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Strength of materials W / Sterkteleer W - 244
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Question 2
The trusswork structure shown below is built from 5 aluminium (E = 70 GPa) truss members, each with square cross section 20 x 20 mm2.
A 20 kN vertical load is applied at joint A and a vertical load F = 16 kN is applied at joint D.
a) Use Castigliano's theory to calculate the vertical displacement of the joint A.
A positive value indicates displacement in the same direction as which the 20 kN load is applied at A.
c) Calculate the end point deflection of the beam, at point C, when the 107-kg mass is dropped from a height h that results in a maximum normal stress in the beam of 253 MPa.
A downwards deflection is negative.
b) Calculate the maximum height from which the 107-kg mass can be dropped to not exceed the 253 MPa maximum normal stress design condition.
Question 1
A simply-supported overhanging steel beam (E = 200 GPa) is shown below. A 107-kg mass is dropped from a state of rest, from height h onto the end of the beam.
a) If the maximum normal stress due to bending in the beam is 253 MPa, calculate the maximum equivalent static load that can be applied to the end of the beam.
Question 2
The trusswork structure shown below is built from 5 aluminium (E = 70 GPa) truss members, each with square cross section 20 x 20 mm2.
A 20 kN vertical load is applied at joint A and a vertical load F = 29 kN is applied at joint D.
a) Use Castigliano's theory to calculate the vertical displacement of the joint A.
A positive value indicates displacement in the same direction as which the 20 kN load is applied at A.
c) Calculate the end point deflection of the beam, at point C, when the 89-kg mass is dropped from a height h that results in a maximum normal stress in the beam of 304 MPa.
A downwards deflection is negative.
b) Calculate the maximum height from which the 89-kg mass can be dropped to not exceed the 304 MPa maximum normal stress design condition.
Question 1
A simply-supported overhanging steel beam (E = 200 GPa) is shown below. A 89-kg mass is dropped from a state of rest, from height h onto the end of the beam.
a) If the maximum normal stress due to bending in the beam is 304 MPa, calculate the maximum equivalent static load that can be applied to the end of the beam.
b) Calculate the horizontal displacement of the joint A.
Displacement to the right is positive.
Question 2
The trusswork structure shown below is built from 5 aluminium (E = 70 GPa) truss members, each with square cross section 20 x 20 mm2.
A 20 kN vertical load is applied at joint A and a vertical load F = 26 kN is applied at joint D.
a) Use Castigliano's theory to calculate the vertical displacement of the joint A.
A positive value indicates displacement in the same direction as which the 20 kN load is applied at A.