Elements Of Electromagnetics
7th Edition
ISBN: 9780190698614
Author: Sadiku, Matthew N. O.
Publisher: Oxford University Press
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Transcribed Image Text:1) Determine the position a of the roller support B in terms of L so that the deflection at
end C is the same as the maximum deflection of region AB of the overhang beam. EI
is constant. Use the Moment Area method.
a
B
Mo
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- Use the conjugate-beam method and determine the slope just to the left and just to the right of the pin at B. Also, determine the deflection at D. Assume the beam is fixed supported at A, and that C is a roller. Take M = 20 kN m, L = 7 m and EI = 10000 KNM². M A В C D' L Part 1) The magnitude of slope just to the left of the pin at B, O BL = 2 10 3 rad Your last answer was interpreted as follows: 2 Part 2) The magnitude of slope just to the right of the pin at B, 0 BR = 1 10 3 rad Your last answer was interpreted as follows: 1 Part 3) The magnitude of displacement at D, Ap= |1 mm Your last answer was interpreted as follows:1arrow_forwardA 30 kN/m 2.4 m C 50 kN 1.2 m D 1.2 m B Q4. Determine the deflection and slope at point C by using singularity function method.arrow_forwardSolve the problem using Area Moment Method. Use 3 decimal places.arrow_forward
- Determine the maximum deflection of the beam and the slope at A. Use Macaulay's brackets in your derivation, setting the origin at A, to find a single expression for the slope and deflection over the entire length of the beam. El is constant. Mo Mo Barrow_forwardProblem 2 Moment-Area Method: For the given beam below, answer the questions. El = constant: 5 kN 8 kN-m A В 6 m 6 m 6 m (b) (c) | Draw the Curvature Diagram of the beam. Mark all important values. Determine the slope at point A, 64, using the moment-area method. | Determine the deflection at point B, Ag, using the moment-area method.arrow_forwardFor the beam loaded as shown, use the method of superposition to determine the deflection of the beam at end A. Assume the following values: El = 2.8 x 104 kN-m² (constant for entire beam) L = 15 m w = 56 kN/m Answer: VA= i B W mm L Carrow_forward
- 3. Determine the location and magnitude of the maximum deflection of the beam shown using: a. Double-integration Method b. Moment-Area Method c. Conjugate Beam Method 250 kN 6 m El = constant E = 200 GPa I = 462 (10*) mm*arrow_forwardQuestion 2 Determine the maximum deflection of the beam and the slope at A. Use Macaulay's brackets in your derivation, setting the origin at A, to find a single expression for the slope and deflection over the entire length of the beam. El is constant. Mo Moarrow_forward2arrow_forward
- At what distance, "a" should the bearing supports at A and B be placed so that the displacement at the center of the shaft is equal to the deflection at its ends? The bearings exert only vertical reactions on the shaft. Use conjugate beam method. (EI is constant)arrow_forwardDONT USE AI!!arrow_forwardProblem 1. Use the moment-area theorems and determine the slope at A and displacement at C. El is constant. Ignore the self-weight of the beam. 10 kN A 2 m 4m C Figure 1 4 m Problem 2. Solve Problem 1 using the conjugate-beam method. Barrow_forward
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