Mechanics of MaterialsFor undergraduate Mechanics of Materials courses in Mechanical, Civil, and Aerospace Engineering departments. Containing Hibbeler's hallmark student-oriented features, this text is in four-color with a photorealistic art program designed to help students visualize difficult concepts. A clear, concise writing style and more examples than any other text further contribute to students' ability to master the material. Click here for the Video Solutions that accompany this book. Developed by Professor Edward Berger, University of Virginia, these are complete, step-by-step solution walkthroughs of representative homework problems from each section of the text. |
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Page 281
... slope of shear diagram at each point = = -w ( x ) -distributed load intensity at each point ( 6-1 ) dM = V dx slope of shear ( 6-2 ) moment diagram = at each at each point point ( a ) W = w ( x ) WB A B C D These two equations provide a ...
... slope of shear diagram at each point = = -w ( x ) -distributed load intensity at each point ( 6-1 ) dM = V dx slope of shear ( 6-2 ) moment diagram = at each at each point point ( a ) W = w ( x ) WB A B C D These two equations provide a ...
Page 283
... slope changes from V1 to V2 . Mo M2 w = 0 V V Wo V Mo V M1 M2 € 0 . Constant positive slope . Counterclockwise Mo causes M to jump downward . No change in shear since slope w = -wo M2 V1 V2 Constant negative slope . V1 V2 W2 -wi W1 M1 ...
... slope changes from V1 to V2 . Mo M2 w = 0 V V Wo V Mo V M1 M2 € 0 . Constant positive slope . Counterclockwise Mo causes M to jump downward . No change in shear since slope w = -wo M2 V1 V2 Constant negative slope . V1 V2 W2 -wi W1 M1 ...
Page 289
... Slope = 0 15 Increasingly negative slope Support Reactions . The reactions have been determined and are shown on the free - body diagram , Fig . 6-17b . Shear Diagram . The end points x = 0 , V = +15 , and x = 45 , V = -30 are plotted ...
... Slope = 0 15 Increasingly negative slope Support Reactions . The reactions have been determined and are shown on the free - body diagram , Fig . 6-17b . Shear Diagram . The end points x = 0 , V = +15 , and x = 45 , V = -30 are plotted ...
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absolute maximum shear allowable bending stress allowable shear stress aluminum angle of twist Applying Eq average normal stress axial load beam's buckling caused centroid column compressive constant cross section cross-sectional area deformation Determine the maximum diameter displacement distributed load Draw the shear elastic curve element EXAMPLE factor of safety free-body diagram ft Prob Hooke's law in² kip/ft kN·m kN/m length linear-elastic loading shown located material maximum bending stress maximum in-plane shear maximum shear stress modulus of elasticity Mohr's circle moment of inertia neutral axis normal strain plane stress plastic principal strains principal stresses radius redundant sectional area segment shaft shear force shear strain shown in Fig slope SOLUTION Solve Prob statically indeterminate steel strain energy stress acting stress distribution stress-strain diagram tensile tensile stress torque torsional yield zero ΕΙ σχ