Q1. Determine the plastic moment of a steel beam made of elastoplastic material. The beam cross-section...
A beam of the cross section shown is made of a steel that is assumed to be elastoplastic with E= 200 GPa. The bending is about the z axis. A couple of moment equal to the full plastic moment Mp is applied and then removed. Using a yield strength of 240 MPa, determine the residual stress at y = 45 mm. 90 mm 60 mm The residual stress is D M Pa.
A beam with cross-section as shown in Figure 2(a) is made of an elasto-plastic material. The stressstrain relationship of the material is as shown in Figure 2(b): (a) A bending moment is applied to this section and increased until the entire top flange yielded. Calculate the magnitude of the moment at this stage of loading. (b) Determine the yield moment of the beam (c) Determine the ultimate moment capacity of the beam (d) Determine the shape factor of the beam...
a) A beam of the cross section shown below is made of an elastic-plastic material for which the yield stress is 300 MPa. Find the plastic moment Mp and the maximum elastic moment Me. Also determine the distribution of the residual stresses in the beam after the plastic moment Mp is applied and then released 100mm 30mm 80mm 20mm Fig 94. Beam cross section (graphic art: Geoff Marchiori) a) A beam of the cross section shown below is made of...
Question a A beam of the cross section shown below is made of an elastic-plastic material for which the yield stress is 300 MPa. Find the plastic moment M, and the maximum elastic moment M Also determine the distribution of the residual stresses in the beam after the plastic moment M, is appliod and then reloaoed. 8 mm +1 90 mm 8 mm 130 mn 8 mm Question a A beam of the cross section shown below is made of...
A beam of the cross section shown is made of a steel that is assumed to be elastoplastic with E-200GPa and Oy=200MPa For bending about the z axis, determine the bending moment (kN-m)at which yield first occurs Y 30 mm С 30 mm 30 mm 15 mm 15 mm 30 mm
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. Question 4 a The H-beam is made of an elastic-plastic material for which oy 400 MPa. Find the plastic moment...
A beam with a cross section shown below is subjected to a positive moment about a horizontal axis. The beam is made from an elastic perfectly plastic material with an allowable yield stress of 220 MPa. "t" has a value of 12 mm. Answer the questions that follow: 10t 6t Determine the centroid of this section i.e.as measured from the bottom of the section in [mm) - Determine the moment of inertia about the elastic neutral axis in [mm4] Determine...
Question 3 The H-beam is made of an elastic-plastic material for which g-250 MPa. 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 Mp20 mm 20 mm 0 m 200 mm 20 mm Question 3 The H-beam is made of an elastic-plastic material for which g-250 MPa. Determine the shape factor for the...
1. A beam has a max moment of 45 kN-m. The cross section of the beam is shown in the figure below. a. State the distance of the centroid from the 2 axis. b. Calculate the area moment of inertia about the centroid. c. Calculate the maximum stress in the beam 300 mm 20 mm 185 mm 20 mm 35 mm 1. A beam has a max moment of 45 kN-m. The cross section of the beam is shown in...
(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...