This historic book may have numerous typos and missing text. Purchasers can usually download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1909 edition. Excerpt: ...than b if we put the equation of the slope for the part of the curve to the left of W equal to zero and solve for x we will get the abscissa of the section of maximum deflection; and substituting this value of x in the equation for the deflection will give us the maximum deflection, as follows: We know ...
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This historic book may have numerous typos and missing text. Purchasers can usually download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1909 edition. Excerpt: ...than b if we put the equation of the slope for the part of the curve to the left of W equal to zero and solve for x we will get the abscissa of the section of maximum deflection; and substituting this value of x in the equation for the deflection will give us the maximum deflection, as follows: We know the bending moment at the end supported by the prop is zero, so putting M = 0 and substituting x = a, 5 a Examples: 1. A steel beam, 10 ft. long, supports a concentrated load of 25 tons at its middle. What is the deflection under the load if / in inch-units is 84.9 and E = 30,000,000? Find equation of elastic curve. Ans..077--ins. 2. A steel beam of / section, 20 ft. long, 8 ins. deep, 3 ins. wide, with flanges and web each in. thick, is used to support a floor weighing 200 lbs. per sq. ft. The beams are supported at the ends and spaced 3 ft. apart. What is the maximum deflection? E = 30,000,000. Find equation of elastic curve. Ans. 1.3--ins. 3. A beam, supported at the ends, carries a uniform load of 150 lbs. per ft.-run. It is 10 ft. long, 6 ins. deep, and 4 ins. wide. E = 1,200,000. Find equation of elastic curve and the maximum deflection. Ans..39--ins. 4. A beam, 12 ft. long, 8 in. deep, and 12 in. wide, is supported at the ends and carries a load of 1200 lbs., 3 ft. from the left end. E = 1,200,000. Find the elastic curve and the maximum deflection. Ans..102 + ins. 5. A steel beam, 60 ft. long and weighing 100 lbs. per ft., carries a concentrated load of 14,400 lbs. at the middle. If / in inch-units is 1160, find the maximum deflection. E = 30,000,000. Ans. 4.055--ins. 6. Beams, 20 ft. long, support a floor weighing 100 lbs. per sq. ft. The beams are spaced 4 ft. apart. Supposing the section of the beam to be square, find the side of...
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