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A large plate of a brittle ceramic material contains a single edge notch. The plate is subjected to a far-field tensile load of 5 kN. The plate dimensions are: width W = 5.0 cm, height H = 6.0 cm and thickness B = 1.2 cm. The notch length a0 is 2 cm and the notch-root radius ρ = 0.5 mm
(a) Estimate the minimum length of the pre-crack one has to introduce at the tip of the notch to avoid possible effects of the strain field of the notch on subsequent fracture behavior.
(b) Calculate the stress intensity factors if through-thickness pre-cracks of the following lengths are introduced at the notch-tip:
(i) 10 urn,
(ii) 0.5 mm and
(iii) 3 mm
The aim of this module is to develop practical and analytical understanding of the complex and multi-disciplinary nature of railways, and to provide students with an understanding of the economics of designing, building, maintaining and renewing ..
Water flowing in a wide channel of depth 35 cm undergoes hydraulic jump that resulted in energy dissipation of 72%. Estimate (a) the downstream depth, (b) the volume flow rate per meter of width.
Orthographic drawings that show one side of a building, building's interior, or exterior
Find the length and width of a square basin for virus disinfection of a flow of 6 MGD. You may assume a depth of 5 ft, a C•t product of 10 (mg/L) •min for 1.5-log removal, and a target free chlorine residual of 0.6 mg/L.
Determine the arrival rate assuming that it is unchanged over the duration of the observation period. An approach to a pretimed signal with a 60second cycle has nine vehicles in the queue at the beginning of the effective green.
how long would it take a layer of this clay 5m thick to reach the same degree of consolidation under the same stress and drainage conditions. how long would it take the layer to reach 30% consolidation.
The moist unit weights and degrees of saturation of a soil are given: moist unit weight (1) = 16.62 kN/m^3, degree of saturation (1) = 50%; moist unit weight (2) = 17.71 kN/m^3, degree of saturation (2) = 75%.
You have been asked to design a simultaneous traffic signal system for six intersections on a suburban arterial. The distances between consecutive intersections are:
A 2000-lb wheel load is to be supported by aggregate over soil with a maximum bearing pressure of 1000 lb/sqft. What depth of aggregate is needed if the angle theta is 40 degrees
A short Reinforced Concrete column is 300mm x 400mm. It is required to carry an ultimate load of 1500kN and an ultimate major axis bending moment of 300kNm. Calculate the area of reinforcement required.
If = 300 N , determine the required minimum compression in the spring so that the wedge will not move to the right. Neglect the weight of A and B. The coefficient of static friction for all contacting surfaces is .2 Neglect friction at the rollers.
shown in the figure are a mast and a portion of the rigging of a schooner. members cd and ef lie in the same plane.
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