Instructions on Modern American Bridge Building by G. B. N. (George Bates Nichols) Tower
page 6 of 57 (10%)
page 6 of 57 (10%)
|
strain from a given load--and when the beam is vertical the weight
causes the least strain. =Compression.= If we load a vertical post with a weight of 2000 lbs., the strain of compression exerted upon the post will be 2000 lbs. Now, if we incline the post--the strain will be increased, as we have shown above under the head of tension, and in like manner, dependent upon the inclination. But when wood, iron, or any other material is used for a pillar or strut, it has not only to resist a crushing force, but also a force tending to bend or bulge it laterally. A post of circular section with a length of 7 or 8 diameters will not bulge with any force applied longitudinally, but will split. But if the length exceeds this limit--it will be destroyed by an action similar to that of a transverse strain. A cast iron column of thirty diameters in length, is fractured by bending; when the length is less than this ratio--by bending and splitting off of wedge shaped pieces. But by casting the column hollow, and swelling it in the middle, its strength is greatly increased. Barlow's formula for finding the weight that can be sustained by any beam, acting as a pillar or strut, before bending, is:-- WL² bd³ x 80 E ---- = bd³, whence W = ----------- |
|