Q3) Fig. Q3 shows a simply supported beam with an l-section which is symmetric with respect...

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Q3) Fig. Q3 shows a simply supported beam with an l-section which is symmetric with respect to x- and y-axes. The beam is subjected to a lateral shear force (F) at its centre. The yield stress and modulus of elasticity of the material are oy=300MPa and 200GPa, respectively. Assume an ideal elastic/perfectly plastic material. Determine, i) the shape factor (Q) of the section. Express your result in terms of B,H,b and h. Assume B-60mm, H=120mm, b=30mm and h=60mm. Determine the applied load (F) when the yielding initiates. iii) a plastic hinge is developed at the centre of the beam. 2H-h from the iv) the yielding penetrates to a depth of (t = top and bottom surfaces at mid span of the beam, as shown in Fig. Q3. After case iv, find the length over which yielding has occurred (2). vi) the elastic-plastic beam is now fully unloaded. Calculate the residual stress distribution for the unloaded beam and the corresponding radius of curvature. Assume elastic springback during unloading. [35 marks] H B 1m b/2 F 2 Plastic zones Fig. Q3 1m h/4 Q3) Fig. Q3 shows a simply supported beam with an l-section which is symmetric with respect to x- and y-axes. The beam is subjected to a lateral shear force (F) at its centre. The yield stress and modulus of elasticity of the material are oy=300MPa and 200GPa, respectively. Assume an ideal elastic/perfectly plastic material. Determine, i) the shape factor (Q) of the section. Express your result in terms of B,H,b and h. Assume B-60mm, H=120mm, b=30mm and h=60mm. Determine the applied load (F) when the yielding initiates. iii) a plastic hinge is developed at the centre of the beam. 2H-h from the iv) the yielding penetrates to a depth of (t = top and bottom surfaces at mid span of the beam, as shown in Fig. Q3. After case iv, find the length over which yielding has occurred (2). vi) the elastic-plastic beam is now fully unloaded. Calculate the residual stress distribution for the unloaded beam and the corresponding radius of curvature. Assume elastic springback during unloading. [35 marks] H B 1m b/2 F 2 Plastic zones Fig. Q3 1m h/4

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by Given Data y 300 Mia 30 011 E 2009 200X10 mo my Mp Plastic moment m... View the full answer