Mechanics of Materials
9th Edition
ISBN: 9780133254426
Author: Russell C. Hibbeler
Publisher: Prentice Hall
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Textbook Question
Chapter 12.3, Problem 12.35P
The beam is subjected to the load shown. Determine the equation of the elastic curve. El is constant.
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Chapter 12 Solutions
Mechanics of Materials
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 - Prob. 12.4PCh. 12.2 - 12-5. Determine the deflection of end C of the...Ch. 12.2 - Prob. 12.6PCh. 12.2 - Prob. 12.7PCh. 12.2 - Determine the equations of the elastic curve using...Ch. 12.2 - Determine the equations of the elastic curve for...Ch. 12.2 - 12-10. Determine the equations of the elastic...Ch. 12.2 - 12-11. Determine the deflection at the center of...Ch. 12.2 - Prob. 12.12PCh. 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 - 12-15. The two wooden meter sticks are separated...Ch. 12.2 - Prob. 12.16PCh. 12.2 - Prob. 12.17PCh. 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 - Prob. 12.27PCh. 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 - 12-33. Determine the equation of the elastic...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 - 12-38. The beam is subjected to the loads shown....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 - 12-47. The shaft is made of steel and has a...Ch. 12.3 - Prob. 12.48PCh. 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 - Prob. 12.59PCh. 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 - Prob. 12.64PCh. 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 - Prob. 12.71PCh. 12.4 - Prob. 12.72PCh. 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 - 12-85. Determine the slope and deflection at end C...Ch. 12.5 - 12-86. Determine the slope at A and the deflection...Ch. 12.5 - Prob. 12.87PCh. 12.5 - Prob. 12.88PCh. 12.5 - 12-89. The W8 × 24 simply supported beam is made...Ch. 12.5 - 12-90. The simply supported beam carries a uniform...Ch. 12.5 - Prob. 12.91PCh. 12.5 - *12-92. The W10 × 30 cantilevered beam is made of...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 - *12-96. The framework consists of two A992 steel...Ch. 12.5 - Prob. 12.97PCh. 12.5 - 12-98. Determine the vertical deflection at the...Ch. 12.7 - Determine the reactions at the supports A and B,...Ch. 12.7 - Prob. 12.100PCh. 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 - Prob. 12.104PCh. 12.7 - 12-105. Use discontinuity functions and determine...Ch. 12.7 - Determine the reactions at the support A and B. EI...Ch. 12.7 - 12-107. Determine the reactions at pin support A...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 - Prob. 12.112PCh. 12.8 - Determine the vertical reaction at the journal...Ch. 12.8 - Determine the reactions at the supports A and B,...Ch. 12.8 - Prob. 12.115PCh. 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 - Prob. 12.118PCh. 12.9 - 12-119. Determine the reactions at the supports A,...Ch. 12.9 - Prob. 12.120PCh. 12.9 - 12-121. Determine the deflection at the end B of...Ch. 12.9 - Determine the reactions at the supports A and B....Ch. 12.9 - Prob. 12.123PCh. 12.9 - Before the uniform distributed load is applied to...Ch. 12.9 - The fixed supported beam AB is strengthened using...Ch. 12.9 - 12-126. Determine the force in the spring. EI is...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 - Prob. 12.130PCh. 12.9 - 12–131. The 1-in -diameter A-36 steel shaft is...Ch. 12.9 - Prob. 12.132PCh. 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...Ch. 12 - The rim on the flywheel has a thickness t, width...
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- Find the support reactions, draw the free-body diagram of the beams that shows the reactions and the equivalent loadings of the beams. Show the computation where P = 3 kN, M0 = 75 kN-m, w0 = 100 kN/m, a = b = c = 2.5 m, d = 1.75 marrow_forwardThe cantilevered beam has a rectangular crosssectional area A, a moment of inertia I, and a modulus of elasticity E. If a load P acts at point B as shown, determine the displacement at B in the direction of P, accounting for bending, axial force, and shear.arrow_forwardDetermine the bending strain energy in the simply supported beam. EI is constant.arrow_forward
- consider the beam shown in. EI is constant. assume that EI is in kip * ft2. determine the expression for the elastic curve using the coordinate x1 for 0 < x1 < 20 ft, where x1 is in feet. v1 in ft answer in terms of the variables x1, E and I. determine the expression for the elastic curve using the coordinate x2 for 0 < x2 < 10 ft where x2 is in feet. v2 in ft. answer in terms of the variables x2, E and I. specify the deflection of the beam at C. vc in ft. answer in terms of E and I. specify the slope at A, measured counterclockwise from the positive x1 axis. Theta A in rad. answer in terms of E and I.arrow_forwardFind the support reactions, draw the free-body diagram of the beams that shows the reactions and the equivalent loadings of the beams. Show the computation where Wo = 12 kN/m, P = 10 kN, a = 2 m, b = 2.5 m, c = 2marrow_forwardFind the support reactions, draw the free-body diagram of the beams that shows the reactions and the equivalent loadings of the beams. Show the computation where M1 = 125 lb-ft, M2 = 600 lb-ft, L = 18 ft, wo = 1000 lb/ftarrow_forward
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