For a soil element the strength properties are given as c = 50kPa and > = 15 degrees. 3.1 Find σ1 at failure if σ3 = 100KPa. 3.2 For the failure condition given in (a) find shear and normal stresses. 3.3 Plot the Mohr- Circle at failure. [9 marks] [10 marks] [6 marks]

Figure 1 shows the stress-number cycles to failure (S-N) curve for a cylindrical acetal polymer bar. The cylindrical bar is 200 mm long and 15 mm in diameter is subjected to a vibrational load at one end of the bar at a frequency of 500 vibrations per minute with a load of 50 N. 60 50 8 Stress amplitude (MPa) 30 20 10 105 106 107 108 Cycles to failure Figure 1: The S-N fatigue curve for an acetal polymer. 104 (i) Evaluate the duration (in hours) the part will survive before breaking? (ii) Suppose the cylindrical bar is to survive for one million cycles under conditions that provide for equal compressive and tensile stresses. Evaluate the maximum stress, the minimum stress, and the mean stress on the part during its use. Explain the effect of frequency on the stress application would have on your answers.

A strip of elastomer was stretched in tension and elongation was held constant. After 10min the tensile stress in the specimen dropped by 12%. Assuming that the elastomer behavesin accordance with the Maxwell model:• calculate the relaxation time (to the nearest whole number) (answer: τ = 78 min)• show that it takes 22 min for the stress to drop to 75% of its initial value.

Specification of Support Beam Dimensions You are asked to design a support beam used to suspend a heavy load under tension. The beam has a square cross section and is made of steel with a nominal yield strength of 325 MPa. What are the minimum dimensions of this beam if it must suspend a mass of 10,000 kg? Assume a factor of safety of 4.

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69 Gpa, = 0.35)is loaded by an axiel force of 3N, m24mm 12mm 15mm (al Delermine he avetuge ponnal stress ln sechon AB and BC of the chaft at locations away from thefillet Section AB, = Section BC, o rid (O)Determine the change of thee diameter in seien AD due to Polsson's effect. Section AB, Ad%= (c) Determine te hrbest nonnd stress al the filt consideing sTnss concentration. Athe fillet, o= (d) Determine the nommal and shear stresses on the oblique surface that has an inxline angle of Fwiththe nomal cross secbon of the shaft in section AB as shown. pwa the otlique

liquid hydrogen (LH2) tank is a double-hulled tank composed of cold drawn and annealed 316 stainless steel, with the cryogenic liquid on the inside and vacuum in the annular space (the outer tank). The Yield Stress of 316 stainless steel is 45 MPa, the Ultimate compressive strength is 90 MPa, the elongation % is 30, Poisson's ratio is .3 and the CTE is 15.9 *10-6 C-1. A. If there are no relief valves and the vessel is new, if the cross-sectional area of the inner tank is 1 m2, determine the force necessary to cause the tank to rupture.

The table below shows some published values of the growth parameters of SiO2 on silicon. For the dry growth process, the parameter t is already evaluated. Table 4.1 Oxidation coefficients for silicon Dry Wet (640 torr) Temperature ("C) A (µm) B (um'/hr) T (hr) A (um) B (um'/hr) 0.370 0.235 0.165 0.0011 800 920 0.50 0.203 1.4 0.37 0.0049 0.0117 0.027 0.226 0.11 0.05 0.287 0.510 0.720 1000 0.076 1100 1200 0.090 0.040 0.045 0.027 a) At a temperature of 1100°C, what starting oxide thickness does this data for the dry oxide growth assume? b) Using the parameters in the above table, determine total thickness if a dry oxidation was carried out for 5 hours at 1100°C. "

Hot mix asphalt (HMA) is commonly used in the construction of roadways in the United States at a rateestimated to be 500,000,000 tons/year. A typical upper layer (there may be as many as 5 layers ofdifferent thicknesses and compositions) of a high-volume highway is composed of crushed stone (alsoknown as crushed aggregate) and asphalt binder and is approximately 1.25 inches thick. The stone,which has a specific gravity of about 2.7, is mixed with asphalt binder (SG = 1.03) to form the HMAwith a composition of approximately 95 wt% aggregate and 5% asphalt. What is the volume ft3 of asphalt binder and weight (tons) of HMA required for the top layer of a 15-mile segment of interstatehighway with 5 lanes, each of which has a width of 12 ft?

A sawn-lumber column of 5.0 × 7.5-in. cross section has an effective length of 8.5 ft. The grade of wood used has an adjusted allowable stress for compression parallel to the grain σ = 1180 psi and an adjusted modulus E = 440 × 103 psi. Using the allowable- stress method, determine the largest eccentric load P that can be applied when e = 0.7 in. (Round the final answer to two decimal places.) 5.0 in. 7.5 in. D The largest eccentric load P that can be applied is kips.