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With hinged, fixed or free end support conditions the deflected shape in neutral equilibrium of an initially straight column with uniform cross section throughout its length always follows a partial or composite sinusoidal curve shape, and the critical load is given by
Some Related Sentences
With and hinged
With respect to behavioral evidence, case linkage efforts have most typically hinged on three concepts:
With and fixed
With his head erect, he approached, not glancing at us, and passed by with his clear eyes raised and fixed straight ahead.
With a population of about 1. 3 million, Estonia has about 1. 7 million cellular telephones, 0. 5 million fixed phones, and 0. 8 million internet users ( as of 2006 ).
With the sharp growth of economies in the 20th century, and increasing foreign exchange, the world's gold reserves and their trading market have become a small fraction of all markets and fixed exchange rates of currencies to gold were no longer sustained.
With video machines, the fixed payout values are multiplied by the number of coins per line that is being bet.
With beamed propulsion one can leave the power-source stationary on the ground, and directly ( or via a heat exchanger ) heat propellant on the spacecraft with a maser or a laser beam from a fixed installation.
With a fixed spool, spin cast reels can cast lighter lures than bait cast reels, although friction of the nose cone against the unspooling line slightly reduces casting distance compared to spinning reels.
With a fixed working frequency, large changes in ionospheric conditions may create skip zones at night.
With Lady Croom, for whom Mrs Chater is a " harlot ", Septimus delicately admits that " her passion is not as fixed " as a suitor might wish.
With the motion of the beam this revolved around, and turned, the ' sun ' a second rotating cog fixed to and which turned the drive shaft.
With fixed wing UAVs, payloads can also be attached to the airframe, but aerodynamics of the aircraft with the payload must be assessed.
With the exception of Sessions in the first series and Stiles and Mochrie starting with the seventh and eighth series ( respectively ), there were no fixed regulars on the show, though there were many recurring regulars ( including Fry ).
With the addition of fixed cameras for the Active Traffic Management system, the number of cameras on the Highways Agency's CCTV network is likely to increase significantly over the next few years.
With the time equipment fixed, Scaroth uses it to travel back 400 million years in hopes to stop the explosion of his ship.
With this form of lift, the grip of an aerial tramway cabin is fixed onto the propulsion rope and cannot be decoupled from it during operations.
With the deflector lowered about halfway into the jetstream, forward and reverse thrust are equal so the boat maintains a fixed position, but steering is still available to allow the vessel to turn on the spot-something which is impossible with a conventional single propeller.
The north span of the Three Nations Crossing, seen from Cornwall's east end. With a fleet of 24 buses, Cornwall Transit serves the community 6 days per week ( excluding holidays ) on fixed routes and supplementary " rush hour " routes.
With Meiji Restoration and the transfer of the imperial capital from Kyoto to Tokyo, Kansai dialect became fixed in position as a non-standard local dialect.
With fixed assets worth slightly more than £ 43. 5m and land insured for approximately £ 72m, Fitzwilliam is also about average in terms of college wealth.
With fixed shutter speed, aperture and focus, it continued in the tradition of Kodak's earlier Brownie cameras, providing a simple snapshot camera anyone could use.
With and free
With respect to skywave service rendered at night, class 1, -- A stations are the only stations permitted to operate in the United States on clear channels specified for class 1, -- A operation, and so render skywave service free from cochannel interference whereever they may be received ; ;
With the exception of the Roman Catholic and the Orthodox Catholic Churches, most churches make no moral distinction between rhythm and mechanical or chemical contraceptives, allowing the couple free choice.
With their customary source of supply cut off, the Fort Garry free traders engaged three men to cart goods to them from the Mississippi country.
With Lizzie in the barn, the screen door unlocked and Bridget upstairs in her attic room, he would have had free and easy access to the house.
With his free hand he pulled a pad and pencil toward him and began to make notes as he listened, saying, `` Uh-huh '' and `` I see '' at intervals.
With minor exceptions, balloting was considered free and fair by the local human rights organizations which monitored the contest.
" With more than 2, 000 dead, the 44-day Costa Rican Civil War resulting from this uprising was the bloodiest event in twentieth-century Costa Rican history ", but the victorious junta drafted a constitution guaranteeing free elections with universal suffrage and the abolition of the military.
With the climate of change throughout Eastern Europe during the 1980s, the communist hegemony was challenged ( at the same time, the Milošević government began to gradually concentrate Yugoslav power in Serbia and calls for free multi-party elections were becoming louder.
With the clutch disengaged, the gearbox input shaft is free to change its speed as the internal ratio is changed.
With utilities and programs often included free with modern operating systems, many users can make their own animated movies and shorts.
With the help of five Central American Presidents, including Ortega, it was agreed that a voluntary demobilization of the contras should start in early December 1989, in order to facilitate free and fair elections in Nicaragua in February 1990 ( even though the Reagan administration had pushed for a delay of contra disbandment ).
With the exception of Russia, all neighboring and Baltic states are members of the European Union or the Nordic Council, both of which free movement of persons and capital between the countries.
With a new ballpark and increased revenue stream, the team showed rare interest in the top free agents on the market which included slugger Albert Pujols, pitchers C. J. Wilson and Ryan Madson.
With the development of the software industry, other license schemes arose similar to limited free products in standard marketing.
With the advent of the free software movement, license schemes were created to give developers more freedom in terms of code sharing.
" With the help of Cable and a flood orchestrated by Storm, the X-Men simultaneously free the mutant slaves and destroy the Sentinels.
With the full backing of the United States, the Organization for Security and Co-operation in Europe ( OSCE ) reported that the elections failed to comply with commitments to free and fair elections and hence were invalid.
With a solid pitching rotation, which was now ranked among the best in the league, the team traded for 1988 All-Star first baseman Gerald Perry and signed yet another free agent with veteran right-hander Richard Dotson.
With the onset of Ragnarök, Loki is foretold to slip free from his bonds and to fight against the gods among the forces of the jötnar, at which time he will encounter the god Heimdallr and the two will slay each other.
With the addition of an additional radio frequency pulse and additional manipulation of the magnetic gradients, a T < sub > 2 </ sub >- weighted sequence can be converted to a FLAIR sequence, in which free water is now dark, but edematous tissues remain bright.
With a Communist insurgency threatening Greece, and Britain financially unable to continue its aid, the President announced his Truman Doctrine on 12 March 1947, " to support free peoples who are resisting attempted subjugation by armed minorities or by outside pressures ", with an aid request for consideration and decision, concerning Greece and Turkey.
With the advent of quantum mechanics this picture was given more formal interpretation in the form of the free electron model and its further extension, the nearly free electron model.