consider a beam element of length l. write down the cubic spline functions n,(x) for this element. (b) given the following beam with e = 21 × 1010n/m2 and 1 = 1.9 x 10-6m4, discretize the beam into 3 elements and determine the load aon(x), for i = 1,2,3 ort 3.5 × 103 n/m wa)(x) w(x) fo = 2.2 × 103 n 5.3 × 103n/m 0.4m 0.5m 0.3m (c) given that the load vectors due to the distributed loads are given by xe+1 ん obtain the load vectors w1, w2, w3 (d) by taking moments to be positive in the counterclockwise direction and downward forces to be positive, compute the element stiffness matrices and assemble the global stiffess matrix. (e) solve for the unknown transverse nodal displacements vi and rotations φ, note that for the given sign convention 12 -6l-12 -6l 312 6l 12 6l

When using two-wire cable to feed a 240-v appliance that does not require a neutral wire, you should a. mark both ends of the white wire green. b. use the cable as is. c. use only the black wire. d. mark both ends and any exposed area of the white wire black.

Comedians like to joke that the reason we haven’t been visited by intelligent life from elsewhere in the universe is that aliens have been monitoring earth’s broadcasts of intellectually embarrassing tv programs, like gilligan’s island, fear factor, the jersey shore, and the jerry springer showand so consider us far too primitive to merit a visit. let’s check the assertion that aliens could have been receiving them. tv programs are broadcast at a frequency of about 100mhz with about 100kw of total power in 30frames per second, which emanatesroughly uniformly in all directions. assume that interstellar space transmits these broadcasts without attenuation. no matter how smart they are, aliens would require at least one photon per frame to interpret our signals. findthe number of photons per unit time per unit area reaching a receiver on a possible planet in the nearest star system, which is about 4 light-years away (a light-year is the distance light travels in a year). if aliens aimed a receiver or detector directly at earth, how big (in diameter) would it have to be to receive a photon per frame

Which features on mars point to the possibility of liquid water on the planet? impact craters with sharp rims volcanic cones with craters gullies and stream-like channels mountain ranges with faults