328

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12-1.

6 m 2 m 2 m

120 kN12.8 kN/m

A B

C

IBC 480(106) mm4

IAB 360(106) mm4

329

© 2009 by R.C. Hibbeler. Published by Prentice Hall, Pearson Education South Asia Pte Ltd. All rights reserved. This material is protected under 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.

2 m 2 m

100 kN 100 kN

2 m

A B C

6 m

330

© 2009 by R.C. Hibbeler. Published by Prentice Hall, Pearson Education South Asia Pte Ltd. All rights reserved. This material is protected under 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.

2 m 2 m 4.5 m

24 kN 8 kN/m

A B C

331

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2 m2 m 2 m

8 kN 8 kN 8 kN

2 m

A B C

4 m

332

© 2009 by R.C. Hibbeler. Published by Prentice Hall, Pearson Education South Asia Pte Ltd. All rights reserved. This material is protected under 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.

24 kN/m

2 m 2.5 m 2.5 m 2 m

D A B C E

5 m 4 m

A B C

30 kN/m36 kN/m

333

© 2009 by R.C. Hibbeler. Published by Prentice Hall, Pearson Education South Asia Pte Ltd. All rights reserved. This material is protected under 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.

334

© 2009 by R.C. Hibbeler. Published by Prentice Hall, Pearson Education South Asia Pte Ltd. All rights reserved. This material is protected under 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.

335

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4 m 7. 2m 6 m

25 kN/m

A B C D

7.2 m

336

© 2009 by R.C. Hibbeler. Published by Prentice Hall, Pearson Education South Asia Pte Ltd. All rights reserved. This material is protected under 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.

*12-12.6 m 4 m

A B C

D

45 kN/m

1 m

1 m

1 m9 kN

9 kN

337

© 2009 by R.C. Hibbeler. Published by Prentice Hall, Pearson Education South Asia Pte Ltd. All rights reserved. This material is protected under 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.

12-13.36 kN/m

2 m 6 m

A BC

D E

IABC 320(106) mm4

IBD 240(106) mm4

ICE 400(106) mm4

2 m

2 m

60 kN

338

© 2009 by R.C. Hibbeler. Published by Prentice Hall, Pearson Education South Asia Pte Ltd. All rights reserved. This material is protected under 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.

339

© 2009 by R.C. Hibbeler. Published by Prentice Hall, Pearson Education South Asia Pte Ltd. All rights reserved. This material is protected under 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.

6 m 2.5 m

A B

C

6 kN/m

6 m

340

© 2009 by R.C. Hibbeler. Published by Prentice Hall, Pearson Education South Asia Pte Ltd. All rights reserved. This material is protected under 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.

60 kN

5 m

A

B C

D

6 m

24 kN/m

341

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12-17.

4 m

6 m

37.5 kN/m

IBC = 480(106) mm4

IAB 320(106) mm4

ICD = 240(106) mm4

A

B C

D

9.6 m

342

© 2009 by R.C. Hibbeler. Published by Prentice Hall, Pearson Education South Asia Pte Ltd. All rights reserved. This material is protected under 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.

12-17.

343

© 2009 by R.C. Hibbeler. Published by Prentice Hall, Pearson Education South Asia Pte Ltd. All rights reserved. This material is protected under 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.

4 m

2 m

2 m

36 kN

36 kN

27 kN/m

A

B C

D

6 m

NO SOLUTION PROVIDED.

344

© 2009 by R.C. Hibbeler. Published by Prentice Hall, Pearson Education South Asia Pte Ltd. All rights reserved. This material is protected under 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.

3 m

4 m

20 kN/m

37.5 kN/m

A

B C

D

(cont’d)

345

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12-19.

346

© 2009 by R.C. Hibbeler. Published by Prentice Hall, Pearson Education South Asia Pte Ltd. All rights reserved. This material is protected under 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.

3 m 3 m4 m

A D

4 m

100 kN/m

B C30 kN

347

© 2009 by R.C. Hibbeler. Published by Prentice Hall, Pearson Education South Asia Pte Ltd. All rights reserved. This material is protected under 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.

*12-20.

348

© 2009 by R.C. Hibbeler. Published by Prentice Hall, Pearson Education South Asia Pte Ltd. All rights reserved. This material is protected under 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.

6 m

4 m1 m2.5 m 2.5 m

A

B C

D

20 kN

349

© 2009 by R.C. Hibbeler. Published by Prentice Hall, Pearson Education South Asia Pte Ltd. All rights reserved. This material is protected under 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.

12-21.