Determine the x, y, and z components of internal moment acting at a section passing through point E on the left part of the body relative to the cross-section. Express your answers in newton-meters to three significant figures separated by commas. View Available Hint(s) IVE ΑΣΦΩΤ Mr, My, Mz = 525,- 250,0 Submit Previous Answers vec ? N.m

Determine the x, y, and z components of internal moment acting at a section passing through point E on the left part of the body relative to the cross-section. Express your answers in newton-meters to three significant figures separated by commas. View Available Hint(s) IVE ΑΣΦΩΤ Mr, My, Mz = 525,- 250,0 Submit Previous Answers vec ? N.m

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter5: Stresses In Beams (basic Topics)

Section: Chapter Questions

Problem 5.8.1P: The shear stresses t in a rectangular beam arc given by Eq. (5-43): in which Fis the shear force, /...

See similar textbooks

Similar questions

A cylindrical brick chimney of height H weighs w = 825 lb/ft of height (see figure). The inner and outer diameters are d1= 3 ft and d2= 4 ft, respectively. The wind pressure against the side of the chimney is p = 10 lb/ft2 of projected area. Determine the maximum height H if there is to be no tension in the brickwork.
Solve the preceding problem (W 250 × 44.8) if the resultant force P equals 110 kN and E = 200 GPa.
The shear stresses t in a rectangular beam arc given by Eq. (5-43): in which Fis the shear force, / is the moment of inertia of the cross-sectional area, /lis the height of the beam, and i] is the distance from the neutral axis to the point where the shear stress is being determined (Fig. 5-32). By integrating over the cross-sectional area, show that the resultant of the shear stresses is equal to the shear force V.
A thin-walled rectangular tube has uniform thickness t and dimensions a x b to the median line of the cross section (see figure). How does the shear stress in the tube vary with the ratio = a/b if the total length Lmof the median line of the cross section and the torque T remain constant? From your results, show that the shear stress is smallest when the tube is square (ß = 1).
Solve the preceding problem for a column with e = 0.20 in,, L = 12 ft, I = 2L7in4, and E = 30 × 106psi.
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.
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 vertical shaft 25 mm diameter and 0.75 m long is mounted in long bearings and carries a pulleyof mass 10 kg midway between the bearings. The centre of pulley is 0.5 mm from the axis of theshaft. Find (a) the whirling speed, and (b) the bending stress in the shaft, when it is rotating at 1700r.p.m. Neglect the mass of the shaft and E = 200 GN/m2.
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?
A shaft is made of a polymer having an elliptical cross section. If it resists an internal moment of M = 50 N # m, determine the maximum bending stress in the material (a) using the flexure formula, where Iz = 1 4 p(0.08 m)(0.04 m)3, (b) using integration. Sketch a three-dimensional view of the stress distribution acting over the cross-sectional area. Here Ix = 1 4 p(0.08 m)(0.04 m)3.
A stepped shaft ABC consisting of two solid,circular segments is subjected to uniformly distributedtorque t1 acting over segment 1 and concentratedtorque T2 applied at C, as shown in the figure. Segment1 of the shaft has a diameter of d1 = 57 mmand length of L1 = 0.75 m; segment 2 has a diameterd2 = 44 mm and length L2 = 0.5 m. Torque intensityt1 = 3100 N . m/m and T2 = 1100 N . m.(a) Find reaction torque TA at support A.(b) Find the internal torque T(x) at two locations:x = L1 /2 and at x =L1 + L2 /2. Show theseinternal torques on properly drawn free-bodydiagrams.
A 1.5-m-diameter cylindrical tank is formed of 6-mm-thick sheet steel (E = 200 Gpa, ν = 0.3). The maximum shear strain occurring in this tank when the contents pressure is 1 MPa, is: