An Investigation of Comparative Deflections of Steel Arch Ribs With Three Two a

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41 . 0776 2. 99 83. 08 12. 98 163. 65 . 0793 3. 05 81. 58 12. 94 150. 28 . 0861 3. 32 76. 58 12. 92 136. 91 . 0945 3. 67 71. 58 12. 90 136. 91 . 0943 3-66 71. 58 DEFLECTION OF CROWN DUE TO THRUST Thrust is equal to Hcosft + VsinQ. For a load unity at crown, H = 2. 48 and V = 0. 5. The deflection is to be computed as it affects all points along the arch rib.
The result is = 0. 002 41 f X 2 = 0. 004834" 2 A E For any other position of loading, an assumption is made that only a portion of the load
... carried up to the crown hinge causes crown deflection due to rib-shortening. This assumption is justified as the deflection due I HH H 1 Deflections of Three-Hinged Arch to rib-shortening is only a small portion of the total and it does not make any appreciable error. The greatest difference occurs when the load is at quarter point. The difference in thrust is (V Vi) sinft.
10 TABLE 10. LOAD AT 5 Section (770rie d ^^- T 2 ds X io* 2 A E 2 AE o-i . 19 408 147 1-2 . 17 402 116 2-3 -15 367 83 3-4 -H 364 7i 4-5 -12 36l 52 469.


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