(a) The H-beam is made of an elastic-plastic material for which σy = 400 MPa. Find the plastic moment Mp and the maximum elastic moment Me and determine the shape factor for the cross section of the H-beam. Also, determine the residual stresses in the top and bottom of the beam after the plastic moment MP is applied and then released. (b) The continuous beam shown in Figure is made of the same cross section as in part a and has both bases clamped. Sketch possible modes of collapse showing clearly the locations of plastic hinges, calculate the corresponding magnitudes of collapse loads and determine the load P, which will cause the plastic collapse to occur. L = 8.0 m. Please provide the full equations and the right answers and I also provide the right final answers to you. Question 4 a The H-beam is made of an elastic-plastic material for which oy 400 MPa. Find the plastic moment M, and the maximum elastic moment Ms and determine the shape factor for the cross section of the H-beam. Also, determine the residual stresses in the top and bottom of the beam after the plastic moment Mp is applied and then released. 200 mm 20 mm 20 mm 200 mm 20 mm b. The continuous beam shown in Figure is made of the same cross section as in part a and has both bases clamped. Sketch possible modes of collapse showing clearly the locations of plastic hinges, calculate the corresponding magnitudes of collapse loads and determine the load P, which will cause the plastic collapse to occur L=8.0 m. 2P 3P (20 Marks) Question 4-Answer 了 L02)002))268 Ci T, ,(2)(0.09)(0.02)-00036a, €3 :0r (0.01)(0.24) # 0.024a, 12 12 C. 3m.rks) 0.0036Oy (0.11) + D.0024Ơr (0.01) »-ooooo, 0.00042Oy Myc ơr(26.8)(10-6) 0.1 0.000420 1.51 M 0.000268a = 0.00042(250)( 10°)s 105 kN-m d'-4c = 105( 10°)(0.1)= 392 MPa 50-0 ; T7 σα -392-250=142 MPa I 26.8(10) 0.1 y=0.0638-63.8 mm Ans nark b: Collapse Modes Mode 3P 4Mダ 1.33 스스 2 P MMode 2 Mode. 3 5-P..금 6 [email protected] lo de . is plastic. 2ollapse mpde P= 1.2 x 4 Question 4 a The H-beam is made of an elastic-plastic material for which oy 400 MPa. Find the plastic moment M, and the maximum elastic moment Ms and determine the shape factor for the cross section of the H-beam. Also, determine the residual stresses in the top and bottom of the beam after the plastic moment Mp is applied and then released. 200 mm 20 mm 20 mm 200 mm 20 mm b. The continuous beam shown in Figure is made of the same cross section as in part a and has both bases clamped. Sketch possible modes of collapse showing clearly the locations of plastic hinges, calculate the corresponding magnitudes of collapse loads and determine the load P, which will cause the plastic collapse to occur L=8.0 m. 2P 3P (20 Marks) Question 4-Answer 了 L02)002))268 Ci T, ,(2)(0.09)(0.02)-00036a, €3 :0r (0.01)(0.24) # 0.024a, 12 12 C. 3m.rks) 0.0036Oy (0.11) + D.0024Ơr (0.01) »-ooooo, 0.00042Oy Myc ơr(26.8)(10-6) 0.1 0.000420 1.51 M 0.000268a = 0.00042(250)( 10°)s 105 kN-m d'-4c = 105( 10°)(0.1)= 392 MPa 50-0 ; T7 σα -392-250=142 MPa I 26.8(10) 0.1 y=0.0638-63.8 mm Ans nark b: Collapse Modes Mode 3P 4Mダ 1.33 스스 2 P MMode 2 Mode. 3 5-P..금 6 [email protected] lo de . is plastic. 2ollapse mpde P= 1.2 x 4