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. 1919 edition. Excerpt: ...leads to one equation containing the unknowns. If we take the sum of the moments of all the forces about as many arbitrary points as there are unknowns then we will have as many equations as unknowns. The solution of these equations gives the magnitudes of the unknown forces. It is often advantageous ...
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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. 1919 edition. Excerpt: ...leads to one equation containing the unknowns. If we take the sum of the moments of all the forces about as many arbitrary points as there are unknowns then we will have as many equations as unknowns. The solution of these equations gives the magnitudes of the unknown forces. It is often advantageous to choose for the points about which moments are taken, points on the lines of action of the unknown forces, one on each line. Taking moments about B we find Determine the stresses Find the stresses in the members AB and AC, of the triangular frame ABC, Fig. 91, the load at A being 1000 lbs. hint. Use the triangle of forces. Ans. AB, 739.1 lbs.; AC, 922.2 3. S lve Ex. 2 (a) by using the method of resoluti n of forces; (6) by the method of moments. 4. Assuming that the frame in Ex. 2 is supported by a vertical force at B, find the magnitude of the force and the stress in BC. 5. A crane is loaded with 3000 lbs. at C. in the boom CD, the tie BC, the mast BD and the stay AB, Fig. 92. hint. Use the triangle of forces. Ans. CD, 6250 lbs. (compression); BC, 4250 lbs. (tension); AB, 5858 lbs. (tension); BD, 2500 lbs. (compression). 6. Solve Ex. 5, using the method of resolution of forces. 7. Find the horizontal and vertical components of the supporting forces at A and D, Ex. 5. 8. Find the stresses in the members of the crane in Ex. 5, when the boom makes an angle of 15 with the horizontal. 9. What is the smallest force F which will prevent a weight of 150 lbs. from slipping down the incline represented in Fig. 93 if friction is neglected? Ans. 212.2 lbs. 10. Let F = 150 lbs. (Fig. 93) and let the weight also be 150 lbs. What will be the largest angle between the inclined plane and the horizontal at which the weight will not slip? Ans. 30. 11....
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Add this copy of Mathematics for Collegiate Students of Agriculture and to cart. $61.07, good condition, Sold by Bonita rated 4.0 out of 5 stars, ships from Santa Clarita, CA, UNITED STATES, published 2019 by Wentworth Press.
