Mechanics of Materials (10th Edition)
10th Edition
ISBN: 9780134319650
Author: Russell C. Hibbeler
Publisher: PEARSON
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Chapter 12.3, Problem 12.49P
Determine the displacement at C and the slope at A. El is constant.
Prob. 12–49
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> Homework 4 - Spring 2025.pdf
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k 4 - Spring 2025.pdf (447 KB)
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1. A simply supported shaft is shown in Figure 1 with wo = 25 N/cm and M = 20 N cm. Use
singularity functions to determine the reactions at the supports. Assume EI = 1000 kN cm².
M
Wo
0 10 20 30 40 50 60 70
80 90
100 110 cm
Figure 1 - Problem 1
2. A support hook was formed from a rectangular bar. Find the stresses at the inner and outer
surfaces at sections just above and just below O-B.
210 mm
A distillation column with a total condenser and a partial reboiler is separating ethanol andwater at 1.0 atm. Feed is 0.32 mol fraction ethanol and it enters as a saturated liquid at 100mol/s on the optimum plate. The distillate product is a saturated liquid with 80 mol% ethanol.The condenser removes 5615 kW. The bottoms product is 0.05 mol fraction ethanol. AssumeCMO is valid.(a) Find the number of equilibrium stages for this separation. [6 + PR](b) Find how much larger the actual reflux ratio, R, used is than Rmin, i.e. R/Rmin. [3]Note: the heats of vaporization of ethanol and water are λe = 38.58 and λw = 40.645
Chapter 12 Solutions
Mechanics of Materials (10th Edition)
Ch. 12.2 - In each case, determine the internal bending...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 - El is constant. Prob. 124Ch. 12.2 - Determine the deflection of end C of the...Ch. 12.2 - Determine the elastic curve for the cantilevered...Ch. 12.2 - The A-36 steel beam has a depth of 10 in. and is...Ch. 12.2 - Determine the equations of the elastic curve using...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 equations of the elastic curve using...Ch. 12.2 - Draw the bending-moment diagram for the shaft and...Ch. 12.2 - Determine the maximum deflection of the beam and...Ch. 12.2 - The simply supported shaft has a moment of inertia...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 - The bar is supported by a roller constraint at B,...Ch. 12.2 - Determine the deflection at B of the bar in Prob....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 elastic curve for the cantilevered...Ch. 12.2 - Determine the equations of the elastic curve using...Ch. 12.2 - Determine the equations of the elastic curve using...Ch. 12.2 - The floor beam of the airplane is subjected to the...Ch. 12.2 - Determine the maximum deflection of the simply...Ch. 12.2 - The beam is made of a material having a specific...Ch. 12.2 - Determine the slope at end B and the maximum...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 is supported at A by a journal bearing...Ch. 12.3 - The shaft supports the two pulley loads shown....Ch. 12.3 - The beam is made of a ceramic material. If it is...Ch. 12.3 - Determine the equation of the elastic curve, the...Ch. 12.3 - The beam is subjected to the load shown. Determine...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 - The shaft supports the two pulley loads. Determine...Ch. 12.3 - Determine the maximum deflection of the...Ch. 12.3 - Determine the slope at A and the deflection of end...Ch. 12.3 - Determine the maximum deflection in region AB of...Ch. 12.3 - Prob. 12.42PCh. 12.3 - Prob. 12.43PCh. 12.3 - Prob. 12.44PCh. 12.3 - Prob. 12.45PCh. 12.3 - Prob. 12.46PCh. 12.3 - Prob. 12.47PCh. 12.3 - Determine the value of a so that the displacement...Ch. 12.3 - Determine the displacement at C and the slope at...Ch. 12.3 - Determine the equations of the slope and elastic...