Mechanics of Materials
11th Edition
ISBN: 9780137605460
Author: Russell C. Hibbeler
Publisher: Pearson Education (US)
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Chapter 12.4, Problem 60P
To determine
The slope of the shaft at the journal bearings at A and B
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*11-84. Determine, to the nearest millimeter, the smallest
allowable diameter of the shaft which is subjected to the
concentrated forces. There is a journal bearing at A and a
thrust bearing at B. The allowable bending stress is
stm = 150 MPa.
0.5m-
-0.4 m-
a6 m
12 kN
20 kN
The 50-mm-diameter shaft is supported by journal bearings at A and B. If the pulleys Cand D are subjected to the loadings shown, determine the absolute maximum bendingstress in the shaft.
11-87. The two salid steel rods are bolted together along
their length and support the loading shown. Assume the
support at A is a pin und B is a roller. Determine the
required diameter d of each of the rods if the allowable
bending stress is oulo = 130MPa.
*11-88. Solve Prob. 11-87 if the rods are rotated 90° so
that both rods rest an the supports at A (pin) and B (roller).
80 kN
20 kNjm
2m
2m
Chapter 12 Solutions
Mechanics of Materials
Ch. 12.2 - Determine the slope and deflection of end A of the...Ch. 12.2 - Determine the slope and deflection of end A of the...Ch. 12.2 - Determine the slope of end A of the cantilevered...Ch. 12.2 - Determine the maximum deflection of the simply...Ch. 12.2 - Determine the maximum deflection of the simply...Ch. 12.2 - Determine the slope of the simply supported beam...Ch. 12.2 - An L2 steel strap having a thickness of 0.125 in....Ch. 12.2 - The L2 steel blade of the band saw wraps around...Ch. 12.2 - A picture is taken of a man performing a pole...Ch. 12.2 - A torque wrench is used to tighten the nut on a...
Ch. 12.2 - The pipe can be assumed roller supported at its...Ch. 12.2 - Determine the equations of the elastic curve for...Ch. 12.2 - Determine the equations of the elastic curve using...Ch. 12.2 - Determine the maximum deflection of the solid...Ch. 12.2 - Determine the equation of the elastic curve using...Ch. 12.2 - Determine the equations of the elastic curve using...Ch. 12.3 - The shaft supports the two pulley loads shown....Ch. 12.3 - Determine the equation of the elastic curve, the...Ch. 12.3 - Determine the equation of the elastic curve and...Ch. 12.3 - Determine the maximum deflection of the...Ch. 12.3 - Prob. 45PCh. 12.3 - Prob. 46PCh. 12.3 - Prob. 47PCh. 12.3 - Prob. 48PCh. 12.4 - Determine the slope and deflection of end A of the...Ch. 12.4 - Determine the slope and deflection of end A of the...Ch. 12.4 - Determine the slope and deflection of end A of the...Ch. 12.4 - Determine the slope and deflection at A of the...Ch. 12.4 - Prob. 11FPCh. 12.4 - Determine the maximum deflection of the simply...Ch. 12.4 - Determine the slope and deflection at C. El is...Ch. 12.4 - Prob. 54PCh. 12.4 - The composite simply supported steel shaft is...Ch. 12.4 - Determine the maximum deflection of the...Ch. 12.4 - Prob. 60PCh. 12.4 - Determine the slope at A and the maximum...Ch. 12.4 - Determine the displacement of the 20-mm-diameter...Ch. 12.4 - The two force components act on the tire of the...Ch. 12.4 - Determine the slope at B and deflection at C. El...Ch. 12.4 - Prob. 79PCh. 12.5 - The W10 15 cantilevered beam is made of A-36...Ch. 12.5 - The W14 43 simply supported beam is made of A992...Ch. 12.5 - The W14 43 simply supported beam is made of A992...Ch. 12.5 - The W14 43 simply supported beam is made of A-36...Ch. 12.7 - Determine the reactions at the supports A and B,...Ch. 12.7 - Determine the reactions at the supports A, B, and...Ch. 12.7 - Determine the reactions at the supports A and B,...Ch. 