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The overhang beam is supported by a pin at point A and a roller at point B. A distributed load is applied to the beam. Take the origin for all functions to be at A., i.e. start at the left and go right. Must use positive sign convention for V and M.

The overhang beam is supported by a pin at point A and a roller at point B. A distributed load is applied to the beam. Take the origin for all functions to be at A., i.e. start at the left and go right. Must use positive sign convention for V and M.

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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c. For the interval 0 ≤ x ≤ 4 m, determine the equation for the Shear Force as a function of x, V(x). d. For the interval 4 ≤ x ≤ 8 m, determine the equation for the Shear Force as a function of x, V(x). e. Determine the magnitude of the max shear force on the beam, Vmax. f. Determine the Q at the point of max shear stress. g. Determine the moment of inertia, I. h. Determine the magnitude of the max shear stress on the beam, Tmax* Round your final answers to 3 significant digits/figures. Ay KN By KN Segment AB (0 m < x < 4 m) V(x) = Vmax 0 Segment BC (4 m < x < 8 m) V(x) = I = 360 Tmax= KN 08 m³ 3 KN 4 m² KN MPa
Transcribed Image Text:c. For the interval 0 ≤ x ≤ 4 m, determine the equation for the Shear Force as a function of x, V(x). d. For the interval 4 ≤ x ≤ 8 m, determine the equation for the Shear Force as a function of x, V(x). e. Determine the magnitude of the max shear force on the beam, Vmax. f. Determine the Q at the point of max shear stress. g. Determine the moment of inertia, I. h. Determine the magnitude of the max shear stress on the beam, Tmax* Round your final answers to 3 significant digits/figures. Ay KN By KN Segment AB (0 m < x < 4 m) V(x) = Vmax 0 Segment BC (4 m < x < 8 m) V(x) = I = 360 Tmax= KN 08 m³ 3 KN 4 m² KN MPa
The overhang beam is supported by a pin at point A and a roller at point B. A distributed load is applied to the beam. Take the origin for all functions to be at A., i.e. start at the left and go right. Must use positive sign convention for V and M. d₁ W1 < B Q Values for the figure are given in the following table. Note the figure may not be to scale. Dimensions for the whole beam Variable Value d₁ d₂ d3 45 W1 4 m 4 m 45 mm 100 mm kN m ||-- 03--| d4 a. Determine the magnitude of the vertical support reaction at pin A, Ay. b. Determine the magnitude of the vertical support reaction at roller B, By. c. For the interval 0 ≤ x ≤ 4 m, determine the equation for the Shear Force as a function of x, V(x). d. For the interval 4 ≤ x ≤ 8 m, determine the equation for the Shear Force as a function of x, V(x).
Transcribed Image Text:The overhang beam is supported by a pin at point A and a roller at point B. A distributed load is applied to the beam. Take the origin for all functions to be at A., i.e. start at the left and go right. Must use positive sign convention for V and M. d₁ W1 < B Q Values for the figure are given in the following table. Note the figure may not be to scale. Dimensions for the whole beam Variable Value d₁ d₂ d3 45 W1 4 m 4 m 45 mm 100 mm kN m ||-- 03--| d4 a. Determine the magnitude of the vertical support reaction at pin A, Ay. b. Determine the magnitude of the vertical support reaction at roller B, By. c. For the interval 0 ≤ x ≤ 4 m, determine the equation for the Shear Force as a function of x, V(x). d. For the interval 4 ≤ x ≤ 8 m, determine the equation for the Shear Force as a function of x, V(x).
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