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P

4. A steel tube is rigidly attached between an aluminum rodand a bronze rod as shown in the fgure. Axial loads are applied atthe positions indicated. Find the maximum load P that will notexceed a stress in aluminum o 60 Pa! in steel o "#0 Pa! or inbronze o "00 Pa.

$%&'()A * #00mm+

A,-'-A * +00

mm+

/)),A *

400mm+

" m + m +.#m

2

P

B. Illustrative problems

3

P

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4

P2

P

-P-P

P

$%&'()A * #00

mm+A,-'-

A * +00mm+

/)),A *

400mm+

" m + m +.#

m

2P

3P

,&A11A2%A3

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FORALUMINU

M:

FOR STEEL:

FOR BRONZE:

THEREFORE:

MAXIMUM SAFE VALUE OF P =

12,500 N

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#. 1etermine the weight o the heaiest cylinder which can beplaced in the position shown in the fgure without exceedingstress o #0 '5m+in the cable $. 'eglect the weight o bar A$.he cross7sectional area o cable $ is "00 mm+.

A4

m

6m

8 m

B6 m

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P

A4

m

6m

B

8 m

Hx

AY

T!"

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P

W

R

FBD OF

CYLINDER:

CONSIER:

THEREFORE:

!,000 N IS THE WEI"HT OF THE HEAVIEST

CYLINER

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6. A "00079g homogeneous bar A$ is suspended rom twocables A and $1: each with cross7sectional area o 400 mm+! asshown in the fgure. 1etermine the magnitude P and location x othe largest additional orce which can be applied to the bar. he

stresses in the cables A and $1 are limited to "00 Pa and #0Pa! respectiely.

+ m

A $

1

Px

".8 mA * 400mm+

A * 400mm+

"000 9g

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A $

x

+ m

" m

P

T#TA

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A $

x

+ m

" m

P

T#TA

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A $

x

+ m

" m

P

T#TA

!"

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