Principles of mechanics, and their application to prime movers, naval architecture, iron bridges, water supply, etc. Thermodynamics, with special reference to the steam engine

 
9781130934984: Principles of mechanics, and their application to prime movers, naval architecture, iron bridges, water supply, etc. Thermodynamics, with special reference to the steam engine
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This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1874 Excerpt: ...ton at 2, and a load of 1 ton at 3. Let Ft be the supporting force, equal and opposite to the downward force at point of support; St = stress on the bar 1, 2, or 3, 4; H, = horizontal thrust upon the bar 1, 4. Since the angle Fig. 27. We have now to calculate the stresses on the bars of the second frame 5, 2, 3, 6 (Fig. 26); and since we have And by multiplying these values by the same ratios as in case 1, p. 63, we have for the inclined stresses, 2-90 tons = stress along 1, 2, or 3, 4. 1-74 ton = „ 2,5, or 3, 6. 0-58 ton = „ 7,5, or 7,6. The horizontal stresses are found by finding the bending moments at the points 2, 5, 7, 6, and 3 (as explained at p. 54), and dividing the moments so found by the depth of the girder, thus:--Tons. Supporting force at 1 = 2-5 2 = 1-5 5 = 0-5 7 = 0-0 Bending Moments. Round 2 = 2-5 x-5 =1-25 „ 5 = (1-25 + 1-5 x-5).. =2-00 „ 7 = (1-25+-75+-5 x-5) =2-25 And the horizontal stresses are, 1-25 At 2 or 3, or their opposites =---= 1 45. ob At 5 or 6, or their opposites =---= 2 32. oO 2-25 At 7, or its opposite =--5-= 2-61.-ob On comparison of the two methods it will be seen that the results are similar. FORMS OF GIRDERS. Plate Girders. Fig. 28 shows in section a wrought-iron plate girder; Fig. 29 shows part of same girder in elevation. A and B are the flanges of wrought-iron plates, suitably joined at their extremities by covering plates; C is the web, generally of thin plate. Angle-irons D are riveted to the web, the flanges being also riveted to the angle-irons. Stiffen ing pieces of tee-iron E are riveted to the web and flanges to give additional stiffness to the structure. The pitch, or distance between the centres of the rivetholes, is from 3 inches to 4 inches. When the span is considerable, it is more ...

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