R. Simmons is planning to build a log-cabin style beach house in Crescent Beach, Florida. She wants to make the strongest rectangular cross section 15 feet long ridge beam from this 18 inch diameter white oak log. a) Determine the base and height dimensions of the optimum cross section. (Hint: think section modulus, S) b) Using the cross section from a) and an allowable tensile stress of 1000 psi, what is the maximum allowable uniform distributed load intensity w that this beam would support with simple supports at the ends

Aloaded platform of total mass 500 kg is supported by a dashpot and by a set of springs of effective stiffness 72 kn/m. it is observed that when the platform is depressed through a distance x = 12.5 cm below its equilibrium position and then released without any initial velocity; it reaches its equilibrium position in the shortest possible time without overshoot. find the position and velocity of the loaded platform 0.10 sec. after its release. if a further load of 400 kg is added to the platform, find, i) the frequency of damped vibrations, and i) the amplitude of vibration after 2 complete oscillations, given that the initial amplitude is 15 cm.

Afluid flows with a velocity field given by v=(x/t)i.. determine the local and convective accelerations when x=3 and t=1.

Draw the engineering stress-strain curve for (a) bcc; (b) fcc metals and mark important points.