. Theory of structures and strength of materials. ^ 98 THEORY OF STRUCTURES. The bending moment at any point of the beam is repre-sented by the vertical distance between that point and a pa-rabola CO having its vertex at O and its axis vertical. Ex. 3. The beam OA, Fig. 161, is fixed at A and carries. Fig. 161. a single weight P at O, together with a uniformly distributedload of intensity zv per unit of length. The Shearing Force (5) at a plane MN distant x from Ois evidently P -|- wx ; it is P at (9, and P + zf/ at ^. Upon the verticals through O and A take OC equal or pro-portional to P,
. Theory of structures and strength of materials. ^ 98 THEORY OF STRUCTURES. The bending moment at any point of the beam is repre-sented by the vertical distance between that point and a pa-rabola CO having its vertex at O and its axis vertical. Ex. 3. The beam OA, Fig. 161, is fixed at A and carries. Fig. 161. a single weight P at O, together with a uniformly distributedload of intensity zv per unit of length. The Shearing Force (5) at a plane MN distant x from Ois evidently P -|- wx ; it is P at (9, and P + zf/ at ^. Upon the verticals through O and A take OC equal or pro-portional to P, and AB equal or proportional to zvl-\~ P\join BC. The vertical distance between any point of thebeam and the line BC represents the shearing force at thatpoint. Again, the Bending Moment {M) at MN is evidently wx- 4- Px2 ^Px\ wPit is nil at O, and \- PI A. 2 Upon the vertical through A take AD equal or propor- tional to 1- PL The bending moment at any point of the beam is represented by the vertical distance between thatpoint and a parabola DOE having its axis EF vertical and its
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Keywords: ., bookcentury1800, bookdecade1890, bookpublishernewyo, bookyear1896
