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ENG1011 Engineering Methods - MUM S1 2025

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g) With different loading applied a free body diagram at joint C looks like the following;

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 The 20 kN and 15 kN forces represent the reaction forces at the support at C.  A method of Joints at other joints reveals forces FBC = -10 kN (compression)  and  FCF= 6 kN (tension). 

Calculate the value of the force FCH  in  kN[2 marks]

Assume the same angles between all members as previously.

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Problem 1

A pin jointed truss structure is shown in Figure 1.

Three point loads are applied to the system as shown.  The truss is supported by a vertical roller support at D and a pin support at C.

Note: Incorrect answers chosen here will incur penalty marks.

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Figure 1

a) By inspection (without calculation) note which members in the truss have zero force in them?  

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The truss shown has a horizontal load of P= 36.27 kN applied at joint B.  

Using the Method of Joints, calculate the force in member BC (in kN). Indicate whether the member is in tension or compression by using the '-' for compression and no sign for tension. 

Do NOT include any units.

Give your answer to 1 decimal place.

Image failed to load: truss numerical question

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When using Method of Joints, which node(s) could your analysis begin at to determine the forces in each member of the truss shown? Assume the reaction forces are all known.  

Image failed to load: Truss Analysis - 2

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When using Method of Joints, which node would you analyse to determine the internal forces in members AB & BC of the truss shown?

Image failed to load: Truss Analysis - 1

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In the truss system below, with the loading as shown, member BC;

Image failed to load: truss1

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In a truss, the joints are assumed to be pin jointed.

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Classify the following trusses as either unstable (U), determinate (D), or indeterminate (I).

 

(a) 

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(b)

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(c)

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The truss shown has a horizontal load of P= 8.8 kN applied at joint B.  

Using the Method of Joints, calculate the force in member BC (in kN). Indicate whether the member is in tension or compression by using the '-' for compression and no sign for tension. 

Do NOT include any units.

Give your answer to 1 decimal place.

Image failed to load: truss numerical question

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When using Method of Joints, which node(s) could your analysis begin at to determine the forces in each member of the truss shown? Assume the reaction forces are all known.  

Image failed to load: Truss Analysis - 2

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