Haw-3 The compressive Stresf ()of a rectangular beam sectionis given by thefakmula: 6 M bh? bh where Mis bending moment (24 x*10 N.mmt Pis axiat farce(6x1o° N) ,bir widthof section (300 mm) and h is height of Section (600mmtif the eikak in measuring(M)is +3.6 x165 if +18x1 and errorin measuring each (b) ad th) exrak in measuring (P) Nomm is -9 mmguse the tatat derivative to find the tatal
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- The properties of the unequal angle section are Ix=80.9in.4,Iy=38.8in.4, and Iu=21.3in.4. Determine Ixy.Here are the dimensions, sorry for not having them earlier b = 0.4 m, d =0.5 m , t =0.1 m. 3) The force, FT = 1 kN, and moment, MT = 0.5 kN-m, at the tip are caused by a wing tip vortexand a winglet, not shown. L = 12 m and the spar has an elastic modulus of E = 70 GPa and aPoisson’s ratio ofn = 0.33. The mass of the wing is 4000 kg, and the weight of the engine is 107kN. Use 9.8 m/s 2 for the acceleration due to gravity.a) The aerodynamic center for problem 3 is 0.1 m from the y axis (neutral axis). Calculate thetwist angle caused by the lift force. b) For problem 3, calculate the reactions at the fixed end. c) Assume the engine in problem 3, applies a torque around the x – axis of the spar of 100 kN-m,calculate the angular delfection of the wing at x = 3 m due to the engine.A beam is carrying a moment M as indicated. The cross section of the beam is symmetric about the z axis. The dimensions of the cross section and the location of the centroid (point C) are shown. Knowing that Iy = 280,000 mm4, Iz = 150,000 mm4, and M = 400,000 + UV in N.mm, where UV is 21(a) Calculate the components of the bending moment on the y and z axes, Myand Mz.(b) Identify which point at the cross section has the largest tensile stress, and which point at the cross section has the largest compressive stress.(c) Calculate the maximum tensile stress and the maximum compressive stress in the cross section
- A beam is subjected to equal bending moments of Mz = 57 kip·ft. The cross-sectional dimensions are b1 = 8.3 in., d1 = 1.4 in., b2 = 0.90 in., d2 = 6.2 in., b3 = 2.4 in., and d3 = 1.7 in. Determine: (a) the centroid location (measured with respect to the bottom of the cross-section), the moment of inertia about the z axis, and the controlling section modulus about the z axis. (b) the bending stress at point H. Tensile stress is positive, while compressive stress is negative. (c) the bending stress at point K. Tensile stress is positive, while compressive stress is negative. (d) the maximum bending stress produced in the cross section. Tensile stress is positive, while compressive stress is negative.A fiberglass pipe is lifted by a sling, as shown in the figure. The outerdiameter of the pipe is 6,0 in., its thickness is 0.25 in,, and its weightdensity is 0,053 1b/in3 the length of the pipe is L = 36 ft and the distancebetween lifting points is s = 11 ft.a. Determine the maximum bending stress in the pipe due to its ownweight,b. Find the spacing s between lift points which minimizes thebending stress. What is the minimum bebding stress?c. What spacing s leads to maximum bending stress? What is thatstress?3) The force, FT = 1 kN, and moment, MT = 0.5 kN-m, at the tip are caused by a wing tip vortexand a winglet, not shown. L = 12 m and the spar has an elastic modulus of E = 70 GPa and aPoisson’s ratio of n = 0.33. The mass of the wing is 4000 kg, and the weight of the engine is 107kN. Use 9.8 m/s 2 for the acceleration due to gravity.Consider the cross-section shown (you can look these up). Pay attention to the coordinate systemgiven in the drawing.d) where is the centroid?e) what is the area?f) Calculate the shear modulus
- 3) The force, FT = 1 kN, and moment, MT = 0.5 kN-m, at the tip are caused by a wing tip vortexand a winglet, not shown. L = 12 m and the spar has an elastic modulus of E = 70 GPa and aPoisson’s ratio of n = 0.33. The mass of the wing is 4000 kg, and the weight of the engine is 107kN. Use 9.8 m/s 2 for the acceleration due to gravity.Consider the cross-section shown (you can look these up). Pay attention to the coordinate systemgiven in the drawing.g) Compute each of these moments of inertia with the values b = 0.4 m, d =0.5 m , t =0.1 m.3) The force, FT = 1 kN, and moment, MT = 0.5 kN-m, at the tip are caused by a wing tip vortexand a winglet, not shown. L = 12 m and the spar has an elastic modulus of E = 70 GPa and aPoisson’s ratio of n = 0.33. The mass of the wing is 4000 kg, and the weight of the engine is 107kN. Use 9.8 m/s 2 for the acceleration due to gravity.Consider the cross-section shown (you can look these up). Pay attention to the coordinate systemgiven in the drawing.a) what is the moment of inertia about y-axis in terms of the symbolic dimensions shown?b) what is the moment of inertia about z-axis in terms of the symbolic dimensions shown?c) what is the polar moment of inertia in terms of the symbolic dimensions shown (i.e.about the x-axis)?d) where is the centroid?e) what is the area?f) Calculate the shear modulusg) Compute each of these moments of inertia with the values b = 0.4 m, d =0.5 m , t =0.1 m.A beam is subjected to equal bending moments of Mz = 44 kip·ft. The cross-sectional dimensions are b1 = 6.5 in., d1 = 1.5 in., b2 = 0.90 in., d2 = 6.2 in., b3 = 2.6 in., and d3 = 1.8 in. Determine:(a) the centroid location (measured with respect to the bottom of the cross-section), the moment of inertia about the z axis, and the controlling section modulus about the z axis.(b) the bending stress at point H. Tensile stress is positive, while compressive stress is negative.(c) the bending stress at point K. Tensile stress is positive, while compressive stress is negative.(d) the maximum bending stress produced in the cross section. Tensile stress is positive, while compressive stress is negative.
- l4//me shear and bending moment diagram as shown in figure. by graphical method. 132.5KN 122.5KN.m ) sgN/m b itwd L oe—dine—dConsider the beam section below where fc’ = 30 MPa, Es = 200 GPa, determine the bending stress of the steel section if M=180 KN-m in MPa. Express your final answer in two decimal places.Consider that the section is transmitting a positive bending moment about the z axis,Mz, where Mz=10 kip*in if the dimensions of the section are given in ips units, or Mz=1.13kN*m if the dimensions are in SI units. Determine the resulting stresses at the top and bottom surfaces and at every abrupt change in the cross section. Find the second moment of area, the location of the neutral axis, and the distances from the neutral axis to the top and bottom surfaces.