Question

The sample shown below is to be subjected to applied moments, as shown. 1.8 10 1.7 1.6 wih-3 1.5 wh-1.5 1.3 W/h=1.1 1.2 1.1 0 0.1 0.2 0.3 0.0.50.6 0.7 0.8 0.9 Find the maximum magnitude of the moments if hı = 198 mm, rı = 27 mm, h2 = 180 mm,T2 = 15 mm, h3 = 60 mm, t = 25 mm, and the maximum allowable stress is Ơallow 300 MPa Express your answer to three significant figures and include the appropriate units. View Available Hint(s) Mmax = 1 Value Units

Answer 1

Given data: h 198 mm, r 27 mm, h2 180 mm, r2 15 mm, h3 60 mm, t Ơallow-300 MPa, t-25 mm. 25 mm. For fillet 1: n/ h2-27 / 180 = 0.15, w / h = h1 / h2-198 / 180 = 1.1. For, above ratios using the given graph: k 1.35 Maximum bending moment Mi (alo(kTc) Equation-1 I=t®h3 / 12, c = h / 2. After putting above values in Equation-1 we get, M1 (allow t h2)/ (6 kT) (300 25 (198A2)) (6 1.35) 36300000 N-mm For fillet 2: r2/h3 15/60 0.25, w/h h2/h3 180/60 3. For, above ratios using the given graph: k 1.4. Maximum bending moment M2 (alo(kTc) M2 (allow t h22)/ (6 kT) 300 25 (18042)) (6 1.4) 28928571.4 N-mm. Out of both bending moments we will choose the minimum one hence, Maximum bending moment Mmax 28928571.4 N-mm- 28928.5714 N-m.... Answer.