Question

2-22 A beam is supported and loaded as shown in Figure P2-11d. For the data given in the assigned row(s) in Table P2-2, find the static safety factor (a) If the beam is a ductile material with Sy 300 MPa (b) If the beam is a cast-brittle material with Su- 150 MPa, Sue 570 MPa ea Ri R2 R1 W' .t Ri R2 Table Use only data relevant to the particular problem. Lengths in m, forces in N, in m4 2.85E-08 2.00E-02 steel 80 850 1.70E-08 1.00E-02 steel c 0.30 0.10 0.20 500 450 4.70E-09 1.25E-02 steel 0E-02 steel 96 750 1.80E-08 9.O0E-03steel 0.50 0.18 0.40 450 950 1.17E-08 00E-02 steel g 0.60 2 .50 250 250 3.20E-09 7.50E-03 steel 500 4.00E-09 5.00E-03 um 50 200 2.75E-09 5.00E-03 alum 0.20 0.10 0.15 50 80 6.50E-10 5.50-03 alum 1.456-02alum 90 600 4.20E-08 7.50E-03alum 80 500 2.10E-08 6.50E-03 alum 100E-02 alum 1.000.40 0.60 200 500 b 0.70 0.20 0.40 65 250 9-9 1.1 d 0.80 0.50 0.60 0.85 0.35 0.50 h 0.20 0.100.13 400 0.40 0.15 0.30 70 880 4.30E-08 .4 k 0.40 0.16 0.30 0.90 0.25 0.80 m 0.70 0.10 0.60 0.850.15 0.70 60 120 7.90E09 0 Note that w is a unit force of N/m

Answer 1

9-88 Solution The load fanchan equation i s wheie R and R are the senc ions Appied generalised distonce a hale-width crack. b - half - coidth Crack plate F = Load -Applied Inteqtate Use Boundo v(c)-o- h(0-of-wCo-o)' tu (o-aji-p@-yet R.(0-1%, 6

Use Boundary conditions χ:01M20 oundany Condi tion s

200 지 Qメ! in eyu -a64 〈ob-o)1-@g 懼℃。6-0-4Ỹ. 800 (06-o

Matimum bending stess (z Mmax C chee = momento inertia 儿 poincipal steses Given whee, s

867 Ns static Safety fach3.4 SyIsompa - Sut on mod non-zero ps inci p stiess allue is posi tive ISo Static safety-factor = 1.7