. The strength of materials; a text-book for engineers and architects. © TTvi? isolated Loads toOQCQCCpD. fjarobola { X Un ijo rm L ooid Uniform and isolated Loads Fig. 57.— and Shear Diagrams for Cantilevers. Sp = load on A p= w XThis is proportional to x, and therefore the shear diagram is 124 THE STRENGTH OF MATERIALS a triangle, the maximum shear occurring at the end b, andbeing equal to wl or W, if W is the total load on thecantilever. Mj, = moment of load w x about P X= W X X ^ w x^ 2This is proportional to x^, and therefore the diagramwill be a parabola with vertex at a. The ma
. The strength of materials; a text-book for engineers and architects. © TTvi? isolated Loads toOQCQCCpD. fjarobola { X Un ijo rm L ooid Uniform and isolated Loads Fig. 57.— and Shear Diagrams for Cantilevers. Sp = load on A p= w XThis is proportional to x, and therefore the shear diagram is 124 THE STRENGTH OF MATERIALS a triangle, the maximum shear occurring at the end b, andbeing equal to wl or W, if W is the total load on thecantilever. Mj, = moment of load w x about P X= W X X ^ w x^ 2This is proportional to x^, and therefore the diagramwill be a parabola with vertex at a. The maximum will be equal to ^ or -^- and occurs at b. Case 4. Cantilever with Isolated Load and UniformLoad.—^In this case, as in Case 2, the shear and diagramsare obtained by drawing the separate diagrams in accordancewith Cases 1 and 3, and then adding them together as shownin the figure. Case 5. Cantilever with Uniformly Increasing Load.—Suppose a cantilever a b carries a load which increases inintensity uniformly from the free end a to the fixed end 58. This occurs in practice i
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