Class 14 - Introduction to Bending

Structural Analysis (6th Edition)

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Unformatted text preview: V f 1%”? a“. gem 33% a» “a Shear-Force and Banding-Moment Diagrams When solving the pmblemsfor Section 4.5, draw the shearforce and bending-moment diagrams approximately to scale and label all critical ordinates, including the maximum and minimum values. Probs. 4.5-] through 4.5—10 are symbolic problems and Probs. 4.5-1] through 4.5-24 are numerical problems. The remaining problems (4.5-25 through 4.5-30) involve specialized topics, such as optimization, beams with hinges. and moving loads. Problem 4.5-1 Draw the shear-force and bending-moment diagrams for a P P a simple beam AB supporting two equal concentrated loads P (see figure). r‘ fl Vii—“.1 Problem 4.5-2 A simple beam AB is subjected to a counterclockwise couple of moment M0 acting at distance a from the left—hand support (see figure). ' Draw the shear—force and bending—moment diagrams for this beam. Problem 4.5*3 Draw the shear-force and bending-moment diagrams for a cantilever beam AB carrying a uniform load of intensity q over one-half of its length (see figure). Problem 4.5.4 The cantilever beam AB shown in the figure is subjected to a concentrated load P at the midpoint and a counterclockwise couple of moment M l = PL/4 at the free end. Draw the shear~force and bending-moment diagrams for this beam. Problem 4.5-5 The simple beam AB shown in the figure is subjected to 11’ A M: fall- a concentrated load P and a clockwise couple M l = PL/4 acu'ng at the third points. Draw the shear-force and bending-moment diagrams for this beam. Problem 4.5-5 A simple beam AB subjected to clockwise couples M , and 2Ml acting at the third points is shown in the figure. Draw the shear-force and bending-moment diagrams for this beam. 7- Problem 4.5-7 A simply supported beam ABC is loaded by a vertical load P acting at the end of a bracket BDE (see figure). Draw the shear—force and bending—moment diagrams for beam ABC. SECTION 4.5 Shear-Force and Bending-Moment Diagrams 269 MW Shear-Force and Bonding-Moment Diagrams WWW When solving the problems for Section 4.5, draw the shear-force and bending-moment diagrams approximately to scale and label all critical ordinates, including the maximum and minimum values. Probs. 454 through 4.5-10 are symbolic problems and Prabs. 4.5-]! through 4.5-24 are numerical problems. The remaining problems (4.5-25 through 4.5-30} involve specialized topics, such as optimization, beams with hinges, and moving loads. Problem 4.5-1 Draw the shear-force and bending-moment diagrams for a simple beam AB supporting two equal concentrated loads P (see figure). 270 cHAPTER 4 Shear Forces and Bending Moments Problem 4.5-2 A simple beam AB is subjected to a counterclockwise couple of moment M0 acting at distance 4 from the left-hand support (see figure). Draw the shear-force and bending—moment diagrams for this beam. “Mo(1~-%~) Problem 4.5-3 Draw the shear-force and bending—moment diagrams for a cantilever beam AB carrying a uniform load of intensity q over one—half of its length (see figure). SECTION 4.5 Shear-Face and Bending-Moment Diagrams 271 Problem 4.5-4 The cantilever beam AB shown in the figure is subjected to a concentrated load P at the midpoint and a counterclockwise couple of moment M l = PL/4 at the free end. Draw the shear-force and bending-moment diagrams for this beam. Solution 4.5-4 Cantilever beam Problem 4.5-5 The simple beam AB shown in the figure is subjected to a concentrated load P and a clockwise couple M l = PLI4 acting at the third points. , Draw the shear-force and bending-moment diagrams for this beam. 272 CHAPTER 4 Shear Forces and Bending Moment Problem 4.5-6 A simple beam AB subjected to clockwise couples M . and 2Ml acting at the third points is shown in the figure. Draw the shear-force and bending-moment diagrams for this beam. Problem 4.5-7 A simply supported beam ABC is loaded by a vertical load P acting at the end of a bracket BDE (see figure). Draw the shear—force and bending~moment diagrams for beam ABC. ...
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This note was uploaded on 02/01/2008 for the course CEE 212 taught by Professor Lynch during the Winter '06 term at University of Michigan.

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Class 14 - Introduction to Bending - V f 1%”? a“. gem...

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