Members AB and BC of the truss shown are made of the same

Chapter 1, Problem 1.40

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QUESTION:

Members AB and BC of the truss shown are made of the same alloy. It is known that a 20-mm-square bar of the same alloy was tested to failure and that an ultimate load of 120 kN was re-corded. If a factor of safety of 3.2 is to be achieved for both bars, determine the required cross-sectional area of (a) bar AB, (b) bar AC.

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QUESTION:

Members AB and BC of the truss shown are made of the same alloy. It is known that a 20-mm-square bar of the same alloy was tested to failure and that an ultimate load of 120 kN was re-corded. If a factor of safety of 3.2 is to be achieved for both bars, determine the required cross-sectional area of (a) bar AB, (b) bar AC.

ANSWER:

Step 1 of 14

We have to determine the cross sectional area of members AB and AC for given allowable tensile stresses. This is a determinate truss, so using the methods of moments and joints we will find the axial forces in these members and thus required stresses.

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