Purchase Solution

Drop height to acheive known deflection in a beam

Not what you're looking for?

Ask Custom Question

A .5m long beam with 29N-m stiffness is attached to a 45kg weight. The beam is inclined 30 degrees from vertical. Assume the beam has no mass, assume the 45kg weight is "sliding" down a vertical pole of infinite stiffness and zero friction.
The mass is dropped and the end of the beam deflects .095m when it contacts the ground.

At what height must the Beam be dropped from to create this deflection? Please arrange the equations so the mass and the beam angle can easily be changed as variables.

Purchase this Solution
Solution Summary

The expert drop the height to achieve known deflection in a beam.The infinite stiffness with zero friction is determined.

Solution Preview

Something is not clear for me in the data you gave, as you have not given the details of the cross-section of the beam.

I shall assume that by "29N-m stiffness" you actually mean the stiffness factor EI = 29 N m^2, according to definitions I found at this web page:
http://darkwing.uoregon.edu/~struct/courseware/461/461_lectures/461_lecture40/461_lecture40.html

However in this case this number is clearly TOO SMALL as I find below.
I can offer you a solution as a formula into which you can substitute the correct numbers or definitions if you find them (one possibility: EI may be 29 KN m^2 = 29000 N m^2 - that is the letter K was lost somewhere).

I shall also assume that the deflection is defined as the shift of the end of the beam in the direction perpendicular ...

Purchase this Solution
Free BrainMass Quizzes
Variables in Science Experiments

How well do you understand variables? Test your knowledge of independent (manipulated), dependent (responding), and controlled variables with this 10 question quiz.

Basic Physics

This quiz will test your knowledge about basic Physics.

Introduction to Nanotechnology/Nanomaterials

This quiz is for any area of science. Test yourself to see what knowledge of nanotechnology you have. This content will also make you familiar with basic concepts of nanotechnology.

Classical Mechanics

This quiz is designed to test and improve your knowledge on Classical Mechanics.

The Moon

Test your knowledge of moon phases and movement.

View More Free Quizzes
Related BrainMass Solutions

  • Deflection and slope of cantilever beam

    The bending moment M in a beam can be related to the shear force, V, and the lateral load, q, on the beam.

  • Equation of an Elastic Curve

    The table below of beam deflection and slope shows some basic equations for elastic curve, maximum deflection, and slope at the end. The elastic curve or deflection curve is a curve or equation of the deflection of the beam with respect to x.

  • Deflection of a Beam

    70636 Deflection of a Beam If a beam of lenght L is fixed at the ends and loaded in the centre of the beam by a point load of F newtons the deflection at a distance x from one end is given by : y= (F/ 48Ei)(3L^2x-4x^3) Find the position and the

  • 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.

  • Beam deflection and Stress at centroid?

    I'm asked to determine the deflection of the tip of a beam and max direct stress and location for a 2000N load. Given load=2000N, on the tip of a 1m beam. Beam dimensions are H=80mm B=W=40mm and t=thickness of 1.5mm.

  • Beam deflection at corner through centroid?

    25279 Beam deflection at corner through centroid? I'm asked to determine the deflection of the tip of a beam for a 2000N load. The section is rotated 15 degrees. The load application point is through the centroid of section.

  • Cantilever Beam Deflection

    9491 Cantilever Beam Deflection A problem is needed using microsoft visual C++ to do the following.

  • Cross-Beam Systems

    150013 Cross-Beam Systems With respect to the cross-beam system shown in the Figure (see attached), if L_B - 4(L_A), what part of the total load P is carried by beam A? By beam B?

  • Beam deflection and Stress at corner?

    25278 Beam deflection and Stress at corner? So, how would I set this problem up? We're asked to determine the deflection of a beam location for a 2000N load. However, the force is directed up the corner NOT centroid.

View More Related Solutions