Questions tagged [bending]

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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 ...
Rameez Ul Haq's user avatar
3 votes
3 answers
17k 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 ...
TwoWaySpeedOfLight's user avatar
3 votes
3 answers
215 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 ...
Nick Fingerle's user avatar
3 votes
0 answers
1k 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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2 votes
4 answers
2k 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 ...
Rameez Ul Haq's user avatar
2 votes
1 answer
185 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 ...
willpower2727's user avatar
2 votes
3 answers
1k 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 ...
Antonymous's user avatar
2 votes
1 answer
65 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 ...
branexius's user avatar
2 votes
0 answers
119 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 ...
DemonLordKing's user avatar
2 votes
0 answers
42 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 ...
M.Powell's user avatar
1 vote
3 answers
1k 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, ...
Stamatis's user avatar
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2 answers
690 views

Bending analysis of beams with varying cross section

All problems I solved in MoM class regarding beam bending involved a beam with continuous cross section. But is the process the same for a beam with varying cross section? For 'same process' I mean ...
VXR.'s user avatar
  • 15
1 vote
1 answer
1k 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 ...
FEA42's user avatar
  • 245
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3 answers
165 views

Does Bending Stress Affect Natural Frequency?

I have been researching about the factors that affect natural frequencies, particularly about the effects of stresses. Most of what I have found only discusses compressive and tensile stresses though, ...
Xyzar's user avatar
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1 vote
2 answers
119 views

How to find the location on the 2-support beam where the deflection will be biggest?

Consider the uniform indeterminate beam as shown above. This beam is to be subjected to a single, 80N point load (acting down ) somewhere along its length. What is the procedure (i.e steps and logic) ...
Noideas's user avatar
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1 vote
1 answer
140 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 ...
mike's user avatar
  • 161
1 vote
1 answer
436 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 ...
Omar's user avatar
  • 19
1 vote
1 answer
589 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 ...
Erik's user avatar
  • 163
1 vote
2 answers
115 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 ...
bigboi's user avatar
  • 15
1 vote
1 answer
30 views

should the hachures in moment and shear diagram be vertical?

when we plot the shear or moment diagram we add hachures to the area created with these diagrams , in most cases we see vertical hachures, is it represent the internal forces? or its just used to ...
Samir Benabdelaziz's user avatar
1 vote
0 answers
286 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 ...
utk2366's user avatar
  • 61
1 vote
3 answers
133 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 (...
ddofborg's user avatar
  • 111
1 vote
1 answer
153 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 ...
mike's user avatar
  • 161
1 vote
2 answers
2k 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 ...
Kjell Stoelinga's user avatar
0 votes
2 answers
88 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 ...
Rameez Ul Haq's user avatar
0 votes
3 answers
126 views

What is the theory behing why is it harder to bend a block of wood on its thinner side when load is put onto it

What is the theory behing why is it harder to bend a block of wood on its thinner side when load is put onto it as opposed to when the wood is on its thicker side. For example, if you had a 1x2x20cm ...
Ethan's user avatar
  • 1
0 votes
3 answers
244 views

Relation between welding bead and outer diameter of a pipe?

How can we find a relation between welding bead and outer diameter of a pipe? Welding bead is inside of the pipe and I am using M.S. pipe. Dimensions are listed below: Pipe OD=25.4mm Thickness=2mm ...
Ibrahim Omer's user avatar
0 votes
3 answers
192 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)...
kelvinmacks's user avatar
0 votes
2 answers
193 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 ...
pixelpoems.de's user avatar
0 votes
1 answer
221 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 ...
Rameez Ul Haq's user avatar
0 votes
3 answers
598 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 ...
Rajakr's user avatar
  • 338
0 votes
1 answer
79 views

Justification of static equilibrium for a cut structure/frame

Axial deformations are ignored. This structure is under the specified force: Is the internal shear force in column BC equal to that of column DE? If we cut the structure at middle of BC and DE ...
Megidd's user avatar
  • 151
0 votes
4 answers
887 views

Any way to approximate effect of two point loads with just one?

Imagine a 3D problem where the goal is to calculate the max. cantilever beam deflection. There are 4 equal point loads A, B,C,D separated equally from the beam's major axis. Is there a way to ...
Noideas's user avatar
  • 13
0 votes
1 answer
36 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, ...
Simon's user avatar
  • 115
0 votes
1 answer
34 views

In the context of Beam Deflections If the moment curve has a discontinuity, how do we account for it in the slope and deflection curve?

