Purchase Solution

Cantilever Beam with Maximum Tensile Strength

Not what you're looking for?

Ask Custom Question

A cantilever beam is to be made using a symmetrical I section beam. The cantilever is to carry a load of 40kN at a distance 2.5m from the fixed end. The situation allows for a depth of I-beam to be no greater than 250mm. I-beams of this depth are normally supplied with a flange of thickness 8mm and web thickness of 6mm. Calculate the flange width if the maximum tensile stress is not to exceed 180MN/m2.

Explain and show calculations.

Purchase this Solution
Solution Summary

This solution provides detailed explanations of the given mechanical engineering question.

Solution Preview

The steps for working this type of problem are attached. These are included in both word and pdf. Good luck.

The set-up of this problem is shown above. The maximum tensile strength occurs at the fixed end on the side of the applied load. The formula for max stress is: (please see the attached file).

Where M is the moment at the location of max stress, I is the moment of inertia of the beam, and c is the distance from the centerline to the point of max stress. In this case the neutral axis is located at the mid-section of the I beam. Therefore, the distance from this mid line to the outermost fiber ...

Purchase this Solution
Free BrainMass Quizzes
Architectural History

This quiz is intended to test the basics of History of Architecture- foundation for all architectural courses.

Air Pollution Control - Environmental Science

Working principle of ESP

View More Free Quizzes
Related BrainMass Solutions

  • Beam deflection and Stress at centroid?

    For a cantilever beam with a point load at the extreme end, maximum deflection occurs at the free end and is: y_max = FL^3/(3EI) Here, F = 2000N L = 1 m I = Moment of Inertia = BH^3/12 The maximum bending stress is given as: sigma max = Mc/I, where

  • Stress Conditions, Etc.

    Determine the thickness of the elastic core x assuming the material is elastic perfectly plastic with a yield strength of 240MPa.

  • maximum tensile and compressive stresses

    5279 maximum tensile and compressive stresses Two vertical forces are applied to a beam of the cross section shown. Determine the maximum tensile and compressive stresses in portion BC of the beam.

  • Beam deflection at corner through centroid?

    Here M = Maximum bending moment = Fy*length of beam, and c = distance of a surface from the neutral axis. Clearly, the maximum bending stress will be at the junction of the cantilever to the wall.

  • Beam Deflection Solution

    366361 Beam deflection Q.1 Derive an expression for the deflection due to shear for a cantilever beam of constant rectangular cross section, under action of a point load, P at free end.

  • Bending of Beams

    61843 Bending of Beams Determine the maximum tensile and compressive bending stresses (together with the positions at which they occur) in the beam shown in the file. (Figure 1). The beams cross sectional area is also shown in the file.

  • Deflection and slope of cantilever beam

    114676 Deflection and Slope of Cantilever Beam For the cantilever beam and loading shown, determine the deflection and slope at point B. Use E = 29,000,000 psi. See the attached file. A beam under load deflects and bends.

  • Shear forces and bending moments

    (a) Calculate the maximum bending moment (b) Calculate the maximum stress in the beam (c) At the point of maximum stress sketch a graph of the stress distribution through the thickness of the beam, indicating which are tensile and compressive stresses

  • Deflection at a Slope Point

    Attached PDF shows the calculations to answer this multiple choice question on a cantilever beam.

View More Related Solutions