1
240lb Link Ae has a uniform rectangular cross section -k in. thid ~in. wide. Determine the normal stress in the central portion c link. 24011> Fig. Pl.7 Knowing that link DE is t in. thick and 1 in. wide, determiw normal stress in the central portion of that link when (a) 8 (b) 8 = 90°. E .' Each of the four vertical links has an 8 X 36-mm uniform ref gular cross section a.ndeach of the four pins has a 16-mm diam Determine the maXImum value of the average normal stress ir links connecting (a) points Band D, (b) points e and E. 04m1 0.25/~.. . C•. ' /f r lin I /».'/ , 0.2111 B_..... . J 20kNt () 1.9 1.8 1.1 Fig. Pl.9 1.10 Three forces, each of magnitude P = 4 kN, are applied t, mechanism shown. Determine the cross-sectional area of the lorm portion of rod BE for which the normal stress in that pc is + 100 MPa. c 3in. 30 kips B ---. 2 in. 1~30;" 30":'1 --w:" __ I Two solid cylindrical rods AB and Be are welded together at B and loaded as shown. Knowing that the average normal stress must not exceed 175 MPa in rod AB and 150 MPa in rod Be, determine the smallest allowable values of d l and d 2 . Two solid cylindrical rods AB and Be are welded together at B and loaded as shown. Determine the magnitude of the force P for which the tensile stress in rod AB has the same magnitude as the compressive stress in rod Be. Two solid cylindrical rods AB and Be are welded together at Band loaded as shown. Knowing that ell = 50 mm and d 2 = 30 mm, find the average normal stress at the midsection of (a) rod AB, (b) rod Be. p 1.1 Fig. Pl.3 Fig. Pl.5 1.2 1.3 J.6 Two hrass rods A/3 and /3C, eac:h or nnif(JrI11diameter, will be hnlZ(,d ((~gdher :.It./3 10 f(lI'lli '~ ',lonnnirorln rod of toutl length 1.5 Two steel plates are to be held together by means of ]6-mm-cliameter high-strength steel bolts fitting snugly inside cylindrical brass spacers. Knowing that the average normal stress must not exceed 200 MPa in the bolts and ]30 MPa in the spacers, determine the outer diameter of the spacers that yields the most economical and safe design. 1.4 In Prob. 1.3, knowing that P = 40 kips, determine the average normal stress at the midsection of (a) rod AB, (b) rod Be. 10111111 ell 40kN ---el 2 B A --- 15 1111ll /, I 300m111 ~ 250111111 L A {/ L 30kN Fig. Pl.l and Pl.2 100111 I

Mechanics

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Page 1: Mechanics

240lb

Link Ae has a uniform rectangular cross section -k in. thid~in. wide. Determine the normal stress in the central portion clink.

24011>

Fig. Pl.7

Knowing that link DE is t in. thick and 1 in. wide, determiwnormal stress in the central portion of that link when (a) 8(b) 8 = 90°.

E

.'

Each of the four vertical links has an 8 X 36-mm uniform refgular cross section a.nd each of the four pins has a 16-mm diamDetermine the maXImum value of the average normal stress irlinks connecting (a) points Band D, (b) points e and E.

04m10.25/~.. . C•.' /fr lin I /».'/ , 0.2111

B _..... . J20kNt

()

1.9

1.8

1.1

Fig. Pl.9

1.10 Three forces, each of magnitude P = 4 kN, are applied t,mechanism shown. Determine the cross-sectional area of thelorm portion of rod BE for which the normal stress in that pcis +100 MPa.

c3in.

30 kips B---.2 in.

1~30;" 30":'1 --w:" __ I

Two solid cylindrical rods AB and Be are welded together at Band loaded as shown. Knowing that the average normal stress mustnot exceed 175 MPa in rod AB and 150 MPa in rod Be, determinethe smallest allowable values of dl and d2.

Two solid cylindrical rods AB and Be are welded together at Band loaded as shown. Determine the magnitude of the force P forwhich the tensile stress in rod AB has the same magnitude as thecompressive stress in rod Be.

Two solid cylindrical rods AB and Be are welded together at Bandloaded as shown. Knowing that ell = 50 mm and d2 = 30 mm,find the average normal stress at the midsection of (a) rod AB,(b) rod Be.

p

1.1

Fig. Pl.3

Fig. Pl.5

1.2

1.3

J.6 Two hrass rods A/3 and /3C, eac:h or nnif(JrI11diameter, will behnlZ(,d ((~gdher :.It./3 10 f(lI'lli '~ ',lonnnirorln rod of toutl length

1.5 Two steel plates are to be held together by means of ]6-mm-cliameterhigh-strength steel bolts fitting snugly inside cylindrical brassspacers. Knowing that the average normal stress must not exceed200 MPa in the bolts and ]30 MPa in the spacers, determine theouter diameter of the spacers that yields the most economical andsafe design.

1.4 In Prob. 1.3, knowing that P = 40 kips, determine the averagenormal stress at the midsection of (a) rod AB, (b) rod Be.

10111111

ell

40kN

---el2

B

A

--- 15 1111ll

/,I

300m111

~250111111

L

A

{/

L

30kN

Fig. Pl.l and Pl.2

100111

I