Download Essential Solid Mechanics: Theory, worked examples and by B. W. Young (auth.) PDF

By B. W. Young (auth.)

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Sample text

The magnitude and distribution of the stress will depend upon the way in which the loads are applied and on the geometric properties of the crosssection. In general, a member may be required to sustain axial forces, bending moments, shear forces and torques taken individually or in combination with each other. In this chapter however we shall be concerned with stresses due to axial forces alone. The action of a force on a deformable body is to cause it to change its shape. In general terms this shape change is expressed by reference to the strain in the body.

2a shows the typical behaviour of annealed mild-steel. Stress is proportional to strain from A to B. From B to C a large amount of strain occurs at constant stress. This phenomenon, which is peculiar to annealed mild-steel, is known as yielding and the stress at B where yielding starts is called the yield stress Cay)· In fact the yield stress at B has upper and lower values. The difference between these two is small and the quoted yield stress is usually the lower value. At C the material becomes strain hardened and an increase in stress is required to take the sample to its maximum stress at D.

At one end the cables are secured to an anchorage at a point 11 m above the deck, which is 2m below the cables' lowest point. At the other end, the cables pass over a tower whose top is 6 m above the deck. The cables pass over the tower on a saddle which rests on rollers and down to anchorage points at an angle of 30° to the horizontal. If the deck loading and cable self-weight is uniformly distributed horizontally over the whole span with an intensity of 12 kN m- 1 determine the maximum tension in each cable, and the reaction on the tower.

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