ABC carrying a pure moment of M kN.m at point B. The cross-sectional area of the beam is shown in Figure Q3 (b). The yield stress of the material is 250 MPa and the material is assumed to behave linearly elastic-perfectly plastic. a) Where is the critical location for the beam and give ONLY ONE (1) reason b) Determine the moment to initiate yielding in the cross-section of the beam c) Find the value of M that can cause plastic collapse (fully plastic) in the cross-section of the beam at the critical location and sketch the variation of stress
Figure Q3 (a) shows a cantilevered beam ABC carrying a pure moment of M kN.m at point B. The
cross-sectional area of the beam is shown in Figure Q3 (b). The yield stress of the material is 250 MPa and the material is assumed to behave linearly elastic-perfectly plastic.
a) Where is the critical location for the beam and give ONLY ONE (1) reason
b) Determine the moment to initiate yielding in the cross-section of the beam
c) Find the value of M that can cause plastic collapse (fully plastic) in the cross-section of the beam
at the critical location and sketch the variation of stress
d) If the TOTAL DEPTH of the plastic zone to be 20 mm at the critical location, WITHOUT ANY
CALCULATION, sketch the variation of stress.
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