Essentials in the theory of framed structures . ctions of all the forces are known. Close themagnitude-direction diagram by drawing the magnitude-directions de and ea. Compare the results with those obtained by the algebraicsolution. If the sense of ab had been upward, show that the resultantof ab and be would have scaled 70 in the magnitude-directiondiagram; and its location would have been at the point ofintersection of the two lines through hf and ig. 36. Problems. I. In Fig. 26 the moments of all the forces are balanced about the threepoints O, P and Q; 2Mo = o 2Mp = o ZiWo = oyet the
Essentials in the theory of framed structures . ctions of all the forces are known. Close themagnitude-direction diagram by drawing the magnitude-directions de and ea. Compare the results with those obtained by the algebraicsolution. If the sense of ab had been upward, show that the resultantof ab and be would have scaled 70 in the magnitude-directiondiagram; and its location would have been at the point ofintersection of the two lines through hf and ig. 36. Problems. I. In Fig. 26 the moments of all the forces are balanced about the threepoints O, P and Q; 2Mo = o 2Mp = o ZiWo = oyet the body is not in equilibrium, for the horizontal magnitudes do not balance,neither do the vertical magnitudes balance. Explain. Sec. VI EQUILIBRIUM OF COPLANAE FORCES 55 2. The homogeneous body of uniform thickness in Fig. 27 weighs 50 lb. andis supported SLt A, B and C. The reaction at ^ is 25 lb. The reactions at Band C are vertical and horizontal respectively, as indicated by the roller the unknown elements for Fig. 28. K-/5->| ?- .50^ ^ ^^ m *100 \ 11 r V ??? ? Fig. 30. 3. The body in Fig. 28 is supported at ^, 5 and C. Find the weight of thebody, the magnitude of the force at A, and locate the vertical gravity line of thebody. S6 THEORY OF FRAMED STRUCTURES Chap. I 4. The cross-section of a retaining wall weighing 6,000 lb. per linear foot is;represented in Fig. 29. The resultant earth pressures per linear foot are 15,000lb. at A and 7,500 lb. at B. What is the direction of the resultant pressure atA, if the resultant reaction of the ground on the base CD is 25,500 lb. per linearfoot; and what is the total friction between the ground and wall on the line CZ>?At what point on the line CD does the resultant reaction act? 5. Neglect the weight of the body in Fig. 30 and determine the reactions. 6. The body in Fig. 31 weighs 2,000 lb. Locate the vertical gravity line;
Size: 1696px × 1473px
Photo credit: © The Reading Room / Alamy / Afripics
License: Licensed
Model Released: No
Keywords: ., bookcentury1900, bookdecade1920, booksubjectstructu, bookyear1922
