Problem 3: Draw the free body, shear, and moment diagrams for the axle of a freight car subjected of a wheel loading of 20 kip. It is supported by two journal bearings at C and D. The diameter is 5.5 in. Determine the maximum bending stress developed in the axle. 10 in. 20 kip 60 in. B D 10 in. 20 kip

Problem 3: Draw the free body, shear, and moment diagrams for the axle of a freight car subjected of a wheel loading of 20 kip. It is supported by two journal bearings at C and D. The diameter is 5.5 in. Determine the maximum bending stress developed in the axle. 10 in. 20 kip 60 in. B D 10 in. 20 kip

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter3: Torsion

Section: Chapter Questions

Problem 3.11.5P: A square tube section has side dimension of 20 in. arid thickness of 0.5 in. If the section is used...

See similar textbooks

Similar questions

The internal loadings at a cross section through the 120-mm-diameter drive shaft of a turbine consist of an axial force of 12.5 kN, a bending moment of 1.2 kN - m, and a torsional moment of 2.25 kN m. (Eigure 1). Figure 1.2 kN-m 12.5 kN 1 of 1 2.25 kN-m
Assign the values of shear force and bending moment to the image bar as a function of the x coordinate.q=20kN/mF=14kNM=12kNmL1=1.2mL2=1.4mL3=1.3mL4=1.5m Maximum value of bending torque Mmax = ???Maximum position of bending moment x = ??? Use units (kN,m), Do not round the invoices in the intermediate stages, but only the final answer!
The 1.5-in diameter solid steel shaft is simply supported at the ends. Two Pulleys are keyed to the shaft where pulley B is of diameter of 4 in and pulley C is of diameter of 8 in. Transverse shear stress needs to be considered. 1) Draw the bending moment diagrams of shaft AD for My and M₂, and indicate the location and the magnitude of the maximum bending moments. 10 in 200 lbf 1000 lbf 10 in 500 lbf 100 lbf 10 in F G E
3. Torques are added to the beam at points B and D as shown. T₁ = 5 kip-feet, and T2 = 2 kip-feet: w = 2 kips/foot Load P = 12 kips Load F = 8 kips Moment Load M = 6 kip-feet Torque T₁ = 5 kip-feet Torque T₂ = 2 kip-feet T₁ K12 in. 2 ft 2P B2P C 86100 Bronze 3 ft 8 in. 304 Stainless steel- CP T₂ 4 in. 3 ft a. Draw the Torque diagram for the beam: b. Determine the torsional shear stress at points J & K (the torsional shear stress will be the same at points J & K).
Chapter 4: Practice problems f 1 kN, 2 kN and 3 kN at 1, 2 and 4 m 1. A cantilever beam of length 4 m carries point loads from the fixed end. Construct the shear force and bending moment diagrams for the cantilever. 1m A 1 kN 2m 8 4m 1m 4 kN C + 2. A simply supported beam of length 8 m carries point loads of 4 kN and 6 kN at a distance of 2 m and 4 m from the left end. Construct the shear force and bending moment diagram for the beam. 2m 2 kN 8 m C + 6 kN 2m D 3 kN D 4. Draw the shear force and bending moment diagram for a simply supported beam of length 9 m and carrying a uniformly distributed load of 10 kN/m for a distance of 6 m from the left end. Also calculate the maximum B.M. on the section. 3. A cantilever of length 2.0 m carries a uniformly distributed load of 2 kN/m length over the whole length and a point load of 3 kN at the free end. Draw the S.F. and B.M. diagrams for the cantilever beam. References: [1] A text book of Mechanics of materials by Dr.R.K.Bansal, Laxmi…
Compute the maximum bending moment, maxi- mum deflection and the maximum bending stress for a railroad rail subjected to a single wheel load of 100 kN. The foundation modulus k = 15 MN / m². Assume that I = 400 × 10-8 m², E = 200 GN/m², the depth of the rail is 180 mm and that the distance of the centroidal axis of the cross-section of the rail from the top surface is 100 mm.
For the figure below, draw free-body diagrams for both the vertical and horizontal portions of the structure supporting the pulley and determine all reaction forces and moments. Then determine the shear and bending moment diagrams for both portions of the structure. Assume the mass of the structure and pulley are negligible. 48 in. 12 in. Cable 100 lb 12 in. pulley rad. 27 in. Cable 100 lb
Find the shear force and bending moment at points B and D. Note: B lies just to the right of the 150 lbf force and D is just to the right of the bearing at C. The bearing at A is a thrust bearing, while the bearing at C is a journal bearing. 150 lb A Answer: VB = -100 lbf MB = 750 lbf in VD = 75lbf Mp = -750 lbf in I 15 in. B 15 in. C. D 75 lb 10 in.
Q4 A // Draw the S.F and B.M diagrams to specify the following. (A): max. value and locations of shear force and bending moments. * 2 ANim- 5 kN 4 kN/m- 15 m D -15m -3 m 6m Vmax=9 kN @ x= 6m Vmax=8 kN @ x= 6m Vmax=9 kN @ x= 6m Not of all above
A 18-mm-diameter solid steel shaft supports loads PA = 1,400 N and Pc = 2,100 N as shown. Assume L₁ = 100 mm, L₂ = 200 mm, and L3 = 150 mm. The bearing at B can be idealized as a roller support and the bearing at D can be idealized as a pin support. The moment of inertia of the shaft is 5153 mm4. Determine the magnitude of the maximum bending stress in the shaft. B O 150.2 MPa O 317.3 MPa O 205.6 MPa O 244.5 MPa O 266.8 MPa L₂ Pc L3
Smooth journal bearings at A and B that only exert vertical reactions on the shaft as shown below support the shaft. Based on the loading and support conditions shown, address the following: (a) Sketch the shear and moment diagrams using the graphical method - label all significant conditions. (b) If d = 90 mm, determine the absolute maximum bending stress in the beam, and sketch the stress distribution acting over the cross section. A 3 m 12 kN/m B 1.5 m
Use the graphical method to construct the shear-force and bending-moment diagrams for the beam shown. Let a = 5 m, b = 3 m, PB = 55 kN, Pc = 75 kN, and PE = 25 kN. Construct the shear-force and bending-moment diagrams on paper and use the results to answer the questions in the subsequent parts of this GO exercise. a PB Answer: Ay = i BO PB a B Pc a Calculate the reaction forces Ay and Dy acting on the beam. Positive values for the reactions are indicated by the directions of the red arrows shown on the free-body diagram below. (Note: Since Ax = 0, it has been omitted from the free-body diagram.) D Pc D a D₂ PE a PE E kN, Dy= i -x E X kN.