# Consider a cantilever beam of length L with rectangular cross sectio.docx

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Consider a cantilever beam of length L with rectangular cross section of width b and thickness h. The beam has Young s modulus E and density . The transverse (vertical) deflection is described by w (x), where up is positive and x= 0 at the clamp and x=L at the free end. There is also a tip mass M located at x = L. Ignore gravity. EML 4301C - Mechanical Systems Laboratory PreLab 4 - Beam Resonance, Mode Shapes Assigned: 26 SEP 2019 Due: 01 OCT 2019 (11:59 PM) Consider a cantilever beam of length L with rectangular cross section of width b and thickness h. The beam has Young's modulus E and density p. The transverse (vertical) deflection is described by t ), where up is positive and r=0 at the clamp and = L at the free end. There is also a tip mass M located at r= L. Ignore gravity. x-L CROSS section E, P.L 1 (6 points) We wrote down four boundary conditions in class (Lecture 4, Slide 22). Substi tute u = M/(PAL) and write these boundary conditions as a system of equations in terms of C. , Cs, and es. For simplicity in grading and looking
• Fall '19
• Characteristic polynomial, Complex number, Mode shape

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