estÁtica 12va. edición - hibbeler - capítulo 10 (solucionario)

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  • 1.927 101. Determine the moment of inertia of the area about the axis.x 2010 Pearson Education, Inc., Upper Saddle River, NJ. All rights reserved.This material is protected under all copyright laws as they currently exist. No portion of this material may be reproduced, in any form or by any means, without permission in writing from the publisher. y x 2 m 2 m y 0.25 x3 10 Solutions 44918 1/28/09 4:21 PM Page 927

2. 928 102. Determine the moment of inertia of the area about the axis.y 2010 Pearson Education, Inc., Upper Saddle River, NJ. All rights reserved.This material is protected under all copyright laws as they currently exist. No portion of this material may be reproduced, in any form or by any means, without permission in writing from the publisher. y x 2 m 2 m y 0.25 x3 10 Solutions 44918 1/28/09 4:21 PM Page 928 3. 929 103. Determine the moment of inertia of the area about the axis.x 2010 Pearson Education, Inc., Upper Saddle River, NJ. All rights reserved.This material is protected under all copyright laws as they currently exist. No portion of this material may be reproduced, in any form or by any means, without permission in writing from the publisher. y x y2 x31 m 1 m 10 Solutions 44918 1/28/09 4:21 PM Page 929 4. 930 *104. Determine the moment of inertia of the area about the axis.y 2010 Pearson Education, Inc., Upper Saddle River, NJ. All rights reserved.This material is protected under all copyright laws as they currently exist. No portion of this material may be reproduced, in any form or by any means, without permission in writing from the publisher. y x y2 x31 m 1 m 10 Solutions 44918 1/28/09 4:21 PM Page 930 5. 931 105. Determine the moment of inertia of the area about the axis.x 2010 Pearson Education, Inc., Upper Saddle River, NJ. All rights reserved.This material is protected under all copyright laws as they currently exist. No portion of this material may be reproduced, in any form or by any means, without permission in writing from the publisher. y x y2 2x 2 m 2 m 10 Solutions 44918 1/28/09 4:21 PM Page 931 6. 932 106. Determine the moment of inertia of the area about the axis.y 2010 Pearson Education, Inc., Upper Saddle River, NJ. All rights reserved.This material is protected under all copyright laws as they currently exist. No portion of this material may be reproduced, in any form or by any means, without permission in writing from the publisher. y x y2 2x 2 m 2 m 10 Solutions 44918 1/28/09 4:21 PM Page 932 7. 933 107. Determine the moment of inertia of the area about the axis.x 2010 Pearson Education, Inc., Upper Saddle River, NJ. All rights reserved.This material is protected under all copyright laws as they currently exist. No portion of this material may be reproduced, in any form or by any means, without permission in writing from the publisher. y x O y 2x4 2 m 1 m 10 Solutions 44918 1/28/09 4:21 PM Page 933 8. 934 *108. Determine the moment of inertia of the area about the axis.y 2010 Pearson Education, Inc., Upper Saddle River, NJ. All rights reserved.This material is protected under all copyright laws as they currently exist. No portion of this material may be reproduced, in any form or by any means, without permission in writing from the publisher. y x O y 2x4 2 m 1 m 10 Solutions 44918 1/28/09 4:21 PM Page 934 9. 935 109. Determine the polar moment of inertia of the area about the axis passing through point .Oz 2010 Pearson Education, Inc., Upper Saddle River, NJ. All rights reserved.This material is protected under all copyright laws as they currently exist. No portion of this material may be reproduced, in any form or by any means, without permission in writing from the publisher. y x O y 2x4 2 m 1 m 10 Solutions 44918 1/28/09 4:21 PM Page 935 10. 936 1010. Determine the moment of inertia of the area about the x axis. 2010 Pearson Education, Inc., Upper Saddle River, NJ. All rights reserved.This material is protected under all copyright laws as they currently exist. No portion of this material may be reproduced, in any form or by any means, without permission in writing from the publisher. y x 2 in. 8 in. y x3 1011. Determine the moment of inertia of the area about the y axis. y x 2 in. 8 in. y x3 10 Solutions 44918 1/28/09 4:21 PM Page 936 11. 937 2010 Pearson Education, Inc., Upper Saddle River, NJ. All rights reserved.This material is protected under all copyright laws as they currently exist. No portion of this material may be reproduced, in any form or by any means, without permission in writing from the publisher. 1013. Determine the moment of inertia of the area about the y axis. x y 1 in. 2 in. y 2 2x 3 *1012. Determine the moment of inertia of the area about the x axis. x y 1 in. 2 in. y 2 2x 3 10 Solutions 44918 1/28/09 4:21 PM Page 937 12. 