2.) (21 marks) A cantilever beam ABC is subjected to the loads shown below. The cross-sectional area of the beam consist

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2 21 Marks A Cantilever Beam Abc Is Subjected To The Loads Shown Below The Cross Sectional Area Of The Beam Consist 1 (98.83 KiB) Viewed 21 times

2.) (21 marks) A cantilever beam ABC is subjected to the loads shown below. The cross-sectional area of the beam consists of four wood members connected using nails as shown below. (a) Draw the free body diagram (FBD) of the entire beam and calculate the reactions at A. (b) Use the section method to determine the equations of internal shear force (V) and bending moment (M) in each section of the beam as a function of x (i.e. distance from 4). Draw the FBD for each section of the beam after the cut. Calculate the significant values of the shear force and bending moment along the beam using the equations, then draw the V(x) and M(x) diagrams on the axes provided on the next page or your own paper. Show your calculation, not only the diagrams. Note: Within each section, calculate the values of V and M for a sufficient number of points to accurately draw the V(x) and M(x) diagrams: i.e 3 points are required to plota quadratic function, and 4 points are required to plot a cubic function, (c) Determine the absolute maximum shear force and bending moment and their locations, (d) If each nail can support 600 lb of shear, determine 1) the required spacing s of the nails at Dand 2) the required spacing s'at E needed to support the loading. HH 8 kip 2 kip/f 5 4 D --- Ме 50 kip-ft 611 411 Unit inch X The position of each nail above is shown for illustrative purpose only-it is not actual position