Question

a simply supported beam abcd with arectangular cross section carries the loading shown in figure. the uniform beam has a mass of 33 kg per meter (m kg/m) and a cross section as shown in the figure. you may take 10 m/s^2 as acceleration.


Question A2 A simply supported beam ABCD with a rectangular cross-section carries the loading shown in Figure QA2. The unifor

Question A2 

A simply supported beam ABCD with a rectangular cross-section carries the loading shown in Figure QA2. The uniform beam has a mass of m kg per meter of length (m kg/m) and a cross-section as shown in Figure QA2. You may take 10 m/s as the acceleration of gravity in this question. Take m as the last two digits of your student id number in kg/m (for example 13061789 would become 89 kg/m and 08044705 would become 5 kg/m). 


a) Write the different shear force equations for the beam in between each letter shown in Figure QA2 (3 marks) 

b) Plot the Shear Force diagram using the values obtained. (2 marks) 

c) Write the different bending moment equations for the beam in between each letter shown in Figure QA2 (7 marks) 

d) Plot the Bending Moment diagram using the values obtained (4 marks) 

e) Determine the value of the maximum bending moment and its location. (2 marks) 

f) Determine the second moment of area / of the beam in m (3 marks) 

g) Determine the magnitude and location of the maximum bending stress in the beam. (4 marks)

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