12.7 - The beam has a constant E1I1 and is supported by...Ch. 12.8 - Determine the reaction at the supports, then draw...Ch. 12.9 - Determine the reactions at the fixed support A and...Ch. 12.9 - Determine the reactions at the fixed support A and...Ch. 12.9 - Determine the reactions at the fixed support A and...Ch. 12.9 - Determine the reaction at the roller B. EI is...Ch. 12.9 - Determine the reaction at the roller B. EI is...Ch. 12.9 - Determine the reaction at the roller support B if...Ch. 12.9 - Determine the reactions at the journal bearing...Ch. 12.9 - Determine the reactions at the supports, then draw...Ch. 12.9 - Determine the reactions at the supports, then draw...Ch. 12.9 - The rim on the flywheel has a thickness t, width...Ch. 12.9 - Determine the moment developed in each corner....Ch. 12 - Determine the equation of the elastic curve. Use...Ch. 12 - Draw the bending-moment diagram for the shaft and...Ch. 12 - Determine the moment reactions at the supports A...Ch. 12 - Specify the slope at A and the maximum deflection....Ch. 12 - Determine the maximum deflection between the...Ch. 12 - Determine the slope at B and the deflection at C....Ch. 12 - Determine the reactions, then draw the shear and...Ch. 12 - El is constant.Ch. 12 - Using the method of superposition, determine the...
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- 9-21. Determine the slope and displacement at point C. Use the principle of virtual work. El is constant. 9-22. Solve Prob. 9-21 using Castigliano's theorem. A 6 kN/m 3 m C 15 kN Probs. 9-21/22 3 m Barrow_forward*11-76. Determine the absolute maximum bending stress in the tubular shaft if de - 160mm and d. - 200 mm. 15 kN /m 60 kN m -3marrow_forwardDetermine the absolute maximum bending stress in the 1.5-in.-diameter shaft. The shaft is supported by a thrust bearing at A and a journal bearing at B.arrow_forward
- Determine the slope of the shaft at the bearing support A. EI is constant.arrow_forwardBar ABC has a rectangular cross section of 300 mm by 100 mm. The attached rod DB has a diameter of 20 mm. If both members are made of A-36 steel, determine the slope at A due to the loading. Consider only the effect of bending in ABC and axial force in DB.arrow_forwardThe steel shaft has a diameter of 2 in. It is supported on smooth journal bearings A and B, which exert only vertical reactions on the shaft. Determine the absolute maximum bending stress in the shaft if it is subjected to the pulley loadings shown.arrow_forward
- Determine the absolute maximum bending stress in the 2-in.-diameter shaft. There is a journal bearing at A and a thrust bearing at B.arrow_forwardThe shaft is subjected to the vertical and horizontal loadings of two pulleys D and E as shown. It is supported on two journal bearings at A and B which offer no resistance to axial loading. Furthermore, the coupling to the motor at C can be assumed not to offer any support to the shaft. Determine the required diameter d of the shaft if the allowable bending stress is sallow = 180 MPa.arrow_forwardI1-63. The shaft is supported by smooth journal bearings at A and B that only exert vertical reactions on the shaft. Determine its smallest diameter d if the alkowable bending stres is = 180 MPa. 12 kN/m 15marrow_forward
- Determine the absolute maximum bending stress in the 80-mm-diameter shaft which is subjected to the concentrated forces. There is a journal bearing at A and a thrust bearing at B.arrow_forwardDetermine the shape factor of the cross section.arrow_forwardDetermine the smallest allowable diameter of the shaft. The shaft is supported by a thrust bearing at A and a journal bearing at B. The allowable bending stress is sallow = 22 ksi.arrow_forward
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