Questions tagged [moments]

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93 views

Statically determinate structure by adding moment

I'm considering the problem below. It's a setup with a roller joint and a pinned joint with a hinge between the two rigid links. Since there are now 3 unknowns for 3 equations and a zero moment at the ...
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0answers
28 views

Optimization: Most efficient way for multiple people to move boxes

We are moving house in a few weeks and have a couple of people helping moving the boxes. My previous experience from moving is of queues building up in small hallways and people getting tired from ...
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42 views

External moment over an hinge

I want to find the moments around points A and B in the following figure. Suppose the structure is fixed at the point where $F_{ax}$ and $F_{ay}$ are located. I consider A and B to be hinges so that ...
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2answers
45 views

How can I find deflection in a member that doesn't have a constant area moment of inertia?

I'm trying to calculate the maximum deflection in a simply supported member with a uniformly distributed load. The trouble is this member does not have a constant area moment of inertia. I've drawn a ...
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2answers
104 views

Maximum induced bending stress within the beam

The Maximum induced bending stress within the beam. Given that: $$\frac{My}{I}$$ The beam depth is 300mm, the width is 150mm. The beam is an I section beam with a 5mm wall thickness. My ...
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2answers
29 views

How to determine the new position of a support if the beam is shortened (moments question)?

I am having trouble with this moments question: A force F balances a 6m long, 100kg uniform beam at A. The beam will be shortened in length by 2.5m at B. Determine the new position of support A that ...
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0answers
29 views

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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1answer
95 views

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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2answers
61 views

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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1answer
36 views

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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1answer
382 views

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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1answer
43 views

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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2answers
55 views

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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3answers
78 views

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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0answers
94 views

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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2answers
181 views

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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1answer
61 views

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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1answer
44 views

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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2answers
1k views

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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2answers
1k views

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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1answer
772 views

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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0answers
31 views

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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1answer
64 views

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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1answer
99 views

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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3answers
2k views

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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0answers
18 views

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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1answer
129 views

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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3answers
828 views

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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2answers
4k views

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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0answers
42 views

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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3answers
2k views

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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3answers
755 views

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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1answer
83 views

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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1answer
2k views

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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4answers
233 views

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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2answers
186 views

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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1answer
2k views

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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1answer
354 views

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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1answer
597 views

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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2answers
1k views

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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2answers
84 views

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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2answers
494 views

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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2answers
269 views

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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2answers
2k views

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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1answer
174 views

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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1answer
287 views

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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2answers
4k views

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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1answer
2k views

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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2answers
534 views

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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1answer
83 views

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 $$\tau_{max} = \dfrac{VQ}{IT}$$...