8.4-10 An overhanging beam ABC has a guided support at A, a rectangular cross section, and sup- ports an upward uniform load q = PIL over AB and a downward concentrated load P at the free end C (see figure). The span length from A to B is L, and the length of the overhang is L/2. The cross section has a width of b and a height h. Point D is located midway between the supports at a distance d from the top face of the beam. Knowing that the maximum tensile stress (principal stress) at point D is o, = 38 MPa, determine the mag- nitude of the load P. Data for the beam are L =1.75 m, b = 50 mm, h = 220 mm, and d = 55 mm. q = PIL D. A p. L L 2 2 2
8.4-10 An overhanging beam ABC has a guided support at A, a rectangular cross section, and sup- ports an upward uniform load q = PIL over AB and a downward concentrated load P at the free end C (see figure). The span length from A to B is L, and the length of the overhang is L/2. The cross section has a width of b and a height h. Point D is located midway between the supports at a distance d from the top face of the beam. Knowing that the maximum tensile stress (principal stress) at point D is o, = 38 MPa, determine the mag- nitude of the load P. Data for the beam are L =1.75 m, b = 50 mm, h = 220 mm, and d = 55 mm. q = PIL D. A p. L L 2 2 2
Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter8: Applications Of Plane Stress (pressure Vessels, Beams, And Combined Loadings)
Section: Chapter Questions
Problem 8.4.10P: An overhanging beam ABC has a guided support at A, a rectangular cross section, and supports an...
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