Strength of Material; An Elementary Study Prepared for the Use of Midshipmen At the U. S. Naval Academy

Cover Strength of Material; An Elementary Study Prepared for the Use of Midshipmen At the U. S. Naval Academy
Strength of Material; An Elementary Study Prepared for the Use of Midshipmen At the U. S. Naval Academy
Harry Eaton Smith
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24.
center of grdvity, which in this case is at the middle of the beam. If we take moments about an axis through the left end of the beam, we eliminate the supporting force P, whose moment about this axis is zero; our equation for equilibrium will then be 200 X 10 + 150 X 6 + 300 X 11 + 750 X 16 - Q X 20 = 0, from which Q = 910, and P is obviously the difference be- tween the sum of the weights and Q, or P = 490 lbs! In the above the weights act at the points indicated and are known as concentr
...ated loads. If the loading is continuous the effect is considered as acting at the center of gravity, as it has been taken for the weight of the beam in the above.
33. Having the supporting forces, we can now find the shearing stress on any transverse section of a beam. Refer- ring to Fig. 25, and at first considering the beam weightless, if HH is any section between the supporting force P and the 54 STRENGTH OF MATERIAL.
first load PFj, there would clearly be a tendency for the two parts of the beam to move as shown, the left part remaining stationary and the right part being pushed down by the weights W^y W^y and W^] in other words there is in any loaded beam tangential or shearing stress along any trans- verse section.


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