Questions tagged [bending]

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79 views

Simple cantilever beam deflection - what is the simplest way to add a damper?

I am looking at a simple cantilever beam deflection: I understand the general expression for deflection/force would be: $$y_s = \frac{Fx_s^3}{3EI}$$ $$F_p = \frac{3y_sEI}{x_s^3}$$ If you were going ...
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3answers
128 views

Failure in Hollow, Thin Beam due to Collapse of Cross Section

I'm having trouble figuring out how to predict the failure of a hollow channel due to bending. If I'm correct, for a beam with a static second moment of area, $I$, the following equation could be used ...
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2answers
192 views

Multiple varying cross section beam with uniform loads

I have the following cantilever beam problem where I need to find the deflection of the tip at P. I tried to compute the deflection of the beam using Castignliano' s theorem as described in this ...
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2answers
56 views

How to calculate the deflection displacement of a circular looped, closed bending beam?

There is a given ring A, with a given cross section B. Ring A is placed on Columns C. The number of the columns is a variable, but minimum three. The linear distance X between two columns can be ...
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1answer
47 views

Maximum shear in a beam

Engineering books and lectures typically make two things clear: Maximum bending stresses (normal) develop at the beam surfaces, that is, at the greatest distance from the neutral axis. Shear stresses ...
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1answer
22 views

Modeling the Internal Forces Exerted on a Catapult Arm while Throwing

I am currently creating a MATLAB script to determine the internal forces present in a uniform beam as it is accelerated by a torsional spring. I was able to derive the equation for the axial force ...
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1answer
33 views

Why can't I-beam resist torsion but can resist shear stress due to transverse loading?

It is already known that the I-beam is very bending resistant (causes less deflection for the same transverse load and also results in lesser stresses relatively). But for an eccentric transverse load ...
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3answers
51 views

Which force generates the reaction moment in a fixed support

The question is: Which force causes the reaction moment at a fixed joint ? Lets consider a very simple example, a beam with one end connected by a fixed support to a wall. I understand that at A, ...
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4answers
268 views

Is bending moment along a beam independent of the cross sectional area of the beam?

We know this that if the a cantilever beam (of any cross section) is fixed at one end and a transverse force is applied on the other, then it will bend. However, we just casually assume that the ...
2
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1answer
53 views

Metal sheet forming - material properties when switching material

What does one have to look out in material properties when changing material grade in cold sheet forming operation (example: from DC04 to DC03 or to DC01). Operation is mostly made of 90°bends and ...
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2answers
31 views

Does the Superposition principle actually make sense in reality for a rod subjected to bending and axial force togehter?

Consider a rectangular rod, for example. I fix it from one end and apply a transverse force on the other (to cause bending) and also a axial force (lets just assume its compressive). Now, according to ...
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2answers
61 views

Shear and Bending Moment

A square tube is slid into a larger square tube. If a load is applied to the end of the inner tube, I would think that inner tube would mainly contact the outer tube in two locations as the load is ...
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3answers
40 views

Find the maximum stress at a point in a machine member

A machine member having a diameter of 50 mm and a length of 250 mm is supported at one end as a cantilever subjected to different forces as shown in the figure. Find the maximum stress at points A and ...
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3answers
81 views

How many support beams/rods needed for a firewood storage cabinet

I am building a firewood storage cabinet which should support around 100-150 kg of firewood. The cabinet is made out of wooden boards (...
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2answers
253 views

Why do we always need to calculate the 'Moment of Inertia' about neutral axis for bending?

I was having a look at the bending stress derivation in few of the books. The derivation indicates how each of the element in the bending stress equation is derived into that equation. However, for ...
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0answers
134 views

How do I EXACTLY calculate the k-factor for metal bending?

Introduction I've recently started to work with metals and the process of bending them. There is a lot more math involved than I initially thought. All the break press operators just have a ...
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0answers
37 views

Unusual bending moment at simply supported beam in etabs [closed]

The horizontal beam is simply supported. I have assigned pinned to released the moment at the both ends. However, there's moment spike near the end in ETABS, what's the problem ? I have checked thru ...
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3answers
735 views

What are the units used in beam bending equations? Do they matter?

I was just wondering whether or not the standard beam bending equations worked for all units. E.g. imperial and metric etc. From what I'm guessing it shouldn't really, since once we plug everything in ...
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3answers
49 views

BMD of the beam joined at intersection

4 beams are supported by the column at one side, another side is jointed together at the intersection. I have assigned UDL of 20 kN/m on all the beams. 2 beams are longer (3m), 2 beams are shorter (2m)...
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2answers
246 views

formula for M(x) - Shear Force and Bending Moment Diagrams

I've watched the video "Understanding Shear Force and Bending Moment Diagrams" from "The efficient engineer" and i got a doubt in this exercise For $4<x<7$ I arrive to $V=-6x+...
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1answer
32 views

Elastic thin hard material with dog nails scratch resistant

Im looking for a an elastic thin material for hinge and running surface for a dog to glue on wood (I would just use wood but i'm afraid it will splinter) It should be able to bend 45 deg with ease, ...
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1answer
48 views

How does Nonlinear Viscous Damping work? In what way are Viscous Dampers typically nonlinear?

Viscoelastic materials like metal cables/wires/strings/webs/beams can be modeled with a variety of combinations of springs and dampers as described here. For example, one simple common structure to ...
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0answers
29 views

Finding the Shear Center for a Beam with 1 Axis of Symmetry

I am trying to solve this problem of finding the shear center for the given beam and I have found that e = 35.94 mm, however the solution that was shared with me, had the answer of 39.17 mm. My method ...
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2answers
57 views

Can Sheet Metal Be Formed With Bends At Weld Joints?

I understand that a weld, if done properly, is stronger than the base metal. Does this mean that if you have a part that needs to be formed, the bend can be made along the weld? Or is the weld filler ...
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0answers
25 views

What is the relation between the angle of a bend along one axis and the length of a face perpendicular to that bend

Sorry if the title doesn't make sense, I just cant think of how to word it so I'm going to be using images to help. Basically I have a piece of sheet metal that I have bent along one edge to give me a ...
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3answers
261 views

Maximum Shear force in diagram

So here I have a cantilever beam and I have the shear force diagram. When we are talking about the maximum shear force diagram. Should I take 40kN? Or I need to absolute the value and take 60kN. I am ...
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1answer
230 views

Stress Concentration Factor – Why a Specific Range?

I was trying to find the stress concentration factor for a specific situation and I found two different resources for it. Ref: Shigley's mechanical engineering design Ref: Roark's Formulas for ...
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1answer
138 views

Bending stiffness of composite shaft

What is the method to compute the effective bending stiffness "EI" of a composite structure, in this case a shaft (as seen below). The shaft is hollow with outer radius $r_{o}$, inner radius ...
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1answer
1k views

How to plot bending moment diagram from shear force diagram

With conventions that I adopted shown below I drew roughly the shear force and bending moment diagram of a simply supported beam with concentrated load at the middle. Now while drawing I drew both ...
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1answer
108 views

Limits of Euler-Bernoulli Beam Theory for Wide Plate in Flexure?

I'm looking for established limits or rules of thumb for the validity/accuracy of Euler-Bernoulli beam equations for particularly wide "beams". For example, a simply supported rectangular ...