hw1-4_sol

hw1-4_sol - 1,3 Two solid cylindrical rods AB and BC are...

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Unformatted text preview: 1,3 Two solid cylindrical rods AB and BC are welded together at 8 and loaded as shown Knowing that the average normal stress must not exceed 175, MW in rod A8 and 150 MPa in rod BC, determine the sméllcst allowab!c values of (Zl and (I? 1,7 Ench of the four vertical [inks has an 8 X 36—mm uniform :3stle guim‘ crass section and each of the four pins has a 16-min (Hammer. Determine the maximum value of the average normal straw in the links connecting (a) points 8 and [3, (lb) points C and E. , 0.30%ij Wfiyw P D P" Q 9*” M -» L, ‘ — v' x l 5%”; “MW”! “‘75:; Zggxmww" :2 m pyw ,. ~ 1””: / at"? .4 2) 31%?!) M ‘3; p w 2: WWMWW 1 \"WM awaym m” ’ éflgfiw \ 1,9 normak stress in the ccmr Knowing mat the :1! portion of {hut link when ((1‘) link DE is in. thick and 1 in. wide, determine the a = 0, (1;) g 2 90%. g? «r ,» X 1/165!” ’ “flag? a“? $9 I PEG 1; v“ f), a ' M? (3%“? 0/ ’P c“ «5" [36 (£29? éwiwwgw W ‘““““‘”"’”’“’ “ mewg3im .2 kHz-t [€93 g, gas Cm" ‘ 333,; £536“) v, 40 £1; fig 3 .4340 [[25 a {)gy‘g’hgj £1252; a) C5) Wé’wim (94:69 (16 in‘ \ / 4.; \ 1.113 When the force F reached 1000 10, the wooden s eelmen shown >1 I ‘ v , , p 01W lulled m shear along the surface unheated by the dashed line. Determine the average shearing stress along [hat surface at the time of failure. a M” “f L Wm???" M! M f. _ ._ fit: "Xi/“f”, / - ( mmmwmwwm-iWWWWM 5P «may t ‘13 flu!” J “1.20 The load P applied to a steel rod is distributed to a timber support W by an annular washer. The diameter of the rod is 22 mm and the inner theme 101' of the washer is 25 mm, which is slightly larger than the diameter of the hate, Determine the smallest attowabte outer diameter (Z of the washer: know— tng that the axial normal stress in the steel red is 35 MPa and that the average hearing stress between the Washer and the timber must not exceed 5 MP3. My»... ewe) )3 a 7/ (“3‘5 (k N) We“ fiffifiré’fifvdfm ’2’) 51/03 ( {at} Va 7/ 3/46 ELK/05%") up) aim“ : 6’5}; Cmm\ cg 34w, ’1 125 A g-inq—diameter steel rod AB is fitted to a round hole near end C' of the wooden member CD, For the loading shown, determine (a) the maxi~ mum average normal stress in the wood, (b) the distance b for which the av‘ erage shearing stress is 100 psi on the surfaces indicated by the dashed lines, (o) the average bearing stress on the wood» w ini’ 1,40 The horizontal-link BC is in. thick. has a width w = in, and is made of a steei Wiih :1 65-ksi ulIimare strength in tension, What is tha Miami of safety it' {he structh shown is designed to wppm‘t a ioud of l3 ~ 10 kips‘? 6 9 M Fsé w” Wwww A, ,._ / m, «3:; awgv: N g“ *1 5,.15gééwtjpj [1/ «— 5 Ago ; WwWMF i . 4: Hum «3’23 i pf" L4“ 2' 7,42 Link AB is to be made of a steel for which the ultimate normal W”M ) sues; is 450 MPa. Determine the cross—sectional area for/U} for which (he fac- {02‘ of: safety wil! be 3.50. Assume that the fink will be adequateflv reinforced around the pins at A and B. i120 k.\" l v E i « f if ———-> 9—7.» 4...._._._» WIN] ‘ (Mm ‘ (Hm a WAN gag/Viz?” 1: O "3.2:? r 7,2xo’ZLkN'MN‘ZWO’WM was g’mgsbx Mm?) r» 0%? K ‘1 20%) gr gig figagyggnl) wt? ~20>§W§i9fg (LT) MM w” “My” ’ 2; mm , Mfiéii’iiii P ya) a flux/en L; l 2.7“? TWO gage marks are placed exacfly 250 mm a diameter aluminum rod. Knowing that, with an, axial I the rod, the distance between the gage marks is 25 modulus of elasticity of the aluminum used in the rod. I part. on a,~12—mm— oad of 6000 N acting oh ! 018 mm, determine the 8: game/2m mug—mm 2? 8: £3» = 0‘“? Only/Ow H“... .42. 2/9 73 ’19 ’ gamed/V) ,4 g,— Tf‘Y, l ,0'6 [M ' 50’th L: 2§wam, .. {111mm [13:590004)! f:/2£mM_) :5/ 9 a W ‘5: QM”) e ~ ij ' Dame/0'3 2.4 A 584? Engflfi,ohOiZ5—igfidiametef steel wire hike, be used in a I > . l hanger; It is noted that the wire stretches 0.45 in; when a tensile force P is ap- [ plied. Knowing that 29 X 10‘? psi, determine._,(’a~) them force 1’, (b) the ‘cdzrespehdlir'aghémal mess-in the wire, BAA X20 é CPR?) a wwogifib‘): % r 1;,“ 2 A51 c; p : Mafia/’2? g 8: agnitude of the ; I I M /, EEK/0’3 gmllra‘n) , ~ .. ' W‘rixxo’lfl‘nl) dtoaflmj LEA: W’chd/lslarwfl r ‘4’ HQ 2.6 control rod made of yellow brass must not stretch more than 3 mm when the tension in thelwire is 4 kN Knowing that E = lOS GPa and that the maximum allowable normal stress is l80 MPa, determine (a) the smallest ‘ diameter that' can be selected for the rod, (13) the corresponding maximum length of tho rod: 7 a Elm/m PWRN, gmxt§imm3 / gi/OS‘CCAPal mmK ' Déic‘jm who 4296/03 6N) 79 < wwa fivzl I .M 0" z;- Wmmx :53) 777‘" i Defiifim (Aw-e gmsxlfwmmwcwmfl ’ L V C? r v\ ' *3 3 "9 Lg 3X10v<l©§><lo (M Li S< Smx a" 3x10 Cm . I W] E MO was [iv/flash} 'I 2.9 A block of ZSO-mm length and 50 X 40mm cross Election ié to sup- POH a centric compressive load P. The material to be used is a bronze for which E = 95 GPa. Determine the largest load which can be applied, knowing that YhSInox-mal stress must not exceed 80 MPa and that the decraasc in length ‘of the'blcék should'bs at mast 012% of its original length; ‘ 5‘ ' Jar, * 4, 1' “ ED 5 , /.._ LzDg‘o CWM)/ A, 5797‘ OCMM 3} my,“ : CM/Ox)/a 'Y‘kaj y ' 30W)» a D93 C364 LLJ'Y'L’ Ummax me f 6/” ~ '3’ .2, (TS 0” 2&7 .fiflgmmm fig Pg m/o {1%)WX/0 m] STE, if: 'h a...” “4 [5 Q . (Degva w *r L 6W” ‘ I I 2% :> w “>QvLé3mcxxr‘DfiM/jgoom/ LN 5mm I“ E A251. ...
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This note was uploaded on 05/20/2010 for the course CE 3400 taught by Professor Moorthy during the Spring '09 term at LSU.

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hw1-4_sol - 1,3 Two solid cylindrical rods AB and BC are...

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