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211_5inertiaProblems_solved

# 211_5inertiaProblems_solved - _‘ l-’j A/Zé)29)35,3\$...

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Unformatted text preview: __._‘____ - l ' -’j A/Zé )29)35,3\$ A/26 Determine the moment of inertia of the shaded - area about the x—axis and ﬁnd the polar moment of inertia about point 0. Ans. I, = 13.33 in.‘, IO = 32 in.“ A/29 Determine the moments of inertia of the Z-section about its centroidal x0- and yo-axes. Ix : Im + 21x2 L—IOOnini—J—f Ill : IY' + 1:1YL Problem A/29 - 20 3 O 3' 7. — . - (“90 1g". 4, Z[Z%C§—) +- [80‘X20>(S—O) 1?: 9.81.5 x [O mM‘f A/30 Determine the moment of inenia of the shaded area about the x—axis in two different ways Arts 1— — 5—33 a4 1X 1 IXD'ZI‘AD ,C’4OLK/4oej‘ ZLL/“ﬁ— 5w___>___~_(20)3:{1 ; éer— 24—62? 7119.330ﬂ Problem A/30 Ix: Ix: +21,“ : (%3+Z[(LX93 + (4&le 5‘92] :— til/5 3 A/ 33 Calculate the polar moment of inertia of the shaded area about point 0 Problem AI33 9.40 A channel and a plate are welded together as shown to form a section which is symmetrical with respect to the y axis. ’ Detennine the moments of inertia of the section with respect to its centroidal x and y axes. yew i . ' 0.5 in. J’— . ‘ P370 CWWUA A: 3 a? W?— ' ‘ TwL———712in‘—‘—"I - DCFThg 8“ Fig. P9. 40 V 1M 4290" /:"‘“-\ =32 (.2 w4 5‘ 3:? \ﬂmtﬂwm JPN 44.41.91wa 3LEZ. m4 ‘ ‘37il'éFwwt-bi57): ~ 3 Am + Aria: <W> my ‘1 AﬁAL (m ‘5) + (a 33s) Y\ O+0A1M M 45¢th Ix = 1x0 +_; IX© ér‘boik Yaquirezg/fmxi's ~ng V 3 l . . .29 z. '4 E¥~ + (izxsﬂsvmuﬂ + [[31 wt +~£5b§5w>é31l325m1 : [with 2,,,.%;j+ [1.32 + 5.200] IV : I“) + ‘Iﬁ huh—Wat! rear/rive. // was Hum i z (Egg) T Teams] =1 304.03: 1:1 ’ (Q 5 ll x 3\, 8 T Area. = 935‘ cm1" C (2» I2: = 2 I?" w :W _L. 9.43 The strength of the rolled S section shown is increased by welding a’ channel to its upper ﬂange. Determine the moments of inertia of the combined section with respect to its centroidal x and y axes. 1'2” 5‘ 67.}(9‘W3 \7: A|\II‘+AZKIZ_ 93S<G>+3 38(121‘57'): 7-7451; Afr-A1933 +3334 Ix : IND + lxéﬁ = [Z155 4— \$350,745 492] + [1.32 + 332(125n—734sﬂ ...
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