A beam having the cross section shown is subjected to a couple that acts in a horizontal plane. Determine the largest permissible value of the moment Mo of the couple if the maximum stress in the beam is not to exceed 13 ksi.
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- Find. (1) Maximum bending stress at point B (2). Calculate deflection at point B.solve for deformation in figure B. given V= 10-0 and area = 2.0in^2If Mz = 210 kip-ft, find the magnitude of the bending stress at a point H. For the beam cross section, assume a = 7 in. b = 10 in. d = 28 in. r = 3.5 in. The centroid of the cross section is located 12.88 in. below the uppermost surface of the beam. The moment of inertia about the z axis is 15990 in.4.
- If the beam is subjected to a bending moment of M = 5 kN # m, determine the bending stress developed at point A and sketch the result on a differential element at this point.For the beam loaded as shown in Figure, determine (a) the deflection and slope under the load 1kN and (6) the maximum deflection between the supports. 1kN 2m 4mTwo wooden joists 100mm * 200 mm along the joint AB as shown in figure. Determine the normal and shearing stress in glued surface if P = 400 N
- Two wooden joists 100mm * 200 mm along the joint AB as shown in figure. Determine the normal and shearing stress in glued surface if P = 400 NIn the figure, determine the value of S such that the resultant is 100 N downward and acting at 3 meter from the support.If M, = 285 kip-ft, find the magnitude of the bending stress at a point H For the beam cross section, assume a = 9 in. b= 12 in. d= 31 in r= 45 in. The centroid of the cross section is located 14.16 in. below the uppermost surface of the beam. The moment of inertia about the z axis is 26227 in 4
- For the beam and loading shown, use the double-integration method to determine (a) the equation of the elastic curve for the beam, (b) the maximum deflection, and (c) the slope at A. Assume that EI is constant for the beam. Let w = 14 kN/m, L = 4.5 m, E = 180 GPa, and I = 130 x 106 mm4. Part 1 Draw a free body diagram of the beam and solve the reaction forces Ay and By. Forces are positive upwards. Answer:Ay = kNBy = kN Part 2 Cut a cross-section through the beam at any point and draw a free body diagram. Determine the internal bending moment M(x). The diagram shows M(x) in its positive direction. Your answer may be negative. Check your equation by solving for M at x = 2.3 m.Answer:M(x = 2.3 m) = kN·mThe T-shaped beam shown above is supporting a concentrated load P at its free end. The beam has an allowable bending stress of ?????? = 250 MPa and an allowable shear stress of ?????? = 100 MPa. a) Determine the distance to the neutral axis (?̅), second moment of area (?), and the section modulus (?) of the cross-section.b) Draw the shear force diagram (SFD) and bending moment diagram (BMD) of the beam. On your diagrams, express the values of shear and moment in terms of the applied load P.c) Determine the maximum value of P such that bending failure will not occur.d) Determine the maximum value of P such that shear failure will not occur.e) Based on your answers to (c) and (d), what is the maximum load P that can be applied to the beam? Is this beam bending or shear governed?The following beam is supported by three cables AD, BE, and CF. Cables AD and CF are made of steel, and cable BE is made of aluminum. The data is presented in the table. A force P of 125 kN is applied, and the temperature increases by 100°C. Determine: The stress in each cable. Answ: 25.09 MPa, 49.22 MPa. The vertical displacement of the beam. Answ: 1.99E-3 m.