By J Prescott
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Extra resources for Applied elasticity
23 . 4) . being the total length of the beam. It in a is isolated to clear that the shearing force beam the in passing an by an amount equal changes, load, The load. shearing and bending moment under several by diagrams should It isolated loads are for one case force beam a for in be observed shown fig. 24. that, in although there is a sudden change in the shearing force of amount equal to that load, there passing a load, no sudden change in the bending moment. Thus the bending moment has the same value immediately on is opposite sides of a load.
38) zero at the middle of the beam, which symmetry about the middle. 36) i±— same distance (5-39) —— I from middle the b beam and. on opposite sides of the middle. 41) whence it follows that the greatest stresses are at the ends of the beam.
If M proved no discontinuity is in the bendin-g moment. Relation between the bending moment and deflexion. 8) M A Now not constant in beams under transverse loads. 6) shows, only when variable. 8) for were constant. 8) M is correct neither stretched nor shortened. This line is and show later that a line of fibres crossing any section of the These are along the called the neutral axis of the section. at distance z from this axis is, by equation The is beam justified. that are 3;-axis in fig. 15.