State True (T) or False (F) for the following statements:- 1) For a beam with an...

 

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State True (T) or False (F) for the following statements:- 1) For a beam with an unsymmetrical cross section, the location of the neutral axis of the cross section under partial and fully plasticity condition is the same. ii) The shape factors of square and rectangular cross sections are different. iii) In elastic-plastic bending the axial normal strains developed in the cross section vary linearly from zero at the neutral axis of cross-section to a maximum at the farthest point from the neutral axis. iv) The maximum elastic moment developed in a cross section of a beam is always higher than the plastic moment. b) A simply supported beam ABCDE supports a uniformly distributed load w, as shown in Figure Q3 (a). The cross sectional area of the beam is shown in Figure Q3 (b). The material is assumed to behave linearly elastic-perfectly plastic. The beam is made from mild steel with d=220 MPa. 1) Calculate the shape factor of the cross section of the beam i) Calculate the magnitude of w which will cause the whole flanges at section C to become fully plastic. m w kN/m 2 m 2 m Figure Q3 (a) 1 m Flanges (2 marks) E Webs (8 marks) 20 60 20 All dimensions in mm Figure Q3 (b) 20 120 20 State True (T) or False (F) for the following statements:- 1) For a beam with an unsymmetrical cross section, the location of the neutral axis of the cross section under partial and fully plasticity condition is the same. ii) The shape factors of square and rectangular cross sections are different. iii) In elastic-plastic bending the axial normal strains developed in the cross section vary linearly from zero at the neutral axis of cross-section to a maximum at the farthest point from the neutral axis. iv) The maximum elastic moment developed in a cross section of a beam is always higher than the plastic moment. b) A simply supported beam ABCDE supports a uniformly distributed load w, as shown in Figure Q3 (a). The cross sectional area of the beam is shown in Figure Q3 (b). The material is assumed to behave linearly elastic-perfectly plastic. The beam is made from mild steel with d=220 MPa. 1) Calculate the shape factor of the cross section of the beam i) Calculate the magnitude of w which will cause the whole flanges at section C to become fully plastic. m w kN/m 2 m 2 m Figure Q3 (a) 1 m Flanges (2 marks) E Webs (8 marks) 20 60 20 All dimensions in mm Figure Q3 (b) 20 120 20

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Statement 1 For a beam with an unsymmetrical cross section the location of the neutral axis of the cross section under partial and fully plasticity condition is the same Answer False The neutral axis ... View the full answer