Questions tagged [moments]
The moments tag has no usage guidance.
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Finding transformation of forces and moments
I have two sets of forces and moments, measured by two 6 DOF force/torque sensors at position A and B on a robot arm (B at end effector). My goal is to use this measurements to relate the forces/...
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Calculate deflection of a beam with an arbitrary shape
I have a beam with rectangular cross section, but rather an strange shape in the length wise direction as seen below:
So I have taken out the symmetry part of it:
And it actually has some nice ...
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Resultant force coordinate for parallel 3d forces acting on a slab
Apologies if I have done something wrong, first time posting on a stack exchange website.
Four forces act perpendicular to the surface of a circular slab (assume mass of slab is 0 and middle of slab ...
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Are there different moments of inertia for shapes and bodies?
I'm confused by this. There is a moment of inertia for a shape, let's say circle:
But if you make it 3D, you have a new moment of inertia:
Is there any connection between these two?
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Problem while solving for the moment of a cantilever beam
As in the first image,
Moment at any point between C and B should be 0.
But when I try to solve it by substituting equal and opposite forces at end C so that anti-clockwise moment of $F(l-a)$ and ...
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Why is the bending moment equation for a uniformly distributed load (w) across a length x on a structure given by w(x)(x/2)?
So for any structure, simply supported beam, three hinge frame, cantilever etc. where there is a uniformly distributed load. For example, for a simply supported beam with uniform load of w along the ...
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2nd Moment of Area of a ring
This is my first question here. I am having trouble finding the 2nd moment of area of a ring with a thickness 't' and radius 'r'. I seem to be a factor of 2 out.
What I do is I consider an area like ...
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Is there a 6th equilibrium equation for a static beam?
For a scholarship exam I'm taking, it takes simple enough ideas and then messes with them in crazy ways. In this question four of the equilibrium equations I'd use to solve this are linearly dependent....
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Finding Tension in cable in 3D Equilibrium
In a typical 3D Equilibrium problem.
Assume you have two cables points supporting a mass. The two cables are K distance above origin and form a quadratic triangle with the mass which is a the same ...
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Resolving moments and forces
The calculations for a design I am doing are making me go round in circles. I have simulated the design but I cannot seem to resolve this mathematically and it is really bugging me!
Below is an ...
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Is there a moment at a point between two connected sliders, when one is subjected to a force? (schematic shown)
Background: I'm designing a machine that uses an actuator to push an object. The connecting component may not take certain bending forces, therefore I'm trying to evaluate the system with a free body ...
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Sign convention-moment
I am having a hard time taking care of signs. Whether we’ve made the cut at right or at left. Whether should we make the rotation according to axis x, y or z.
In this case, they assumed that P was ...
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The internal normal force, shear force and moment
How do I determine the internal normal force, shear force and moment at the point C?
$V_c = 0$, $N_c = 0$ and $M_c=3.75 kN/m$
I have already done this:
Where is the problem?
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Shear force and bending moment for continuous span
It's given that L1 = 5m, L2 and L3= 7.5m, w = 8.9kN/m , I am asked to find the bending moment using these coefficient.. Prior to this , i need to have the value of shear force first.Shear force = ...
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A way to calculate the magnitude of the moment
In my engineering textbook, I didnt understand the example given to explain the magnitude of the moment. It asks to calculate the magnitude of the moment about the base point O of the 600-N force in ...
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Most efficient way for finding the rotation angles after moment distribution (Cross method)?
First of all, I have taken a look at the Grinter's method, which is similar to Cross, but balancing angles instead of moments. My question assumes that we are using the Cross method, and not the ...
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How to solve for moment with uniform distributed load
How do we get the moment when there's a distributed load?
For example, the picture below has 9[(60)(18)]. I get that 60 is the distributed load and 18 is the total length of the load, my question is ...
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Shear force and bending diagram un-uniformly distributed load
I already got great help on this topic, but I'd like to make sure that I get it.
For example, take a beam of length 6 meters, left side fixed support and right side rolled support. There is a load of ...
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Transfering moment through internal hinge
My professor says, the internal hinge can not transfer moment:
But can we calculate $\Sigma M_A=0$ for whole beam ( without cutting it or something) this way?:
$\Sigma M_A=0 ===\Rightarrow M_A+(D_y ...
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Shift of joint in kinematically indeterminate system
Given ist the following system:
$$EI=100000\frac{\text{kN}}{\text{m}^2}$$
$$EA\to \infty$$
I'm suppossed to find the horizontal and vertical shift of joint g. My first approach was to use the ...
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Skewing of joints using virtual work
Given ist the following framework:
$$E=210 \frac{\text{kN}}{\text{mm}^2}$$
$$ EA \to \infty $$
$$ I_1 = 80000\text{cm}^4 $$
$$ \frac{I_1}{I_2} = \frac{3}{4} $$
$$ I_3=I_1 $$
Using the principle of ...
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Calculating moment of inertia for a hollow discontinuous circle?
This is a pretty simple problem, but I'm just not sure how to go about it. I want to find the moment of inertia of a discontinuous hollow circle. But since the shape is so irregular, I'm not sure how ...
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Transfer of moments in beams with internal hinges
We have a beam with 1 internal hinge just like the picture. We know the internal hinge can not transfer moments between AB and BD. We know the 30 kN force makes some moments on BD & AB. If B (...
