Resolução de Problemas de Engenharia

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Proprietary Material. © 2009 The McGraw-Hill Companies, Inc. All rights reserved. No part of this Manual may be displayed, reproduced, or distributed in any form or by any means, without the prior written permission of the publisher, or used beyond the limited distribution to teachers and educators permitted by McGraw-Hill for their individual course preparation. A student using this manual is using it without permission. Problem 7.44 7.44 Solve Prob. 7.22, using Mohr's circle. 7.22 Two wooden members of 80 X 120-mm uniform rectangular cross section are joined by the simple glued scarf splice shown. Knowing that = 22° and that the 120 mm maximum allowable stresses in the joint are, respectively, 400 kPa in tension (perpendicular to the splice) and 600 kPa in shear (parallel to the splice), determine the largest centric load P that can be applied. 80 mm B y P P P P A x = P/A 6y = Txy = Plotted points for Mohr's circle, (P/A, Y: (0,0) C: (P/2A, R = CX = 2A P Y' Coordinates of point Y' 2 = 2A = 2A sin2B 6 Y C Data: A= (80)(120) = = m² If 6 = 400 kPa = P P 2A 2A = 2A5 = = = If = 600 kPa = Pa, = sin 44° = = 16.58 KN The smaller value of P governs. P = 16.58 Proprietary Material. © 2009 The McGraw-Hill Companies, Inc. All rights reserved. No part of this Manual may be displayed, reproduced, or distributed in any form or by any means, without the prior written permission of the publisher, or used beyond the limited distribution to teachers and educators permitted by McGraw-Hill for their individual course preparation. A student using this manual is using it without permission. Problem 7.45 7.45 Solve Prob. 7.23, using Mohr's circle. 7.23 A 19.5-kN force is applied at point D of the cast-iron post shown. Knowing that the post has a diameter of 60 mm, determine the principal stresses and the y maximum shearing stress at point H.