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 of end A of the...Ch. 12.4 - Determine the slope and deflection at A of the...Ch. 12.4 - Prob. 12.11FPCh. 12.4 - Determine the maximum deflection of the simply...Ch. 12.4 - Determine the slope and deflection at C. El is...Ch. 12.4 - Determine the slope and deflection at C. El is...Ch. 12.4 - Determine the deflection of end B of the...Ch. 12.4 - Prob. 12.54PCh. 12.4 - The composite simply supported steel shaft is...Ch. 12.4 - Prob. 12.56PCh. 12.4 - Prob. 12.57PCh. 12.4 - Determine the deflection at C and the slope of the...Ch. 12.4 - Determine the maximum deflection of the...Ch. 12.4 - Prob. 12.60PCh. 12.4 - Determine the position a of the roller support B...Ch. 12.4 - Prob. 12.62PCh. 12.4 - Determine the slope and the deflection of end B of...Ch. 12.4 - The two A-36 steel bars have a thickness of 1 in....Ch. 12.4 - Determine the slope at A and the displacement at...Ch. 12.4 - Determine the deflection at C and the slopes at...Ch. 12.4 - Determine the maximum deflection within region AB....Ch. 12.4 - Determine the slope at A and the maximum...Ch. 12.4 - Determine the slope at C and the deflection at B....Ch. 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 - Prob. 12.73PCh. 12.4 - The rod is constructed from two shafts for which...Ch. 12.4 - Prob. 12.75PCh. 12.4 - Determine the slope at point A and the maximum...Ch. 12.4 - Determine the position a of roller support B in...Ch. 12.4 - Determine the slope at B and deflection at C. El...Ch. 12.4 - Prob. 12.79PCh. 12.4 - Prob. 12.80PCh. 12.4 - Prob. 12.81PCh. 12.4 - Determine the maximum deflection of the beam. El...Ch. 12.5 - The W10 15 cantilevered beam is made of A-36...Ch. 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. 12.5 - The W14 43 simply supported beam is made of A-36...Ch. 12.5 - The W8 48 cantilevered beam is made of A-36 steel...Ch. 12.5 - The beam supports the loading shown. Code...Ch. 12.5 - The W24 104 A-36 steel beam is used to support...Ch. 12.5 - The W8 48 cantilevered beam is made of A-36 steel...Ch. 12.5 - The rod is pinned at its end A and attached to a...Ch. 12.5 - Prob. 12.94PCh. 12.5 - The pipe assembly consists of three equal-sized...Ch. 12.5 - The assembly consists of a cantilevered beam CS...Ch. 12.5 - Determine the smallest force F required to attract...Ch. 12.5 - Prob. 12.98PCh. 12.7 - Determine the reactions at the supports A and B,...Ch. 12.7 - Determine the reactions at the supports, then draw...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 - Determine the reactions at the supports A and B,...Ch. 12.7 - Determine the moment reactions at the supports A...Ch. 12.7 - Determine the reactions at the supports A and B,...Ch. 12.7 - Determine the reactions at the support A and B. EI...Ch. 12.7 - Determine the reactions at roller support A and...Ch. 12.7 - Determine the moment reactions at the supports A...Ch. 12.7 - The beam has a constant E1I1 and is supported by...Ch. 12.7 - The beam is supported by a pin at A, a roller at...Ch. 12.8 - Determine the moment reactions at the supports A...Ch. 12.8 - Determine the reaction at the supports, then draw...Ch. 12.8 - Determine the vertical reaction at the journal...Ch. 12.8 - Determine the reactions at the supports A and B,...Ch. 12.8 - Determine the reactions at the supports. EI is...Ch. 12.8 - Determine the vertical reaction at the journal...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 - Determine the reactions at the supports A and B....Ch. 12.9 - The beam is used to support the 20-kip load....Ch. 12.9 - Determine the reactions at the supports A and B....Ch. 12.9 - Determine the reactions at the supports A and B....Ch. 12.9 - Before the uniform distributed load is applied to...Ch. 12.9 - The fixed supported beam AB is strengthened using...Ch. 12.9 - The beam has a constant E1I1, and is supported by...Ch. 12.9 - The beam is supported by the bolted supports at...Ch. 12.9 - Each of the two members is made from 6061-T6...Ch. 12.9 - The beam is made from a soft linear elastic...Ch. 12.9 - The beam AB has a moment of inertia I = 475 in4...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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