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# Solid&Struct Mech CEE 212

UM

GPA 3.76

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This 12 page Class Notes was uploaded by Karson Dicki on Thursday October 29, 2015. The Class Notes belongs to CEE 212 at University of Michigan taught by Jerome Lynch in Fall. Since its upload, it has received 13 views. For similar materials see /class/231670/cee-212-university-of-michigan in Civil and Environmental Engineering at University of Michigan.

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Date Created: 10/29/15

a x Q wwwm m w w W MWWQWW M mw k mmwxw mm aw Mi W 1 f 39 a k wxm W ShearForce and BandingMoment Diagrams When solving the pmblemsfor Section 45 draw the shearforce and bendingmoment diagrams approximately to scale and label all critical ordinates including the maximum and minimum values Probs 45 through 45 10 are symbolic problems and Probs 451 through 4524 are numerical problems The remaining problems 4525 through 4530 involve specialized topics such as optimization beams with hinges and moving loads Problem 451 Draw the shearforce and bendingmoment diagrams for a P P a simple beam AB supporting two equal concentrated loads P see gure r Vii 1 A M Problem 452 A simple beam AB is subjected to a counterclockwise couple of moment M0 acting at distance a from the left hand support see gure 39 Draw the shear force and bending moment diagrams for this beam Problem 45 3 Draw the shearforce and bendingmoment diagrams for a cantilever beam AB carrying a uniform load of intensity q over one half of its length see gure Problem 454 The cantilever beam AB shown in the figure is subjected to a concentrated load P at the midpoint and a counterclockwis couple of moment M l PL4 at the free end Draw the shearforce and bendingmoment diagrams for this beam Problem 455 The simple beam AB shown in the figure is subjected to 11 M1 fall a concentrated load P and a clockwise couple M l PL4 acu39ng at the third points Draw the shearforce and bendingmoment diagrams for this beam Problem 455 A simple beam AB subjected to clockwise couples M and 2Ml acting at the third points is shown in the gure Draw the shearforce and bendingmoment diagrams for this beam 7 Problem 457 A simply supported beam ABC is loaded by a vertical load P acting at the end of a bracket BDE see gure Draw the shear force and bending moment diagrams for beam ABC Mb I SECTION 45 ShearForce and BendingMoment Diagrams 269 ShearForce and BondingMoment Diagrams When solving the problems for Section 45 draw the shearforte and bendingmoment diagrams approximately to scale and label all critical ordinates including the maximum and minimum values Prabs 451 through 4510 are symbolic problems and Probs 45 through 4524 are numerical problems The remaining problems 4525 through 4530 involve specialized topics such as optimization beams with hinges and moving loads Problem 451 Draw the shearforce and bendingmoment diagrams for P a Simple beam AB Supporting two equal concentrated loads P see gure r a i Prue 1 A Solution 45 1 Simple beam 270 cHAPTER 4 Shear Forces and Bending Moments Problem 452 A siInple beam AB is subjected to a counterclockwise couple of moment M0 acting at distance 4 from the lefthand support see gure Draw the shearforce and bending moment diagrams for this beam Solution 454 Simple beam Mo1quot Problem 453 Draw the shearforce and bending moment diagrams for a cantilever beam AB carrying a uniform load of intensity q over one half of its length see gure Solution 453 Cantilever beam SECTION 45 ShearFame and BendingMama Diagrams 271 Problem 454 The cantilever beam AB shown in the gure P M FL is subjected to a concentrated load P at the midpoint and a z 1 k 1 T counterclockwise couple of moment M l PL4 at the free end W Draw the shearforce and bendingmoment diagrams for this beam Solution 454 Cantilever beam L22 LIZ RA 2 M 17 4 Problem 455 The simple beam AB shown in the figure is subjected to 1P M 131 a concentrated load P and a clockwise couple M1 PLI4 acting at the M third points Draw the shearforce and bendingmoment diagrams for this beam Solution 455 Simple beam 7P 12 W gt PL18

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