TAILIEUCHUNG - mechanics of materials hibbeler 4th 5/2007

Technology has affected society and its surroundings in a number of ways. In many societies, technology has helped develop more advanced economies (including today's global economy) and has allowed the rise of a leisure class. Many technological processes produce unwanted by-products, known as pollution, and deplete natural resources, to the detriment of the Earth and its environment. Various implementations of technology influence the values of a society and new technology often raises new ethical questions. Examples include the rise of the notion of efficiency in terms of human productivity, a term originally applied only to machines, and the challenge of. | 12-1 An L2 steel strap having a thickness of in. and a width of 2 in. is bent into a circular arc of radius 600 in. Determine the maximum bending stress in lhe strap. 1 _ M El M p El p However ơ A E p f ẹ g p ơ 29 103 Ans 600 12-2 The L2 steel blade of the band saw wraps around the pulley having a radius of 12 in. Determine the maximum normal stress in the blade. The blade is made of Steel having a width of in and a thickness of in. IM Ẫ M p El p However a Mc Z pk I Ỉ p ơ 22Ẽ 29 103 Ans 12-3. Determine the equation of the elastic curve for the beam using the X coordinate that is valid for 0 X L 2. Specify the slope at A and the beam s maximum deflection. EỈ is constant. Support Reactioni and Elat tic Curve As shown on FBD a . Moment Function As shown on FBD b . Slope and Elat tic Curve dx1 Sv p ĩ c 111 dx 4 Hu r C Cj 2 dv L Boundary Condition Doc io symmetry 0 SI X - -. dx 2 Also V 0 at X 0. PfLA1 _ _ PL1 From Eq. 1 O ị ĩ Cl C 16 The Slope Substitute the value of c into Eq. 1 dv _ p dx ĨẼẼ fal .o 16EZ The negative sign indicates clockwise rotation. The Elaitic Curve Substitute the values of Cj and Cj into Eq. 2 ẳ 2 3 Ans L v_ occurs at X 2 PL Umu - Ans 48E From Eq. 2 o o o c G o The negative sign indicates downward .

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