solucionario captulo 4 - hibbeler - estatica

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*4104. Replace the force system acting on the truss by a 200 lb 150 lb2 ft 2 ft 2 ft 2 ftA B546 ft 500 lbC3100 lb268 resultant force and couple moment at point C. 2010 Pearson Education, Inc., Upper Saddle River, NJ. All rights reserved. This material is protected under all copyright laws as they currentlyexist. No portion of this material may be reproduced, in any form or by any means, without permission in writing from the publisher.4 Solutions 44918 1/23/09 12:03 PM Page 268

4113. Replace the two forces acting on the post by a zresultant force and couple moment at point O. Express theresults in Cartesian vector form. AC FB 5 kNFD 7 kN6 m 8 m2 mD O3 mBx y277 6 m 2010 Pearson Education, Inc., Upper Saddle River, NJ. All rights reserved. This material is protected under all copyright laws as they currentlyexist. No portion of this material may be reproduced, in any form or by any means, without permission in writing from the publisher.4 Solutions 44918 1/23/09 12:04 PM Page 277

4115. Handle forces F1 and F2 are applied to the electric F2 {2j 4k} Ndrill. Replace this force system by an equivalent resultantforce and couple moment acting at point O. Express the zresults in Cartesian vector form. 0.15 m F {6i 3j 10k} N0.25 m0.3 mOx y4114. The three forces act on the pipe assembly. If zF1 = 50 N and F2 = 80 N, replace this force system by an equivalent resultant force and couple moment acting at O.Express the results in Cartesian vector form. 180 N1.25 m O yF2x 0.5 mF10.75 m1278 2010 Pearson Education, Inc., Upper Saddle River, NJ. All rights reserved. This material is protected under all copyright laws as they currentlyexist. No portion of this material may be reproduced, in any form or by any means, without permission in writing from the publisher.4 Solutions 44918 1/23/09 12:04 PM Page 278

*4116. Replace the force system acting on the pipe zassembly by a resultant force and couple moment at point O. F2 { 10i 25j 20k} lbF1 { 20i 10j 25k}lb2 ftO1.5 ft2 ft 2 ftxx279 Express the results in Cartesian vector form. 2010 Pearson Education, Inc., Upper Saddle River, NJ. All rights reserved. This material is protected under all copyright laws as they currentlyexist. No portion of this material may be reproduced, in any form or by any means, without permission in writing from the publisher.4 Solutions 44918 1/23/09 12:04 PM Page 279

4131. The tube supports the four parallel forces. zDetermine the magnitudes of forces FC and FD acting at C FDand D so that the equivalent resultant force of the forcesystem acts through the midpoint O of the tube. 600 NDFC500 N400 mm 200 mmBz 200 mm y4130. The building slab is subjected to four parallel zcolumn loadings. Determine the equivalent resultant force and specify its location (x, y) on the slab. Take F1 = 20 kN, F2 = 50 kN.F24 m y8 m 6 m2 m20 kN 50 kN F1x 3 mA400 mm O Cx290 2010 Pearson Education, Inc., Upper Saddle River, NJ. All rights reserved. This material is protected under all copyright laws as they currentlyexist. No portion of this material may be reproduced, in any form or by any means, without permission in writing from the publisher.4 Solutions 44918 1/23/09 12:04 PM Page 290

4134. If FA = 40 kN and FB = 35 kN, determine the zmagnitude of the resultant force and specify the location ofits point of application (x, y) on the slab.0.75 m 90 kN20 kN0.75 m0.75 m FA y x 3 m3 m0.75 m4133. The three parallel bolting forces act on the circular zplate. If the force at A has a magnitude of FA = 200 lb, determine the magnitudes of FB and FC so that the resultant force FR of the system has a line of action that coincides withthe y axis. Hint: This requires Mx = 0 and Mz = 0. C F1.5 ft45 30 B F FACx A yB30 kNFB 2.5 m2.5 m292 2010 Pearson Education, Inc., Upper Saddle River, NJ. All rights reserved. This material is protected under all copyright laws as they currentlyexist. No portion of this material may be reproduced, in any form or by any means, without permission in writing from the publisher.4 Solutions 44918 1/23/09 12:04 PM Page 292

4145. Replace the distributed loading with an w0 w0equivalent resultant force, and specify its location on thebeam measured from point A.A BL L*4144. Replace the distributed loading by an equivalent 800 N/mresultant force and specify its location, measured from point A.200 N/mA B2 m 3 m22301 2010 Pearson Education, Inc., Upper Saddle River, NJ. All rights reserved. This material is protected under all copyright laws as they currentlyexist. No portion of this material may be reproduced, in any form or by any means, without permission in writing from the publisher.4 Solutions 44918 1/23/09 12:04 PM Page 301

4153. Wet concrete exerts a pressure distribution along pthe wall of the form. Determine the resultant force of thisdistribution and specify the height h where the bracing strut should be placed so that it lies through the line of action of the resultant force. The wall has a width of 5 m.1/2h8 kPaz*4152. Wind has blown sand over a platform such that wthe intensity of the load can be approximated by the 500 N/m2and location measured from A.x10 mAw (0.5x3) N/m4 mz ) kPap (4306 to an equivalent resultant force and specify its magnitudefunction w = 10.5x3 N>m. Simplify this distributed loading 2010 Pearson Education, Inc., Upper Saddle River, NJ. All rights reserved. This material is protected under all copyright laws as they currentlyexist. No portion of this material may be reproduced, in any form or by any means, without permission in writing from the publisher.4 Solutions 44918 1/23/09 12:04 PM Page 306

*4156. Replace the loading by an equivalent resultant 50 lb/ftforce and couple moment acting at point B. 50 lb/ftB4 ft6 ft100 lb/ft60 A309 2010 Pearson Education, Inc., Upper Saddle River, NJ. All rights reserved. This material is protected under all copyright laws as they currentlyexist. No portion of this material may be reproduced, in any form or by any means, without permission in writing from the publisher.4 Solutions 44918 1/23/09 12:04 PM Page 309