corrected for gage factor by the following relationship: Corrected € 4 = 2,000 x (gage factor setting of instrument/gage factor of gage #4) The result of this calculation is the nominal strain at sections A and B of the beam, and should be entered in the worksheet. The following are the data necessary for the calculation of stress concentration factor: R = Radius of the hole 0.125 in. X1 = Distance between the center of the hole and gage #1 = 0.145 in. 0.185 in. X2 = Distance between the center of the hole and gage # 2 X3 = Distance between the center of the hole and gage #3 0.325 in. Correction of € 4 for gage factor: Corrected 8 4 =84 = 2,000 x Gage factor setting of Instrument/gage factor of gage #4 &1 = 2,000 x ( )/()=u& Maximum strain at the edge of the hole: &q=A+B+C Page 51 7 +
In order to calculate this strain we have to find the coefficients A, B and C first. Computation of coefficients for extrapolation: C = 5.86 (81 - 82) - 5.44 (82 - 83) C= B = 3.49 (& - 82) - 1.20 C B= A=€ 1 -0.743 B - 0.552 C A= Maximum strain at the edge of the hole: 80=A+B+C &o=( )+()+() 80 Stress Concentration factor: K={,/84 K=80/) K= f
Report: Using the formulas above, calculate the stress concentration factor, K Plot the strains & o, & 19€ 2 and € 3 versus the corresponding dimensionless distance X/R to visualize the stress distribution in the vicinity of the hole. Note that for & o, R/X = 1 at the edge of the hole. 4,000 3,000 Strain 2,000 1,000 1 2 3 0 Edge of hole 3 2 x/R Page 6 7 @ +