Mechanics of Materials (10th Edition)
10th Edition
ISBN: 9780134319650
Author: Russell C. Hibbeler
Publisher: PEARSON
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Chapter 12, Problem 12.6RP
Determine the slope at B and the deflection at C. Use the moment-area theorems. El is constant.
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Using Moment-Area Method, determine the slope at A and B and the deflection at point B of the loaded beam shown. Use E = 150 GPa and I = 110x106 mm4. (Please show moment diagrams by parts)
Problem 1. Use the moment-area theorems and determine the slope at A and displacement at C.
El is constant. Ignore the self-weight of the beam.
10 kN
A
2 m
4m
C
Figure 1
4 m
Problem 2. Solve Problem 1 using the conjugate-beam method.
B
Solve using Moment -Area Method.
Determine the support reactions of the beam shown.
El is constant for the entire beam.
40KN/m
20kN/m
C
A
В
4m
4m
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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- solve it asap. i Will rate accordingly.arrow_forwardUse the conjugate-beam method and determine the slope just to the left and just to the right of the pin at B. Also, determine the deflection at D. Assume the beam is fixed supported at A, and that C is a roller. Take M = 20 kN m, L = 7 m and EI = 10000 KNM². M A В C D' L Part 1) The magnitude of slope just to the left of the pin at B, O BL = 2 10 3 rad Your last answer was interpreted as follows: 2 Part 2) The magnitude of slope just to the right of the pin at B, 0 BR = 1 10 3 rad Your last answer was interpreted as follows: 1 Part 3) The magnitude of displacement at D, Ap= |1 mm Your last answer was interpreted as follows:1arrow_forwardBeams ABC and CD are supported at A, C,and D and are joined by a hinge (or moment release)just to the left of C. The support at A is a sliding support(hence reaction Ay = 0 for the loading shownbelow). Find all support reactions; then plot shear (V)and moment (M) diagrams. Label all critical V andM values and also the distance to points where eitherV and/or M are zero.arrow_forward
- Determine the end moment and maximum deflection of the given restrained beam. Use the Area Moment Method.arrow_forwardDetermine the slope at point A and the deflection at point C. (E = 200 Gpa)arrow_forwardDraw the shear-force and the bending-moment diagrams and specify the maximum values and their locations on the beam. only Handwitten answer needed please. do not typearrow_forward
- Nonearrow_forward6. Plot the bending moment diagram for the multi-span beam without calculating the support reactions. B D E F a a a a a a 2 2 2arrow_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 W = 630 lb/ft, L = 8 ftarrow_forward
- For the beam shown, use the Area Moment Method to determine in terms of W, L, E, and I: The rotations at points A and B Deflection of point Carrow_forwardDraw the shear diagram for the beam. Follow the sign convention. Draw the moment diagram for the beam. Follow the sign convention.arrow_forwardDetermine the internal normal force and shear force, and the bending moment in the beam at points C and D. Assume the support at B is a roller. Point C is located just to the right of the 8-kip load.arrow_forward
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