(6) For the composite beam shown in the figure, which is bended about a horizontal axis by a couple of moment M = 1000 N · m, determine the maximum stresses in Materials A and B. Material A, E = 210 GPa 20 mm M 40 mm Material B, E = 69 GPa 20 mm

(6) For the composite beam shown in the figure, which is bended about a horizontal axis by a couple of moment M = 1000 N · m, determine the maximum stresses in Materials A and B. Material A, E = 210 GPa 20 mm M 40 mm Material B, E = 69 GPa 20 mm

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

See similar textbooks

Similar questions

1 A beam of T-section is supported and loaded as shown in the figure below. The cross section has width b = 2.5in., height h = 3in., thickness t = 0.5in, C₁= 2in, and C2 = 1in. Determine the maximum tensile and compressive stresses in the beam if I = 2.0833 in4. 4₁ = 4 ft P=625 lb q=80 lb/ft Than2-843- -L3-5 ft- €2
4. The simply supported beam has a cross section and a loading as shown in the figure (a) Draw the shear and bending-moment diagrams for the beam (b) Determine the maximum absolute value of the shear force and bending moment. (c) Determine the maximum tensile and compressive stresses in the beam. A 30 kN/m 2 m C 60 kN D 2 m B T 1 150 mm 50 mm T
A circular aluminum tube of lengthL = 600 mm is loaded in compression by forces P(see figure). The outside and inside diameters ared2 = 75 mm and d1 = 63 mm, respectively. A straingage is placed on the outside of the tube to measurenormal strains in the longitudinal direction. Assumethat E = 73 GPa and Poisson’s ratio is n = 0.33.(a) If the compressive stress in the tube is 57 MPa,what is the load P?(b) If the measured strain is ε =781x10 -6 , what isthe shortening δ of the tube? What is the percent change in its cross-sectional area? What is thevolume change of the tube?(c) If the tube has a constant outer diameterof d2 = 75 mm along its entire length L butnow has increased inner diameter d3 with a normalstress of 70 MPa over the middle third (seefigure, part b) while the rest of the tube remains atnormal stress of 57 MPa, what is the diameter d3?
The cross section of a composite beam madeof aluminum and steel is shown in the figure. The moduliof elasticity are EAl = 75 GPa and Es =200 GPa.(a) Under the action of a bending moment that producesa maximum stress of 50 MPa in the aluminum,what is the maximum stress σs in the steel?(b) If the height of the beam remains at 120 mmand allowable stresses in steel and aluminum aredefined as 94 MPa and 40 MPa, respectively,what heights hAl and hs are required for aluminumand steel, respectively, so that both steeland aluminum reach their allowable stress valuesunder the maximum moment?
Q2 The internal bending moment in a beam with a cross sectional area shown in the figure is 500a in the direction shown. Nom Find: a) The centroid of the cross sectional area and, b) the maximum tensile and compressive normal stresses. Make a sketch showing the stress distribution A A -35 mm C2 100 mm C1 = ỹ 5 G0 Na m 25 mm B 50 25 50. mm 'mr mm
Stress Example; The beam, whose loading condition is given in the figure, is connected from point A with a pin with a diameter of 20 mm and from point B with a pin with a diameter of 30 mm, and the connection figures are given next to it. Accordingly, find the average shear stress at pins A and B. 2 m- 30 kN 4 m HE 5 B 3 |4
A thin strip of steel of length L = 0.8 m and thickness t = 2 mm is bent by couples Mo (see figure). The deftection b at the midpoint of the strip (measured from a line joining its . end points) is found to be 143 mm. (a) Calculate the radius of curvature ρ of the strip. (b) Assuming that the neutral surface is equidistant from the top and bottom surfaces of the strip, calculate the longitudinal normal strain E at the top surface of the strip.
A railroad tie (or sleeper) is subjected to two rail loads, each of magnitude P = 177 kN, acting as shown in the figure. L 9 £a The reaction q of the ballast is assumed to be uniformly distributed over the length of the tie, which has cross-sectional dimensions b 300 mm and h = 250 mm. Calculate the maximum bending stress o (in MPa) in the tie due to the loads P, assuming the distance L = 1,500 mm and the overhang length a = 495 mm. (Enter the magnitude.) max MPa
A three-member plane truss is shown in the figure. Member (2) has a cross section of 400 mm? and is made of steel (E=210 GPa) while members (1) and (3) have a cross section of 300 mm? and are made of Aluminum (E = 70 GPa). Determine the displacement at the free end (node I) and stresses in each member. %3D 3m. (1) (2) 3m 45 10 kN (3) 3m 20 kN
A wooden beam (1) is reinforced with steel plates (2) rigidly attached to its top and bottom surfaces, as shown in the figure. Dimensions of the cross section are b₁ = 5.50 in., d,= 10.75 in., b₂ = 3.50 in., and d₂ = 0.55 in. The elastic moduli of the wood and steel are E₁ = 1, 250 ksi and E₂ = 30, 000 ksi, respectively. The allowable bending stresses of the wood and steel are 1200 psi and 19500 psi, respectively. Determine the largest concentrated vertical load that can be applied at midspan if a simply supported beam with this cross section spans 16.8 ft. by Jd₂ (1) 2- (2) P = (2) b₂ d₁ Td₂ eTextbook and Media: lb
The beam shown in the figure consists of a W360 x 79 structural steel wide-flange shape [E = 200 GPa; I = 225 × 106 mm¹]. For the loading shown, determine: (a) the reactions at A, B, and C. Enter a positive value for a reaction force that acts upward on the beam, or a negative value for a reaction force that acts downward. (b) the magnitude of the maximum bending stress in the beam. Enter a positive value for the magnitude. Note: Use the tabulated value for the section modulus S from Appendix B directly in the stress calculation. Although S is related to the area moment of inertia I and the cross-section depth d, due to round-off in the tabulated data for S, I, and d, a slightly different answer for the bending stress is obtained using S directly as compared to the result obtained in using I and d. Of course, performing the calculation using either S directly, or using I and d, the answer will likely be within the required tolerance. Assume L₁ = 3.2 m, L₂ = 5.3 m, M = 200 kN-m, and w =…
The cross-sectional dimensions of the beam shown in Figure are ro = 115 mm and ri = 95 mm. Given Mz = 16 kN ⋅ m, α =30°, and β = 55°, what are the bending stresses at points H and K?