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A shear force diagram is shown.
Which of the following beams is represented in the shear force diagram?
The diagram shows a child with a mass of 45 kg hanging 2 metres from the left end of a structure, and an adult with a mass of 85 kg hanging 1 metre from the right end. \begin{array} {ll}
\text{R}_\text{L} = \text{............................... N} & \text{Direction ...............................} \\
& \\
\text{R}_\text{R} = \text{............................... N} & \text{Direction ...............................} \end{array}
i. \( \text{R}_{\text{L}}=860\ \text{N} \uparrow \) \( \text{R}_{\text{L}}= 440\ \text{N} \uparrow \) Show Answers Only
ii. 
i. \( \stackrel {\curvearrowright} {\sum{ \text{M}}{^{+}_\text{L}}}: \) \( \sum \text{F}_\text{V} \uparrow:\) Show Worked Solution
\(0\)
\(=(2 \times 450)+(4 \times 850)-(\text{R}_\text{R} \times 5) \)
\(5 \times \text{R}_\text{R}\)
\(=900 + 3400\)
\(\text{R}_\text{R}\)
\(=860\ \text{N} \uparrow \)
\(0\)
\(= -450-850+860+\text{R}_\text{L} \)
\( \text{R}_{\text{L}}\)
\(= 440\ \text{N} \uparrow \)
ii.
Why would an engineer refer to shear force diagrams and bending moment diagrams when determining the effects of loads on a beam? (4 marks)
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A 6-metre beam is loaded as shown.
On the following page, draw the shear force and bending moment diagrams. Support your answer with relevant calculations. Ignore the weight of the beam.
Space for calculations is provided below. (6 marks)
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`text{Shear Force calculations:}`
`text{SF}_1=+↑ SigmaF = 16\ text{kN}`
`text{SF}_2=+↑ SigmaF = 16-15 = 1\ text{kN}`
`text{SF}_3=+↑ SigmaF = 16-15-12 = -11\ text{kN}`
`text{Bending Moment calculations:}`
`text{BM}_1=+↓ SigmaM = 16 xx 2=32\ text{kNM}`
`text{BM}_2=+↓ SigmaM = 16 xx 3-15xx1=48-15=33\ text{kNM}`
`text{BM}_3=+↓ SigmaM = 16 xx 6-15xx4-12xx3=96-60-36=0\ text{kNM}`
A drawing of an aircraft in flight is shown. This aircraft maintains a constant velocity when in level flight.
On the following page, draw a labelled shear force diagram AND a labelled bending moment diagram for this situation. Include a labelled free body diagram to support your answer.
Assume the centre of lift on each wing acts as a point load located 7.5 m from the centre line of the plane.
Calculations can be completed in the space below. (6 marks)
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A solar panel is to be attached to the roof of a residential garage. A beam of mass 40 kg is shown. The solar panel generates a 25 kg point load as shown.
Complete the shear force and bending moment diagrams for the beam, using an appropriate scale. (4 marks)
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Notes:
→ Ensure each point is labelled
→ Label each axis with units so they do not have to be repeated at every point
→ Ensure consistent scale and correct distances between forces
Notes:
→ Ensure each point is labelled
→ Label each axis with units so they do not have to be repeated at every point
→ Ensure consistent scale and correct distances between forces
A uniformly distributed load is applied to a simply supported beam.
Which of the following is the correct shear force diagram for this load?
