Question 7- SFD & BMD - Simply Beam (UDL) UDL = 6 kN/m 8 m i) Draw the Free-Body Diagram & Find Reaction Force ii) Draw Shear Force Diagram (SFD), clearly show all the shear force the beam is experiencing at each point. iii) Draw the Bending Moment Diagram (BMD), clearly show all the bending moment the beam is experiencing at each point.

c) The same rectangular cross-section beam in Q2b is subjected to a maximum bending moment of 25,000 Nm and experiences sagging. Assuming that the centroidal axis passes through the beam section at (d/2), calculate the maximum bending stress (?max) the beam will experience. Give your answer in N/mm2 and to 2 decimal places.

8 kN/m 5 kN/m 1.5 m -0.75 m- 0.75 m- What is the magnitude of the resultant force equivalent the distributed load applied to this beam (kN)?

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Question 6 - SFD & BMD-Simply Beam (Point) From the beam shown below, i) Draw the Free Body Diagram (FBD) & Find R1 & R2 ii) Draw Shear Force Diagram (SFD), clearly show all the shear force the beam is experiencing at each point. iii) Draw the Bending Moment Diagram (BMD), clearly show all the bending moment the beam is experiencing at each point. 400 N 600 N 200 N 800 N 0.8 m 0.3 m--0.3 m- 0.4 m 0.4 m C 0.9 m 0.5 mo.2 m-

PROBLEM 2: Part a.) Derive the appropriate equations for shear and bending moment throughout the beam. Measure x-distance from the left side of the beam and make sure to tell where each equation is applicable. Part b.) Draw the shear and bending moment diagrams for the beam. 3 kN/m A 6 m B 7 kN/m 3 m C

a) The second moment of area about the centroidal x-axis (IXXcentroid) for the solid homogeneous beam section shown below is 737,101.55 mm4. What is the second moment of area about the centroidal y-axis (IYYcentroid). Give your answer in mm4 to two significant figures.   b) If the second moment of area (IXX) for the solid homogeneous beam section shown below is 917,387.73 mm4, determine the diameter d. Give your answer in millimetres (mm) to two decimal places.

a) Write an expression for the bending moment at an arbitrary point between A and B. Use the standard sign convention for the internal moment for a beam b)Write an expression for the bending moment at an arbitrary point between B and C. c)Draw the moment diagram for the beam Express your answer for a and b in terms of x so the result is in kN when x is in meters P=4 kN w=0.8 kN/m