Mechanics of Materials
11th Edition
ISBN: 9780137605460
Author: Russell C. Hibbeler
Publisher: Pearson Education (US)
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Textbook Question
Chapter 6.4, Problem 89P
If the compound beam in Prob. 6–42 has a square cross section of side length a, determine the minimum value of a if the allowable bending stress is σallow = 150 MPa.
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Chapter 6 Solutions
Mechanics of Materials
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Ch. 6.2 - Prob. 3PCh. 6.2 - Express the shear and moment in terms of x for 0 ...Ch. 6.2 - Express the internal shear and moment in the...Ch. 6.2 - Draw the shear and moment diagrams for the shaft....Ch. 6.2 - Determine the shear and moment as functions of x,...Ch. 6.2 - Determine the shear and moment as functions of x,...Ch. 6.2 - Determine the shear and moment as functions of x,...Ch. 6.2 - Determine the shear and moment in the double...Ch. 6.2 - Draw the shear and moment diagrams for the...Ch. 6.2 - Draw the shear and moment diagrams for the shaft....Ch. 6.2 - Draw the shear and moment diagrams for the...Ch. 6.2 - Draw the shear and moment diagrams for the...Ch. 6.2 - Draw the shear and moment diagrams for the...Ch. 6.2 - Prob. 16PCh. 6.2 - Draw the shear and moment diagrams for the simply...Ch. 6.2 - Prob. 19PCh. 6.2 - Draw the shear and moment diagrams for the beam.Ch. 6.2 - Draw the shear and moment diagrams for the...Ch. 6.2 - The 150-lb man sits in the center of the boat,...Ch. 6.2 - Prob. 24PCh. 6.2 - Draw the shear and moment diagrams for the beam.Ch. 6.2 - Prob. 26PCh. 6.2 - Draw the shear and moment diagrams for the beam....Ch. 6.2 - Prob. 29PCh. 6.2 - Prob. 30PCh. 6.2 - Prob. 31PCh. 6.2 - Prob. 34PCh. 6.2 - Prob. 35PCh. 6.2 - The beam is used to support a uniform load along...Ch. 6.2 - Prob. 39PCh. 6.2 - Prob. 42PCh. 6.2 - Prob. 43PCh. 6.2 - Prob. 44PCh. 6.2 - Prob. 45PCh. 6.2 - The truck is to be used to transport the concrete...Ch. 6.4 - If the beam is subjected to a bending moment of M...Ch. 6.4 - If the beam is subjected to a bending moment of M...Ch. 6.4 - If the beam is subjected to a bending moment of M...Ch. 6.4 - If the beam is subjected to a bending moment of M...Ch. 6.4 - If the beam is subjected to a bending moment of M...Ch. 6.4 - Determine the moment M that will produce a maximum...Ch. 6.4 - Determine the maximum tensile and compressive...Ch. 6.4 - The beam is constructed from four pieces of wood,...Ch. 6.4 - The beam is constructed from four pieces of wood,...Ch. 6.4 - The beam is made from three boards nailed together...Ch. 6.4 - The beam is made from three boards nailed together...Ch. 6.4 - Prob. 54PCh. 6.4 - The tubular shaft is supported by a smooth thrust...Ch. 6.4 - Prob. 57PCh. 6.4 - If the beam is subjected to an internal moment or...Ch. 6.4 - If the beam is made of material having an...Ch. 6.4 - Prob. 60PCh. 6.4 - Prob. 61PCh. 6.4 - The beam is subjected to a moment of M = 40 kN m....Ch. 6.4 - The steel shaft has a diameter of 2 in. 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- The simply supported joist is used in the construction of a floor for a building. In order to keep the floor low with respect to the sill beams C and D, the ends of the joist are notched as shown. If the allowable shear stress is tallow = 350 psi and the allowable bending stress is s allow = 1700 psi, determine the smallest height h so that the beam will support a load of P = 600 lb. Also, will the entire joist safely support the load? Neglect the stress concentration at the notch.arrow_forwardDetermine the minimum width of the beam to the nearest 1/4 in. that will safely support the loading of P = 8 kip. The allowable bending stress is sallow = 24 ksi and the allowable shear stress is tallow = 15 ksi.arrow_forwardThe bar is subjected to a moment of M = 100 N # m. Determine the maximum bending stress in the bar and sketch, approximately, how the stress varies over the critical section.arrow_forward
- The axle of the freight train is subjected to loadings as shown below. The diameter of the axle is 137.5 mm. If it is supported by two journal bearings at C and D, determine the maximum bending stress. Include a FBD, SFD and BMD using either the section or graphical method. Draw a cross-section of the shaft and indicate the points of maximum tension and compression. A B 250 mm 100 kN 1500 mm- Answer 0= +98 MPa 250 mm 100 kNarrow_forwardThe wooden section of the beam is reinforced with two steel plates as shown. If the beam is subjected to a moment of M = 30 kN # m, determine the maximum bending stresses in the steel and wood. Sketch the stress distribution over the cross section. Take Ew = 10 GPa and Est = 200 GPa.arrow_forwardThe curved member is subjected to the moment of M = 50 kN # m. Determine the percentage error introduced in the calculation of maximum bending stress using the flexure formula for straight members.arrow_forward
- 5. If the radius of each notch on the pictured bending plate is r = 10 mm, determine the largest moment M that can be applied if the loading is of fatigue nature and the maximum allowable bending stress is 180 MPa. 20 mm 125 mm- 165 mm Marrow_forwardThe allowable bending stress for the bar is sallow = 200 MPa. Determine the maximum moment M that can be applied to the bar.arrow_forwardThe strut has a square cross section a by a and is subjected to the bending moment M applied at an angle as shown. Determine the maximum bending stress in terms of a, M, and u. What angle u will give the largest bendingstress in the strut? Specify the orientation of the neutral axis for this case.arrow_forward
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