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Strength of materials W / Sterkteleer W - 244
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2.3. Calculate the maximum shear stress in the structure (3 significant figures).
2.2 Calculate the value of the reaction torque at A (3 significant figures).
A rod is made from two segments: AB is steel and BC is brass. It is fixed at its ends C and A, and subjected to a torque 605 at B.
The length of the steel bar is LAB = 0.6 m and its diameter is dAB = 38 mm, and that of the brass section is LBC = 1.7 m.
The shear modulus of steel is 80 GPa and brass is 40 GPa.
2.1 Calculate the diameter of the brass section when the reactions at A and C are the same. (3 significant figures)
1.4 Calculate the compression of the spring (3 significant figures).
Note that as the compression is asked, a positive value would indicate a negative change in length of the spring.
An aluminium (E = 70 GPa) post with a diameter 50 mm. It is securely attached to a structure at A and B. A coiled spring (spring constant 156 MN/m) that is originally uncompressed (before P is applied) is placed over section CB, between the rigid collar at C and the fixed support at B. The lengths LAC = 0.23 m and LBC = 0.37 m.
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1.1 Calculate the internal force in section AC (to 3 significant figures) when a load P of 43 kN is applied at the collar at C.
A positive value indicates a tensile force.
1.2 Calculate the internal force in section BC (to 3 significant figures) under the same condition as in 1.1.
A positive value indicates a tensile force.
1.3 Calculate the change in length of the top section of the rod, section AC (3 significant figures).
A positive change in length indicates an extension or stretch of length AC.
Question 3
The horizontal rigid beam ABCD is supported by vertical bars BE and CF and is loaded by vertical forces P1 and P2 acting at points A and D. Both bars are made from steel (E = 200 GPa) and have a square cross-section with side length 25 mm.
Assume: LAB = 1.8 m, LBC = 1.8 m, LCD = 2.3 m, LCF = 1.6 m, LEF = 0.9 m.
Match the loading scenarios with the correct geometry of deformation sketches.
The dashed line is the original horizontal position (datum) of beam ABCD. Make sure that the bar elongations match the stress states: for a elongation above the datum, the bar will be in tension, and visa versa.
2.2 Calculate the axial stress in the tube
Give your answer to 3 significant figures
1.4 Calculate the final length of the tube
Give your answer to 4 significant figures