Question

1.47 A load P is supported as shown by a steel pin that has been inserted in a short wooden member hanging from the ceiling. The ultimate strength of the wood used is 60 MPa in tension and 7.5 MPa in shear, while the ultimate strength of the steel is 145 MPa in shear. Knowing that b = 40 mm, c = 55 mm, and d = 12 mm, determine the load P if an overall factor of safety of 3.2 is desired. 2 40 mm Fig. P1.47

Answer 1

alloweble Shear area Shead dsse in thear area/A) Suiimade Gallable Sheer 145 M Pa 3-2 45-31 MPa fie Cou de appled on loaod that allowable there is tho Shear ares os xl&AT Povasle Guesle 5124-712N 12 45.31 x - 5 10249.4 -(2) = 10.25 KN Slepe cood,; Foo orotthd) in doim ara of crod attorstste aot(0.04-0e12) 40lb-d) 4o (yo-18) allowable 18-75 M8 8053-2 18. lsaod P. allol - 26880 N allowble ह = 26.8

Lovead; allx.ele 18-75x (122) allorele -1 ) 2. KM asca of woad Guoler Chear aP200 mnt A = 4ox Ss 7-5 2.34375 M87 Thear alloreble Shear loeod, allocoble Pこ allas 2:34375 R 2200 10312 I4 - l6) 10-3) KM rquied allowable Now Coaod tha Con of 10.25 AM
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