Question

1. A Steel cantilever beam is carrying a distributed load and two point loads (see fig. 1). The beam has a Young Modulus $E = 180 \text{ GPa}$ and a rectangular cross section of 150 mm height and 100 mm depth. \begin{figure}[h] \centering \includegraphics[width=0.8\textwidth]{beam_diagram} \caption{Figure 1} \end{figure} (a) (i) Write the bending moment expression using Macauley's method (8 marks) (ii) Determine the bending moment at A (3 marks) (iii) Determine the bending moment at B (3 marks) (iv) Determine the bending moment at C (3 marks) (v) Derive the slope equation and find the value for the integration constant. (6 marks) (vi) Find the deflection at C (8 marks)

          1.
A Steel cantilever beam is carrying a distributed load and two point loads
(see fig. 1). The beam has a Young Modulus $E = 180 \text{ GPa}$ and a
rectangular cross section of 150 mm height and 100 mm depth.

\begin{figure}[h]
\centering
\includegraphics[width=0.8\textwidth]{beam_diagram}
\caption{Figure 1}
\end{figure}

(a) (i) Write the bending moment expression using Macauley's
method
(8 marks)
(ii) Determine the bending moment at A
(3 marks)
(iii) Determine the bending moment at B
(3 marks)
(iv) Determine the bending moment at C
(3 marks)
(v) Derive the slope equation and find the value for the
integration constant.
(6 marks)
(vi) Find the deflection at C
(8 marks)

1.
A Steel cantilever beam is carrying a distributed load and two point loads
(see fig. 1). The beam has a Young Modulus E = 180 GPa and a
rectangular cross section of 150 mm height and 100 mm depth.

< g r a p h i c s >

Figure 1

(a) (i) Write the bending moment expression using Macauley's
method
(8 marks)
(ii) Determine the bending moment at A
(3 marks)
(iii) Determine the bending moment at B
(3 marks)
(iv) Determine the bending moment at C
(3 marks)
(v) Derive the slope equation and find the value for the
integration constant.
(6 marks)
(vi) Find the deflection at C
(8 marks)

Added by Amber E.

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