Consider a 400mm long beam with a pinned left and simple roller right supports at each end respectively The beam is subjected to

Question

Consider a 400mm long beam with a pinned left and simple roller right supports at each end respectively The beam is subjected to three concentrated forces P P and 3P as shown in the figure below The beam cross section with detailed dimensions is shown in the figure right Take E 200 GPa Length unit mm X 100 P 100 A 3P 50 50 4 100 12 Figure 2 Beam with concentrated loads and cross section 16 Neutral axis a Find the location of the neutral axis on the beam cross section and the moment of inertia about the neutral axis b If Ex 50 x 10 5 at A determine how much P is given that the applied forces are P P and 3P The point A see the red dot right is 3 mm from the top edge of the cross section and the section containing the point A is shown in the figure i e at 150 mm from the roller support c Draw the shear and bending moment diagrams for the beam using the value of P you found in part b Use the graphical method to get full credit Label your diagrams with appropriate values and justify them showing your calculations d Find the maximum tensile and compressive stresses max in the beam and indicate their locations e If the cross section is flipped 180 from the inversed T to T shape how much would the maximum compressive and maximum tensile stresses be

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