At operating stress of 420MPa, the number of cycles to fail a specimen is 65 cycles. At operating stress of 360MPa, the number of cycles to fail the specimen is 390 cycles, and at operating stress of 130MPa, the number of cycles to fail the specimen is 11,900 cycles. A test sequence as follows is designed: first, operating stress of 420MPa for 7 cycles, second, operating stress of 360MPa for 65 cycles, and third, operating stress of 130MPa for 325 cycles. Determine at what number of cycle and which operating stress level the specimen would be expected to fail if the above sequence is repeated.

(d) Following experimental data (TableQ1b) has obtained from the torsion test for the specimen dimension given in Table Q1a. Determine the material of a circular bar. (Take the material Poisson's Ratio as 0.32) Table Q1a Specimen Dimensions Dimensions Material Diameter (mm) 6 Length (mm) 77.15 TableQ1b Experimental Results from Torsion test Angular Deflection Degree Radian Torque/Nm 0.5 0.008727 0.06 1 0.017453 0.47 1.5 0.02618 0.76 2 0.034907 1.01 2.5 0.043633 1.32 3 0.05236 1.65 3.5 0.061087 1.99 4 0.069813 2.32 4.5 0.07854 2.66 5 0.087267 3.00 5.5 0.095993 3.33 6 0.10472 3.64 10 0.174533 5.92 20 0.349066 7.74 30 0.523599 8.07 40 0.698132 8.17 50 0.872665 7.93 60 1.047198 8.10 70 1.221731 8.2 80 1.396264 8.4 90 1.570797 8.24 100 1.74533 8.7 110 1.919863 8.7 120 2.094396 8.7 180 3.141594 9.02 240 4.188792 9.11 300 5.23599 9.48 360 6.283188 9.51 420 7.330386 9.71

1. A tensile test was conducted on a metal "505" specimen and the following stress-strain curves were generated, both curves generated from the same set of data. Use the graphs to fill in the mechanical properties of the material tested in the box below. Don't forget units! Stress vs Strain Stress, psi Stress, psi 80000 70000 60000 50000 40000 30000 20000 10000 0 0.00 80000 70000 60000 50000 40000 30000 20000 10000 0.02 0 0.000 0.002 0.04 0.004 0.06 0.006 0.08 0.10 Strain Stress vs Strain 0.008 0.12 Elastic Modulus, E: 0.2% Offset Yield Strength, oo: Tensile Strength, ou: Breaking Strength, of: % Elongation: 0.14 0.010 0.012 0.014 Strain 0.16 0.18 0.016 0.018 0.20 0.020

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Q19 and Q20

A tensile test was performed on a metal specimen with a diameter of 1/2 inch and a gage length (the length over which the elongation is meas- ured) of 4 inches. The data were plotted on a load-displacement graph, P vs. AL. A best-fit line was drawn through the points, and the slope of the straight-line portion was calculated to be P/AL = 1392 kips/in. What is the modulus of elasticity? BI

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Q1/ The table below shows the values of stress amplitude and life cycles : Fatigue strength Sf (Mpa) Number of cycles (Nf) 474 111 417 496 352 3002 316 7065 290 21930 262 66075 The test were done, to estimate the failure, on un-notched axially load specimens under zero mean stress. Calculate a and b using the stress -life equation.

2. The Goodman diagram relates oa and Om for fatigue failure after a specific number of cycles Nf, where da is the cyclic stress amplitude, and om the mean stress. For a steel specimen it is found that oa = a (0).[1- (om/OTS)] where OTS is the metal's tensile stress (375MPa), and a (0)~0.450TS is the 10' cycle fatigue limit at zero mean stress. Assuming the specimen is cycled repeatedly between 0 stress and a peak stress, what is the maximum peak stress if failure in < 107 cycles is to be avoided?