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Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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D P B A C L L 2 2 Figure 5 The A-36 steel structure consists two roller-connected prismatic beams with equal cross- sections, as shown in Figure 5 where L=6 m. The structure has to support a force P=30 kN. Neglect the weight of the beams and the friction in the roller connection B. a) Find the vertical internal force in the roller connection B. HINT: declare the roller connection in B as redundant, and separate the structure into 2 beams. b) Find the support reactions in the fixed end D, in the pin C, and in the roller A. c) Plot the shear force diagram and the bending moment diagrams of the two beams. Determine Mmax and Vmax for the structure. d) Select the lightest-weight standard wide-flange beam that will safely support the loading without plastic deformations. The allowable bending stress is 170 MPa and the allowable shear stress is 100 MPa. e) Calculate the vertical displacement at B and the slopes at A and C. f) Write the equation of the elastic curve for the region BC.
Transcribed Image Text:D P B A C L L 2 2 Figure 5 The A-36 steel structure consists two roller-connected prismatic beams with equal cross- sections, as shown in Figure 5 where L=6 m. The structure has to support a force P=30 kN. Neglect the weight of the beams and the friction in the roller connection B. a) Find the vertical internal force in the roller connection B. HINT: declare the roller connection in B as redundant, and separate the structure into 2 beams. b) Find the support reactions in the fixed end D, in the pin C, and in the roller A. c) Plot the shear force diagram and the bending moment diagrams of the two beams. Determine Mmax and Vmax for the structure. d) Select the lightest-weight standard wide-flange beam that will safely support the loading without plastic deformations. The allowable bending stress is 170 MPa and the allowable shear stress is 100 MPa. e) Calculate the vertical displacement at B and the slopes at A and C. f) Write the equation of the elastic curve for the region BC.
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