Select the lightest w-beam that will support the

Assignment Help Mechanical Engineering

Reference no: EM13614417

A simply supported beam of length 18 ft. is subjected to a trapezoidally distributed load that has a value of 3 kip/ft at x = 0 ft. and 6 kip/ft at x = 18 ft. The beam is made of a low carbon steel that has a yield strength of 48 ksi. Select the lightest W-beam that will support the distributed load. Furthermore, the maximum deflection cannot be more than 0.8 in.

Please use the following steps in choosing the beam:

1. Determine the reactions at the supports due to the applied load.

2. Draw SF and BM diagrams

3. Determine the maximum moment, shear force

4. Use the equations for normal stress to determine the section modulus.

5. Use tables to determine the W-beam that has the lowest section modulus that is bigger than the above.

6. Calculate the I for the beam by using the allowable deflection. See if the beam from step 5 has this I. If not, choose a different W-beam.
7. Now, take into account the weight of the beam and check to make sure that the beam can support the applied load as well as the self-weight. In addition, check to make sure that the shear strength of the beam is not exceeded.

8. A plot of the deflection curve of the beam

9. A plot of the slope of the deflection curve of the beam

10. Draw Mohrs Circle for a point on top of the cross-section of the beam where the maximum bending moment occurs. Determine the principal stresses and draw an element showing the principal planes.

Reference no: EM13614417

Questions Cloud

You learn the average gre score of private college : you learn the average gre score of private college graduates pursuing their mph is 1500 with a standard deviation of

If the mass of the first particle is 55 x 10-7 kg what are : two equally charged particles held 4.2 x 10-3 m apart are released from rest. the initial acceleration of the first

Thirty-five years ago young employees we hired : thirty-five years ago young employees we hired wereambitious conscientious hardworking and honest. todaysyoung workers

A conducting sphere of radius r1 carries a charge q another : a conducting sphere of radius r1 carries a charge q. another conducting sphere has a radius of r2 2r1 but carries the

Select the lightest w-beam that will support the : a simply supported beam of length 18 ft. is subjected to a trapezoidally distributed load that has a value of 3 kipft

Calculate the volume charge density of the atmosphere : in a particular region of earths atmosphere the electric field above earths surface has been measured to be 140 nc

A researcher conducts an independent-measures study : a researcher conducts an independent-measures study examining how the brain chemical serotonin is related to

Mercedes an attorney with a leading miami law firm : mercedes an attorney with a leading miami law firm isconvicted of failing to file federal income tax returns

Calculate the volume charge density of the atmosphere : in a particular region of earths atmosphere the electric field above earths surface has been measured to be 140 nc

User Account

All Pages