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An I-beam is supported with a roller at A and a pin at B. The cross-section of the I-beam is shown. F1 a

An I-beam is supported with a roller at A and a pin at B. The cross-section of the I-beam is shown. F1 a

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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an I-beam is supported with a roller at A and a pin at B. The cross-section of the I-beam is shown.
An I-beam is supported with a roller at A and a pin at B. The cross-section of the I-beam is shown. F1 A ō a d1 a d2 d1 H d5 P d4- d2 d3 d2 d3 B Values for the figure are given in the following table. Note the figure may not be to scale. Dimensions for whole beam. Variable Value d₁ 0.4 m d2 0.25 m d3 2.2 m F₁ 37500 N Dimensions for the cross-section. Variable d₁ d₂ d3 d4 d5 Value 110 mm 8 mm 172 mm 6 mm 50 mm Analyzing the beam at the cross-section a-a and at point P, a. Determine the reaction force at point A, Ay. b. Determine the reaction force at point B, By. c. Determine the magnitude of the internal normal force at a-a, Naa- d. Determine the magnitude of the internal shear force at a-a, Vaa- e. Determine magnitude of the internal bending moment at a-a, Maa. f. Determine the mass moment of inertia of the I-beam, I. g. Determine the Qat point P, Qp. h. Determine the magnitude of the normal stress at point P, σnormal. i. Determine the magnitude of the shear stress at point P, Tshear- j. Determine the magnitude of the torsional stress at point P, Ttorsion. k. Determine the magnitude of the bending stress at point P, bending. l. Determine the total on the state of stress at point P. Include negative if applicable. m. Determine the Ttotal on the state of stress at point P. Include negative if applicable. Round your final answers to 3 significant digits/figures.
Transcribed Image Text:An I-beam is supported with a roller at A and a pin at B. The cross-section of the I-beam is shown. F1 A ō a d1 a d2 d1 H d5 P d4- d2 d3 d2 d3 B Values for the figure are given in the following table. Note the figure may not be to scale. Dimensions for whole beam. Variable Value d₁ 0.4 m d2 0.25 m d3 2.2 m F₁ 37500 N Dimensions for the cross-section. Variable d₁ d₂ d3 d4 d5 Value 110 mm 8 mm 172 mm 6 mm 50 mm Analyzing the beam at the cross-section a-a and at point P, a. Determine the reaction force at point A, Ay. b. Determine the reaction force at point B, By. c. Determine the magnitude of the internal normal force at a-a, Naa- d. Determine the magnitude of the internal shear force at a-a, Vaa- e. Determine magnitude of the internal bending moment at a-a, Maa. f. Determine the mass moment of inertia of the I-beam, I. g. Determine the Qat point P, Qp. h. Determine the magnitude of the normal stress at point P, σnormal. i. Determine the magnitude of the shear stress at point P, Tshear- j. Determine the magnitude of the torsional stress at point P, Ttorsion. k. Determine the magnitude of the bending stress at point P, bending. l. Determine the total on the state of stress at point P. Include negative if applicable. m. Determine the Ttotal on the state of stress at point P. Include negative if applicable. Round your final answers to 3 significant digits/figures.
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