Elements Of Electromagnetics
7th Edition
ISBN: 9780190698614
Author: Sadiku, Matthew N. O.
Publisher: Oxford University Press
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- 2. The figure shows a cantilevered beam, subjected to a uniformly distributed (rectangular) 40 N/m force along the section DE, a 50 N point force at point C, and a 200 N·m couple moment. a. Write the shear-force and bending-moment equations as a function of distance, x, measured from the leftmost point, A, for the entire beam. b. Using your shear-force and bending-moment equations, calculate the shear force and bending moment at x = 2 m and x = = 5 m. 200 N·m 50 N 40 N/m 1.m C D 2.5 m 1m 2.5 m E B 2 marrow_forwardIn the figure shown, the aluminum strut has a cross-sectional area in the form of a cross. If it is subjected to the moment M= 8 kN.m: 1) determine the bending stress acting at points A and B, 2) show the results acting on a stress distribution diagram.arrow_forwardFor the beam shown at right, determine the following: P= 1800 lb a. Maximum tensile bending stress b. Transverse shear stress at a the junction of the "TEE" (i.e., 2" above the neutral axis). c. Transverse shear stress at the neutral axis - 7.5 ft- - 7.5 ft- (a) d. Draw the stress elements -10 in. representing the state of stress at the junction of the “TEE" and at the neutral axis. | 2 in. 4 in. -N- 1600 10 in. 8 in. 42 in.k- (b)arrow_forward
- Draw a FBD of section CD. Do not solve the rest of the problemarrow_forwardA solid rod has a diameter of e = 55 mm and is subjected to the loading shown. Let a = 200 mm , b = 210 mm , c = 310 mm , d = 250 mm , and P = 3.0 kN. Take point A to be at the top of the circular cross-section. (Figure 1) a. As shown (Figure 2), a cut was made at A to determine the resultant internal loadings. Determine the moment about the x-axis, Mx. b. To find the state of stress at A, the principle of superposition must be used. If the rod has a diameter of 55 mm, find the stress σA due to the normal force. c. To find the state of stress at A, the principle of superposition must be used. If the rod has a diameter of 55 mm, find the stress σA due to the bending moment about the x-axis. d. To find the state of stress at A, the principle of superposition must be used. Find the stress σA due to all of the loadings on the rod.arrow_forwardDetermine the normal force, shear force, and moment at point C. Take that P = 8 kN and M = 33 kN m. (Figure 1) Figure M B . 1 of 1 -1.5 m 1.5 m 1.5 m-1.5 m-arrow_forward
- 8 kN/m 5 kN/m 1.5 m -0.75 m- 0.75 m- What is the moment induced by this distributed load at O (kN.m)?arrow_forwardI just need the last problem at the bottom of the picture. When I submit the last problem by itself my question gets rejected because the value of the mass is required so I assume that you are supposed to refer to the previous problems to see that M=100Nm.arrow_forwardThe bending moment M is applied to the box beam in the x-y plane at the orientation show below. (a) Determine the maximum magnitude of the bending moment M so that the tensile bending stress in the member does not exceed 15 ksi. (b) Determine the angle that the neutral axis makes with the y-axis. (c) The position or positions on the beam where the maximum compressive bending stress occurs given your answer in a. Clearly indicate this on the figure below (also calculate the values) 4 in. B 4 in. M 6 in. 6 in.arrow_forward
- HOW TO SOLVE THIS QUESTION USING CROSS PRODUCTarrow_forwardDetermine the moment M that should be applied to the beam in order to create a compressive stress at point D of σD = 30 MPa. Also sketch the stress distribution acting over the cross section and calculate the maximum stress in the beam. Construct the stress distribution in 2D similar to in-class examples, rather than isometrically similar to the textbook examples for clarity. Hint: The maximum stress will occur at the extreme fiber (Either top or bottom). For symmetric cross- sections, the extreme fiber for the tensile and compressive stresses will have the same magnitude. A 25 mm M D 150 mm 25 mm 25 mm B 150 mm 25 mmarrow_forward
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