Create a mathematical model of the shear force and bending moments for each beam arrangement, For each you need to present your findings as annotated

You need to produce a report that demonstrates analytical and practical skills and use these to explain the effects of loads on simply supported and cantilever beams, suggesting improvements to the structures.

Task 1A:

Below are diagrams that show two simply supported beams and a cantilever beam, each of which has three point loads. You need to:

• Create a mathematical model of the shear force and bending moments for each beam arrangement, For each you need to present your findings as annotated shear force and bending moment diagrams.
• Create a mathematical model for the maximum deflection on the Cantilever beam
• Use your diagrams to identify significant data, including maximum and minimum values, points of contraflexure and the Shear force and bending moment values at the halfway section of the simply supported beams
• Safely set up apparatus for each beam arrangement using the distance and loading given to you. Once set up, you need to gather experimental results for each beam. To include; reaction forces at the supports, Shear force and bending moment values at the halfway section of the simply supported beams and the maximum deflection of the cantilever beams
• Record all your work in the Logbook template provided. Your logbook must be neat, tidy and well presented as a professional document.
  Find your individual data for the distances and forces in the data sheets provided.

Note: The force asserted by the mass of the beam is to be ignored.

Take Gravity as : 9.81 m/s2

Task 1A- beam A1: (Note: diagram is not to scale)

Task 1A- beam A2: (Note: diagram is not to scale)

Task 1A- beam A3: (Note: diagram is not to scale)

• Modulus of Elasticity for Mild steel: 2×105 N/mm2
• Area moment of Inertia for 16 x16 mm square section beam: 5.461×103 mm4

Task 1B

Below are diagrams that show two simply supported beams and a cantilever beam, each of which has two point loads and an UDL. You need to:

• Create a mathematical model of the shear force and bending moments for each beam arrangement, For each you need to present your findings as annotated shear force and bending moment diagrams.
• Create a mathematical model for the maximum deflection on the Cantilever beam
• Use your diagrams to identify significant data, including maximum and minimum values, points of contraflexure and the Shear force and bending moment values at the halfway section of the simply supported beams
• Safely set up apparatus for each beam arrangement using the distance and loading given to you. Once set up, you need to gather experimental results for each beam. To include; reaction forces at the supports, Shear force and bending moment values at the halfway section of the simply supported beams and the maximum deflection of the cantilever beams
• Record all your work in the Logbook template provided. Your logbook must be neat, tidy and presented well as a professional document.

Find your individual data for the distances and forces in the data sheets provided.

Note: The force asserted by the mass of the beam is to be ignored.

Take Gravity as : 9.81 m/s2

ask 1B- beam B1: (Note: diagram is not to scale)

Task 1B- beam B2: (Note: diagram is not to scale)

Task 1B- beam B3: (Note: diagram is not to scale)

• Modulus of Elasticity for Mild steel: 2×105 N/mm2
• Area moment of Inertia for 16 x16 mm square section beam: 5.461×103 mm4