For an engineering application, a plate of a titanium alloy (ti-6a1-4v) with a rectangular cross-section, and a length of 2 m will be subjected to a tensile force of 55 mn. the facture toughness of this alloy is 55 mpaym, the modulus of elasticity is 114 gpa and the yield strength is 910 mpa. a) determine the cross-sectional dimensions of the rectangular plate at the point at which yielding initiates. the ratio of the two sides of the rectangular cross-section is 1: 5. [3 marks] b) at the point at which yielding initiates, given that the deformation is entirely elastic up until this point, what will be the resultant elongation of the plate? [2 marks] c) calculate the size of an interior crack that will lead to catastrophic failure at an applied stress of 50% of its yield strength.

in the analysis of systems that involve fluid flow, we frequently encounter the combination of properties u and pv.

most historians agree that gabriel mouton, the vicar of st. paul’s church in lyons, france, is the “founding father” of the metric system. he proposed a decimal system of measurement in 1670. mouton based it on the length of one minute of arc of a great circle of the earth (now called a nautical mile, 1852 meters). he also proposed the swing-length of a pendulum with a frequency of one beat per second as the unit of length (about 25 cm). a pendulum beating with this length would have been fairly easy to produce, thus facilitating the widespread distribution of uniform standards. over the years, his work was revised, improved, and extended by a number of french scientists.

the political sponsor of weights and measures reform in the french revolutionary national assembly was the bishop of autun, better known as talleyrand. under his auspices, the french academy appointed several committees to carry out the work of developing a usable system of weights and measures for france. one of the committees recommended a decimalized measurement system based upon a length equal to one ten-millionth of the length of a quadrant of the earth’s meridian (i.e., one ten-millionth of the distance between the equator and the north pole).

they are all solids.