Husain M. Husain; Wisam F. Yossif
Abstract
Abstract The effect of transverse shear as well as bending on deflection of tapered beams is considered with comparison to that of prismatic beams . It is noticed that the deflection ...
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Abstract The effect of transverse shear as well as bending on deflection of tapered beams is considered with comparison to that of prismatic beams . It is noticed that the deflection due to transverse shear is usually small . An approximate solution is suggested for deflection of tapered beams by assuming the taper beam as a prismatic beam of uniform cross section equal to the smaller cross section of the taper beam to simplify the solution . A simply supported taper beam with circular or square cross section and loaded with uniformly distributed load is considered . The suggested approximate solution gives 6 % higher deflection ratio with respect to that by exact integration . The deflection ratio along a taper beam is presented by curves in logarithmic scales for different taper ratios ( 1.5 to 10 ) due to shear and bending . The deflection ratio due to the effect of transverse shear alone is also presented . The logarithmic scale is used for clearer presentation of the results . Both exact integration solution and approximate solution are used . The suggested approximate solution by using the smaller cross section area of a taper beam as an equivalent uniform area is found to be useful to deal with taper beams of different cross sectional shapes and also for beams under axial forces .
