Explanation Calculation: Sketch the cross-section of plane area as shown in Figure 1. Refer to Figure 1. Calculate the sum of the plane area using the relation as shown below. Sum the center of gravity of all sides as (1), (2), (3), and (4). Sum = ( 1 ) + ( 2 ) + ( 3 ) + ( 4 ) . Calculate the area and the centroid of each section as shown in table below. Side L , ( mm ) x ¯ ( mm ) y ¯ ( mm ) x ¯ L ( mm 2 ) y ¯ L ( mm 2 ) (1) 45 27 + 45 2 = 49.5 0 2 , 227.5 0 (2) 45 27 + 45 = 72 45 2 = 22.5 3 , 240 1 , 012.5 (3) 72 72 2 = 36 45 2 , 592 3 , 240 (4) 45 2 + 27 2 = 52.479 27 2 = 13.5 45 2 = 22.5 708.4665 1 , 180.7775 Sum 214.479 8 , 768 5 , 433.3 Calculate the center of gravity along x axis ( X ¯ ) as shown below

Vector Mechanics for Engineers: Statics, 11th Edition

11th Edition

ISBN: 9780077687304

Author: Ferdinand P. Beer, E. Russell Johnston Jr., David Mazurek

Publisher: McGraw-Hill Education

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Axial Load

When a bar of the uniform cross-section is acted by a load, such that the load acts along the longitudinal axis of the bar, such kinds of loadings are known as axial loadings. In general terms, a load is an external force acting on a component. An axial …

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