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ENG1011 - Engineering Methods - S1 2025

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Based on the known relationship between shear-and-moment  (V=dM/dx) calculate the value of:

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Which option best depicts the shape of the SFD (Shear Force Diagram) of the following beam?

Image failed to load: SFD

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What shape does the following load give to a bending moment diagram - assuming there is load on other parts of the beam?

Image failed to load: no load

    

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Based on the known relationship between load and shear, use the SFD diagram below to calculate the actual value of the load P2 (kN) on the beam.  

Provide your answer to the nearest integer without units. 

 

Image failed to load: shear-load1

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Which of the following shows the positive sign convention for the internal actions when we we cut the beam at A?

 

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What was the difference between 

  • the length of the Al 6063 sample while the force in question 2(c) is being applied, and
  • the length of the Al 6063 sample after the force in question 2(c) has been released?

In other words, how much did the specimen retract (elastic recovery) once the force was removed?

Give your answer in mm, to at least 2 significant figures

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What are the effective length factors of the following support systems, that would be used to calculate the buckling capacity of the columns shown?

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What failure modes must be analysed for members experiencing... 

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The following file contains data from a tensile test of a sample of acrylic sheet, from the same batch as was used to create the meccano pieces in your bridge kit.

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You can download the data file here. Save the data to your computer, open it in a spreadsheet (e.g. Excel), and use the data to answer the following questions

After CHECKING your answers, for feedback on anything you got wrong, hover your mouse over the red cross next to your answer. 

(a) Find the ultimate tensile stress of the material

MPa

(b) Estimate the elastic modulus of the material

GPa

(c) The acrylic doesn't have a clear yield point. Instead, estimate the 0.2% proof stress of the material to give you a measure of where plastic deformation starts.

MPa

(d) Estimate the toughness of the material

MJ/m3

(e) Calculate the force that would be required to break a 20 mm diameter rod of this material

N

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What was the 0.2% proof stress for the Al 6063 sample that you determined in question 2(d)?

Give your answer in MPa, to at least 2 significant figures

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