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Pin, Slot, and Spring Equilibrium
I am checking to see if this is done correctly, the slot is a little confusing for me.
B is a pin in a slot, solve for the spring constant (k) so the 50 lb force applied does not move pin B
Solving ...
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is bending moment on roller supports at beams zero?
isn't the bending moment supposed to be zero on roller supports at beams?
then why isn't it zero here in this picture at x=2?
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Second Moment of Area for slanted triangle?
Consider this triangle with its centroid at $C$:
Then this is how I believe we can calculate the Second Moment of Area along the $x_{C}$ and $y_{C}$ axis:
$$\begin{align}
I_{xc} &= \frac{bh^3}{...
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Plastic Hinge by Skyciv
Is it possible to determine plastic hinge location of a frame in SkyCiv? Is it also possible determine moment -curvature relationship curve in SkyCiv? If yes, how?
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Sheet Metal Bending: stuck on calculating the minimum radius required
I'm used to calculate the minimum radius required for bending operations on both aluminum and steel sheets, given the following parameters: https://imgur.com/a/7akHC
Problem statement:
For a sheet ...
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Moment and Torque at a Single Point
As far as I know, moments/torques occur when forces applied are not in line. However, I often see moments/torques being applied at a single point in free body diagrams.
How can moment/torque be ...
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Finding the force in a cable of a rigid system
QUESTION (see attached image file):
I got stuck when trying to find tension for part A; see my working below.
and help me solve.
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Determine the reactions at A and C, knowing that α = 30º [closed]
QUESTION(see image attached):
Really need help here can someone help me show how we get the solution as shown in the image file attached above.
okay since I was asked by one of the users ...
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Is radius of gyration same for both types of moment of inertia?
We know that moment of inertia is commonly known as second moment of area. Which is $\int_{}{} y^2 dA$.
However there another moment of inertia called as mass moment of inertia given by $\int_{}{} r^...
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polar moment of inertia for compound shape
I have a shape that I'd like to calculate the polar moment of inertia for:
the diameter is 600mm; the hexagon in the middle sides are 70mm each; the holes around the hexagon are 130mm from the center ...
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Maximum torsion shear stress in cylinder
I am trying to figure out am I doing this calculation correctly.
To get the maximum shear stress for a solid cylindrical pipe I need two formulas:
Moment of inertia = pi/2*r^4
Not sure what this ...
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moment of inertia forces and torque
I did some calculations to find out the moment of inertia and physical qualities of some metal.
I am using typical medium carbon steel.
I'll use a density of 7.8 g/m^3 until I get better numbers.
...
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Moment of force or torque [closed]
Is the moment of force taken in a clockwise and anticlockwise fashion? Why then do we curl our fingers and check it?Explain the equivalence or similarity between the two.
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Moments of inertia, rods mechanism
I need some assistance understanding moments of inertia. I am doing some review for an upcoming exam, however I am slightly stumped by this question. I have already tried googling "moments of inertia" ...
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Fluid mechanics- Force required to keep the gate closed
I have to answer the following question which is (image shown above)
"what is the force to keep the rectangular gate closed? in N/M"
This is all the information I have to solve the question. I ...
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Structural mechanics - computing bending moment
I am having difficulties trying to work out one problem. I've attached a picture explaining the situation - the task is to determine internal forces in C but the bending moment M(x) doesn't seem to ...
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What are the principles (if there are any) behind the conservation of bending moment in frame analysis?
I notice from this question that the moments at joint connection are somehow "conserved", or being "transferred" from one element to the others. In other words, there are no "missing moment".
Note ...
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Force required to rotate an object on a plane - moment of inertia?
I have a rectangular shape with uniform mass, approx 6m x 1m. It rotates around an axis in the centre of its width but 1m from one end. The axis has some friction but this is not known.
What I need ...
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Calculating the moments due to reaction forces on a bent beam
I am trying to solve the following problem:
EXAMPLE 2.10
Determine the reactions on the beam in Fig. 2–30a. Assume $B$
is a pin and the support at $B$ is a roller (smooth surface).
...
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Flexural modulus for a beam fixed at one end
For a beam supported at both ends with a mass in the middle, the flexural modulus is given by:
$$E_b = \frac{F L^3}{48I d}$$
with I as the area moment
$$I = \frac{1}{12}wh^3$$
How does the ...
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Shear Stress / Flexure Stress Formulas / Tables
Is there something similar to the Section Modulus in the Flexure Formula
$$\rho_{max} = \dfrac{M_{max}}{S}$$
where $S = \dfrac{I}{c}$ for shear stress formula?
So in
$$\tau_{max} = \dfrac{VQ}{IT}$$...
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Different measured strain in beam experiencing pure bending
I have a beam experiencing a pure bending moment. The setup is similar to this image from these lecture notes (with different values).
Using the flexure formula, we can determine that the stress (and ...
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Buckling of a cantilever with midway support
I'm trying to understand the implications for buckling and column sizing in the drawings below.
A 3000mm 120x60 RHS steel column supports a 350mm horizontal steel beam. The column base and right side ...
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Determine the moment of inertia of a filled circular sector
Does anyone know how to determine the moment of inertia of the filled circular sector shown below?
Apparently I have to use $dA=r\ d\theta\ dr$, $y= r\sin(\theta)$ and end up getting $I_x=\frac{r^4}{...
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