In reality if we load a beam within the elastic range of the material, it forms a curve that can be represented by a mathematical equation. But if the moment curve has a discontinuity it must mean ...
raconteur's user avatar
0 votes
1 answer
111 views

Max length of 12mm OD steel rod for CNC axis [closed]

Standard rod used for CNC guides, outer diameter: 12mm. Material: Ck55 steel, hardened to 60 HRC (according to store) What would be the maximum length I can have before the rod starts to bend? The ...
Alex's user avatar
  • 103
0 votes
2 answers
194 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 ...
ImDumb's user avatar
  • 1
0 votes
2 answers
737 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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0 answers
8 views

Multiple varying cross section beam with distributed load - FBD Method?

Based on the 2 different threads read below : Multiple Varying cross section beam deflection + Multiple varying cross section beam with uniform loads I'm trying to set up a calculation sheet (Excel is ...
RGDOC's user avatar
  • 1
0 votes
1 answer
32 views

How to CAD: smooth width transition in sheet-metal bends

I am working with FreeCAD 0.20 and Sheet Metal work bench 0.2.63, but universal CAD tips are also welcomed. As shown in the image, I would like to bend sheet metal with smoothly chancing width along ...
Imsa's user avatar
  • 11
0 votes
2 answers
38 views

Are there structural (or code) reasons for choosing longer or shorter beam spans (besides bending moments, and ignoring cosmetics)?

When selecting the length of beams for a bridge, the better approach is to choose multiple full-length beams. Unless there is a compelling reason, one would not choose multiple shorter spans. An ...
Sam7919's user avatar
  • 411
0 votes
2 answers
42 views

Is bending stress over round thin-walled tube cross section linear?

It is thin walled because roughly d=200mm and t=6mm of a carbon fiber wrapped tube. The question is, if the bending stress $\sigma$ over the cross-section (in y-direction) is linear or not. It is ...
Xenox's user avatar
  • 103
0 votes
1 answer
308 views

Calculating Pressure Loss (K Value) of Pipe Bends at varying Angles

I am analyzing the total pressure loss of a run of pipe that has several pipe bends at varying angles (30, 60, 45, 90, etc. degrees). Reading through CRANE: Flow of Fluids Through Valves, Fittings, ...
nwin's user avatar
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0 votes
0 answers
17 views

Spring making machines

There's lots of videos of high-speed spring making machines floating around e.g. YouTube, typically taking wire stock of up to a millimeter or so in diameter and producing items which are clearly ...
Mark Morgan Lloyd's user avatar
0 votes
1 answer
310 views

Second moment of area (moment of inertia) for annulus segment

I am a Mechanical Engineering student and I'm working on some calculations for an assignment at a company. As a part of this assignment I need to calculate the moment of inertia (Ixx) of a segment of ...
Lars's user avatar
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0 votes
0 answers
89 views

Traction boundary condition : Cantilever beam

Since I don't have that much experience with solid mechanics and stress theory, I am a little confused about my understanding. My problem is a basic solid mechanics problem of cantilever beam bending. ...
Krishna Kumar Narayanan's user avatar
0 votes
2 answers
272 views

Correct beam theory for calculating radial force in bearing due to a bending moment in beam?

I am designing a cylindrical shaft that has a round disc at its top. I am hoping to seat this shaft in 2 radial bearings and couple to a motor. The image below gives an overview of the loading diagram....
chrisj00's user avatar
0 votes
0 answers
40 views

Truss beam like structure strength per height

The second beam is 2x the height of the first one. Is 1 stronger then 2 to bending force (arrow shows direction, supported on the sides)? If it does, I'm trying to figure out why, because they both ...
Simon's user avatar
  • 115
0 votes
1 answer
99 views

Bending moment capacity of T-cross-section (reinforced concrete)

I have a question regarding a simplification/derivation of the (ULS) bending moment capacity of a given T-cross-section, with compression-zone on the flanged side. The problem is that the rebar-strain ...
Yes's user avatar
  • 13
0 votes
1 answer
276 views

What is the equivalent rotational/angular stiffness of a beam

I'm trying to model a larger system and working through a conceptual issue. I'm familiar with the concept of expressing the stiffness of a beam as an equivalent spring stiffness like in the image ...
BeBlase's user avatar