HW25

# HW25 - 6.1 Three full—size 50 X IOO-mm boards are nailed...

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Unformatted text preview: 6.1 Three full—size 50 X IOO-mm boards are nailed together to form a beam that is PROBLEM 5-1 subjected to a vertical shear of 1500 N. Knowing that the allowable shearing force in each nail is 400 N, determine the largest longitudinal spacing 3 that can be used between each pair of nails. SOLUTION I _- g in»? = #(Imcmv = 23.125'xto‘ m“ .- 28.125XI0“ Irv-2'l A = (looﬂgo) = 5000 m: 3‘ = 5'0 mm Q: A3. : 250%“?3 Mm; -- 250 Ito"; m3 V Q (1500 )(15‘0 no“) 3 T 22.n15no" 3333*“) NA" 2 FM, 8 = ZFn-u'l : ‘- XIOJS M 3. 13.333Ito‘ 3 60 mm E 2 6.1 Three full-size 50 x IOU-mm boards are nailed together to form a beam that is PROBL M 6' subjected to a vertical shear of 1500 N. Knowing that the allowable shearing force in each nail is 400 N, determine the largest longitudinal spacing s that can be used between each pair of nails. 6.2 For the built-up beam of Prob. 6.1, determine the allowable shear if the spacing betweeneachpairofnails is: = 45 mm. SOLUTION I = {a bin" = 1'; (1003050? r 22.nsxto‘ m" = 2%. 125x10“ rn" \ A = (looXSo) = sooo m J": 50 MM G.= A3, -' 2501103 in»? = 2.50on“ m3 % : 1f: 13.5 = 2F :1 . . . VQ _ 2PM Elainanan 3. T " S .l. : ZIP“; _, (2)(22.12§xro“)('400) SDI)" “‘3 42"- V V Qs — (250x:0“)(qs'xlo") :1 x103 N = 2 1m 4 PROBLEM 6.9 15 kips 20 kips 1-5 kips 6.9 through 6.12 determine (a) the point a. For the beam and loading showrl, consider section n-n and largest shearing stress in that section, (b) the shearing stress at SOLUTION Bj SijeA'rj Q5 1 9, From 5L ear Au‘ajvém Dd’efwu'ne mom-err} 6P {ner‘f‘fa‘ (ask I . 83) 2 (226m: No.33) Q: 2A3 = 22.83 iu’ t: 0.375 In V0 ’5': —--—-— 2‘: (23M 29. as) (23:. 74 Has-is) 7" 6.70 k5; j-:.n-ux-_-...-ne\.x..m...;jm' 3:“: .I. «3: 1a, - ~J- '1'}. - '.-'~_. ...
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