Mechanics of Materials
9th Edition
ISBN: 9780133254426
Author: Russell C. Hibbeler
Publisher: Prentice Hall
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Textbook Question
Chapter 12.4, Problem 12.67P
Determine the maximum deflection within region AB. 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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- Using Castigliano's theorem, derive an expression of the bending deflection at point B. A |B L/2 L/2arrow_forward2. Using the conjugate beam method, determine the maximum deflection of the beam. Use E = 10,000 ksi and I = 500 in4. 30 k A B -14 ft- -7 ft-arrow_forwardFor the beam shown, determine in terms of W, L, E, and I: The equation of the elastic curve The rotations at points A and B Deflection of point C The maximum deflection of the beam Check the results of parts b and c using the Area Moment Methodarrow_forward
- Determine the maximum deflection of the beam and the slope at A. Use Macaulay's brackets in your derivation, setting the origin at A, to find a single expression for the slope and deflection over the entire length of the beam. El is constant. Mo Mo Barrow_forwarddetermine the deflection at B in mm using Conjugate Beam Method. Consider 150 mm x 200 (b x h) mm section and E=80 GPa. Enter the absolute value only and round off your answer to 3 decimal places Answer asap. I ratearrow_forwardFor the beam loaded as shown, determine the deflection 6 ft from the wall. Use E = 1.5 x 106 psi and I = 40 in.* 80 lb/ft B 8 ftarrow_forward
- Given the 200mm x 400mm beam with the loading shown, determine: a. the amount of load P applied on the beam if the deflection on the midspan is 5 mm downward. b. by this same load P, what is the deflection and slope on the beam at point D? Set the parameters as a = 3m, L = 9m , E = 200 GPa. EI is constant.arrow_forwardFor the beam loaded as shown, use the method of superposition to determine the deflection of the beam at end A. Assume the following values: El = 2.8 x 104 kN-m² (constant for entire beam) L = 15 m w = 56 kN/m Answer: VA= i B W mm L Carrow_forwardfind the value of El such that the maximum deflection does not exceed 5mm 135 kN 90 kN 2 m 0.7 m 1 m 25 kN/m A AB C AD Rp=192.1 kN Rp= 100.4 kNarrow_forward
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