Problem 6.9-2a Given: a) Calculate the nodal loads at allthree nodes of the bar elementconsidered in Problem 6.10-1bSolution:From Problem 6.10-b, a uniformlydistributed axial load of intensity qacts along the entire bar.The consistent nodal loads are given by:re1−1ξNTq⋅J⋅⌠⎮⌡d=From Eq. 6.1-4N112ξ−ξ2+()⋅=N21ξ2−=N312ξξ2+⋅=From Eq. 6.1-6J121−2ξ⋅+⋅2−ξ⋅1212ξ⋅+⋅⎡⎣⎤⎦0L2L⎛⎜⎜⎜⎝⎞⎟⎟⎟⎠⋅=simplifyJL2=→qL2⋅1−1ξ12ξ−ξ2+⋅⌠⎮⎮⌡d⋅Lq⋅6→re1−1
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This note was uploaded on 01/11/2011 for the course MAE 5020 taught by Professor Folkman during the Fall '10 term at Utah State University.