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Text-book of mechanics (1906)

Martin, Louis Adolphe, 1880- · New York, J.Wiley & Sons, Inc.: [etc. etc.] · leaf 219

An illustration from Text-book of mechanics, 1906, leaf 219
ad L displaced by 5 underaction of all loads upon the beam will then be I-(LqdA)\ Lq+Xmq I y~—dxj per element. In general the vertical component of the shearingstress at any point within a beam may be expressed inthe form ^ = hT \ ydA (see page 66). Substituting this value of q, the resilience per… … CydA ~\2 IdA. It may happen that no load L exists at the point atwhich the deflection is desired. Under these conditionsplacing L = o in the above equation simply removes theterm LQX. m=n Moreover, as LQX + £. mQx always represents the total 771 = 1 shearing force at any section due to all existing…

Mechanics

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