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Unformatted text preview: V f
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a» “a ShearForce and BandingMoment Diagrams When solving the pmblemsfor Section 4.5, draw the shearforce and
bendingmoment 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. 4.51]
through 4.524 are numerical problems. The remaining problems (4.525
through 4.530) involve specialized topics, such as optimization, beams
with hinges. and moving loads. Problem 4.51 Draw the shearforce and bendingmoment diagrams for a P P
a simple beam AB supporting two equal concentrated loads P (see ﬁgure). r‘ ﬂ Vii—“.1 Problem 4.52 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 shearforce and bendingmoment diagrams for a cantilever beam AB carrying a uniform load of intensity q over
onehalf 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 bendingmoment diagrams for
this beam. Problem 4.55 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 shearforce and bendingmoment diagrams for this beam. Problem 4.55 A simple beam AB subjected to clockwise couples M ,
and 2Ml acting at the third points is shown in the ﬁgure.
Draw the shearforce and bendingmoment diagrams for this beam. 7 Problem 4.57 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 ShearForce and BendingMoment Diagrams 269 MW ShearForce and BondingMoment Diagrams WWW When solving the problems for Section 4.5, draw the shearforce and
bendingmoment diagrams approximately to scale and label all critical
ordinates, including the maximum and minimum values. Probs. 454 through 4.510 are symbolic problems and Prabs. 4.5]!
through 4.524 are numerical problems. The remaining problems (4.525
through 4.530} involve specialized topics, such as optimization, beams
with hinges, and moving loads. Problem 4.51 Draw the shearforce and bendingmoment diagrams for
a simple beam AB supporting two equal concentrated loads P (see ﬁgure). 270 cHAPTER 4 Shear Forces and Bending Moments Problem 4.52 A simple beam AB is subjected to a counterclockwise
couple of moment M0 acting at distance 4 from the lefthand support
(see ﬁgure). Draw the shearforce and bending—moment diagrams for this beam. “Mo(1~%~) Problem 4.53 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 ﬁgure). SECTION 4.5 ShearFace and BendingMoment Diagrams 271 Problem 4.54 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 shearforce and bendingmoment diagrams for this beam. Solution 4.54 Cantilever beam Problem 4.55 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 shearforce and bendingmoment diagrams for this beam. 272 CHAPTER 4 Shear Forces and Bending Moment Problem 4.56 A simple beam AB subjected to clockwise couples M .
and 2Ml acting at the third points is shown in the ﬁgure.
Draw the shearforce and bendingmoment diagrams for this beam. Problem 4.57 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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 Winter '06
 Lynch
 Second moment of area, 1%, 2mL, bendingmoment diagrams

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