A sample of metal having a rectangular cross-section; a width of 10.00 in. and a thickness of 0.25 in. is cold worked to a final width of 9.50 and a thickness of 0.20 in. If the plastic behavior of this sample is given by o= 100,000€0.5 psi, determine the new yield strength of the sample after cold working. -

A circular nylon [E = 8 GPa; ν = 0.35; α = 29 ×10-6/°C] disk with a circular hole in its center is shown. At an initial temperature of Ti = 22°C, the outer diameter of the disk is D = 210 mm, the diameter of the central hole is d = 55 mm, and the thickness of the disk is t = 24 mm. At a final temperature of Tf = 46°C, determine:(a) the change in diameter Δd of the central hole (assume an increase Δd as positive, otherwise as negative).(b) the change in thickness Δt of the disk (assume an increase Δt as positive, otherwise as negative).(c) the normal strain in the circumferential direction around the outside of the disk.

Brinnell  hardness testing can be used for both Ferris and nonferrous metals.  The test for ferrous metals requires a 500 kg load for 30 seconds and the test for nonferrous metals requires a 3000 kg load for 15 seconds.

A student wants to measure the strain at a particular point K on a loaded specimen, so she affixes a 45° strain rosette at point K and obtains the following results: €A = 390 μrad EB = 275 μrad Ec = 325 prad After packing up and going home to analyse her results, she realises that the strain rosette was misaligned by 0 degrees CW (where a negative corresponds to CCW) from the x-y axes-ie. Gauge C is not parallel with the x-axis and is instead parallel with a different x' axis that is rotated by 0 degrees-where: 0 = 16 deg Instead of replacing the rosette and retaking measurements, the student realises she can use what she learned in ENGG2400 to find the strains she's interested in. b 45° 45° a) Draw a diagram of the situation, showing both the x-y axes and the strain rosette. b) Calculate Exx, Eyy and Yxy. c) Calculate the maximum in-plane shear strain and the associated average normal strain. I X

A ceramic sample with a rectangular section can support a load of up to 290 N under a common strength test for ceramics. Its flexural strength is then 78.3 MPa and the distance between support points is 45 mm. What would be the dimensions of this sample if its width were twice its height?

The representative curves of the applied stress versus the number of cycles for different metals are shown in Figure Q2. Analyze both metals in terms of fatigue properties. 500 Stress amplitude (MN/m²) 400 300 200 100 0 1045 steel 10³ 104 2014-T6 aluminium 10⁹ 106 107 Number of cycles, N₂ Figure Q2: Representative curves of stress amplitude vs number of cycles 108 10⁹

A cylindrical specimen of a metal alloy 47.5 mm long and 9.72 mm in diameter is stressed in tension. A true stress of 397 MPa causes the specimen to plastically elongate to a length of 54.3 mm. If it is known that the strain-hardening exponent for this alloy is 0.2, calculate the true stress (in MPa) necessary to plastically elongate a specimen of this same material from a length of 47.5 mm to a length of 55.8 mm. i MPa

I could use help relating engineering strain and cold work algebraically.