938 1014. Determine the moment of inertia of the area about the x axis. Solve the problem in two ways, using rectangular differential elements: (a) having a thickness of dx, and (b) having a thickness of dy. 2010 Pearson Education, Inc., Upper Saddle River, NJ. All rights reserved.This material is protected under all copyright laws as they currently exist. No portion of this material may be reproduced, in any form or by any means, without permission in writing from the publisher. 1 in. 1 in. 4 in. y 4 4x2 x y 10 Solutions 44918 1/28/09 4:21 PM Page 938 13. 939 1015. Determine the moment of inertia of the area about the y axis. Solve the problem in two ways, using rectangular differential elements: (a) having a thickness of dx, and (b) having a thickness of dy. 2010 Pearson Education, Inc., Upper Saddle River, NJ. All rights reserved.This material is protected under all copyright laws as they currently exist. No portion of this material may be reproduced, in any form or by any means, without permission in writing from the publisher. 1 in. 1 in. 4 in. y 4 4x2 x y 10 Solutions 44918 1/28/09 4:21 PM Page 939 14. 940 *1016. Determine the moment of inertia of the triangular area about the x axis. 2010 Pearson Education, Inc., Upper Saddle River, NJ. All rights reserved.This material is protected under all copyright laws as they currently exist. No portion of this material may be reproduced, in any form or by any means, without permission in writing from the publisher. y (b x)h b y x b h 1017. Determine the moment of inertia of the triangular area about the y axis. y (b x)h b y x b h 10 Solutions 44918 1/28/09 4:21 PM Page 940 15. 941 2010 Pearson Education, Inc., Upper Saddle River, NJ. All rights reserved.This material is protected under all copyright laws as they currently exist. No portion of this material may be reproduced, in any form or by any means, without permission in writing from the publisher. 1019. Determine the moment of inertia of the area about the y axis. x y b h y x2h b2 1018. Determine the moment of inertia of the area about the x axis. x y b h y x2h b2 10 Solutions 44918 1/28/09 4:21 PM Page 941 16. 942 *1020. Determine the moment of inertia of the area about the x axis. 2010 Pearson Education, Inc., Upper Saddle River, NJ. All rights reserved.This material is protected under all copyright laws as they currently exist. No portion of this material may be reproduced, in any form or by any means, without permission in writing from the publisher. y x y3 x 2 in. 8 in. 10 Solutions 44918 1/28/09 4:21 PM Page 942 17. 943 1021. Determine the moment of inertia of the area about the y axis. 2010 Pearson Education, Inc., Upper Saddle River, NJ. All rights reserved.This material is protected under all copyright laws as they currently exist. No portion of this material may be reproduced, in any form or by any means, without permission in writing from the publisher. y x y3 x 2 in. 8 in. 10 Solutions 44918 1/28/09 4:21 PM Page 943 18. 944 1022. Determine the moment of inertia of the area about the x axis. 2010 Pearson Education, Inc., Upper Saddle River, NJ. All rights reserved.This material is protected under all copyright laws as they currently exist. No portion of this material may be reproduced, in any form or by any means, without permission in writing from the publisher. y x y 2 cos ( x) 8 2 in. 4 in.4 in. 1023. Determine the moment of inertia of the area about the y axis. y x y 2 cos ( x) 8 2 in. 4 in.4 in. 10 Solutions 44918 1/28/09 4:21 PM Page 944 19. 945 2010 Pearson Education, Inc., Upper Saddle River, NJ. All rights reserved.This material is protected under all copyright laws as they currently exist. No portion of this material may be reproduced, in any form or by any means, without permission in writing from the publisher. *1024. Determine the moment of inertia of the area about the axis.x y x x2 y2 r2 r0 0 10 Solutions 44918 1/28/09 4:21 PM Page 945 20. 946 2010 Pearson Education, Inc., Upper Saddle River, NJ. All rights reserved.This material is protected under all copyright laws as they currently exist. No portion of this material may be reproduced, in any form or by any means, without permission in writing from the publisher. 1025. Determine the moment of inertia of the area about the axis.y y x x2 y2 r2 r0 0 10 Solutions 44918 1/28/09 4:21 PM Page 946 21. 947 2010 Pearson Education, Inc., Upper Saddle River, NJ. All rights reserved.This material is protected under all copyright laws as they currently exist. No portion of this material may be reproduced, in any form or by any means, without permission in writing from the publisher. 1026. Determine the polar moment of inertia of the area about the axis passing through point O.z y x x2 y2 r2 r0 0 1027. Determine the distance to the centroid of the beams cross-sectional area; then find the moment of inertia about the axis.x y 2 in. 4 in. 1 in.1 in. C x x y y 6 in. 10 Solutions 44918 1/28/09 4:21 PM Page 947 22. 948 *1028. Determine the moment of inertia of the beams cross-sectional area about the x axis. 2010 Pearson Education, Inc., Upper Saddle River, NJ. All