Mechanics of Materials
11th Edition
ISBN: 9780137605460
Author: Russell C. Hibbeler
Publisher: Pearson Education (US)
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The tank of the air compressor is subjected to an internal pressure of 90 psi. If the inner diameter of the tank is 22 in., and the wall thickness is 0.25 in., determine the stress components acting at point A. Draw a volume element of the material at this point, and show the results on the element.
The bent shaft is fixed in the wall at A. If a force F is applied at B (the force is acting on the
plane parallel to the x-o-y plane). Take F = 54 N and 0 = 45°.
1. Determine the internal forces acting on the section containing points D and E
2. Determine the normal stress component acting at point E
3. Determine the shear stress component developed at point E
4. Draw the state of stress on a volume element (stress element) located at point E
5. Determine the principal stresses acting at point E by constructing Mohr's circle
A
150 mm
E
200 mm
30 mm
75 mm
B
F
The steel bracket is used to connect the ends of two cables. If the applied force P = 1.50 kip, determine the maximum normal stress in the bracket. Assume the bracket is a rod having a diameter of 1.5 in.
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- Air is pumped into the steel thin-walled pressure vessel at C. If the ends of the vessel are closed using two pistons connected by a rod AB, determine the increase in the diameter of the pressure vessel when the internal gage pressure is 5 MPa. Also, what is the tensile stress in rod AB if it has a diameter of 100 mm? The inner radius of the vessel is 400 mm, and its thickness is 10 mm. Est = 200 GPa and nst = 0.3.arrow_forwardThe steel water pipe has an inner diameter of 12 in. and a wall thickness of 0.25 in. If the valve A is closed and the water pressure is 300 psi, determine the longitudinal and hoop stress developed in the wall of the pipe at point B. Draw the state of stress on a volume element located on the wall.arrow_forwardThe 10-mm-diameter steel bolt is surrounded by a bronze sleeve. The outer diameter of this sleeve is 20 mm, and its inner diameter is 10 mm. If the bolt is subjected to a compressive force of P = 20 kN, determine the average normal stress in the steel and the bronze. Est = 200 GPa, Ebr = 100 GPa.arrow_forward
- The clamp presses the smooth surface at E when tightening the screw. If the tension in the bolt is 40 kN, determine the principal stress at points A and B and show the results on the elements located at each of these points. The cross-sectional area at A and B is shown in the adjacent figure. 300 mm 50 mm 30 mm 100 mm B 25 mm A 100 mm -50 mmarrow_forwardThe thin-walled pipe has an inner diameter of 0.5 in. and a thickness of 0.025 in. If it is subjected to an internal pressure of 500 psi and the axial tension and torsional loadings shown, determine the principal stress at a point on the surface of the pipe.arrow_forwardDetermine the maximum distance d to the edge of the plate at which the force P can be applied so that it produces no compressive stresses on the plate at section a–a. The plate has a thickness of 20 mm and P acts along thecenterline of this thickness.arrow_forward
- The plate has a thickness of 20 mm and width s = 260 mm. Force P acts along the centerline of this thickness. Determine the maximum distance d at which the force P can be applied so that it produces no compressive stresses on the plate at section a-a.arrow_forwardThe observation cage C has a weight of 250 kip and through a system of gears, travels upward at constant velocity along the A-36 steel column, which has a height of 200 ft. The column has an outer diameter of 3 ft and is made from steel plate having a thickness of 0.25 in. Neglect the weight of the column, and determine the average normal stress in the column at its base, B, as a function of the cage’s position y. Also, determine the displacement of end A as a function of y.arrow_forwardThe copper pipe has an outer diameter of 3 in. and an inner diameter of 2.5 in. If it is tightly secured to the wall at C and a uniformly distributed torque is applied to it as shown, determine the shear stress at points A and B. These points lie on the pipe’s outer surface. Sketch the shear stress on volumeelements located at A and B.arrow_forward
- The sign is subjected to the uniform wind loading. Determine the stress components at points C and D on the 100-mm-diameter supporting post. Show the results on a volume element located at each of these points.arrow_forwardDetermine the normal stress and shear stress acting on the inclined plane AB. Sketch the result on the sectioned element.arrow_forwardThe sign is subjected to the uniform wind loading. Determine the stress components at points A and B on the 100-mm-diameter supporting post. Show the results on a volume element located at each of these points.arrow_forward
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