Questions tagged [statics]

Statics is branch of engineering concerned with the analysis of forces and moments on physical systems in static equilibrium.

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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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3answers
185 views

Calculating angle of a 2D vector with positive y-axis

This has been a burning question that I've been thinking about recently. In statics problems like the one I've attached here where we are asked to find the angle that the resulting vector has with the ...
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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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1answer
34 views

How to calculate the torque for motors for a Core XY movment?

I am trying to design a simple setup that follows the core XY movement shown: I have been researching the statics behind this movement in order to calculate the minimum torque for the motor so I ...
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1answer
61 views

Bending of an L-shaped beam

First post so bear with me: I am designing a frame for a press, which needs to be able to withstand 250 N. I am planning to make the frame an L-shaped beam, turned around. With a side view, it will ...
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0answers
45 views

Moment of a force in 3D

The question is not to help me get my task completed. There is the 3D statics problem that I have been attempting to solve for a long time. I have no help, hence I would like to pose you a few ...
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34 views

Statics - other methods for determining reactions of supported beam

Question: Because the question regards the statics, I am going to pose it as well. Are there other methods to solve equilibrium problems other than the method of sections, when dealing with pivots. ...
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1answer
32 views

Stewart platform 6DOF parrallel manipulator static force diagram

I am trying to develop a statics free body diagram of a stewart platform 6dof parallel manipulator motion table. I have the base points (B1,B2,B3,B4,B5,B6) and the top platform points (P1,P2,P3,P4,P5,...
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2answers
66 views

Beam/column sizing

If a load P is applied as shown to a fixed column-beam, pinned at the bottom, should the beam or column (or both) sizes be increased to resist the load?
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1answer
53 views

Question on the determinacy of frame structures

I have been working on a program to solve frame problems, and I have used the following formula for determining whether a frame is statically determinate: $$RD=3m + r-3j-s,$$ where: $m$ is the number ...
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1answer
46 views

Torque acting on a rotating wedge due to a linear force parallel to the axis of rotation

Let's say I have a wedge which can only be rotated about a fixed axis perpendicular to the ground. There is a cam follower mechanism constrained to vertical movement with a ball roller on the end ...
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2answers
51 views

Torque based bending on shaft

I wanted to see if the force acting at A (30 kN) would create a deflection from OB other than twist. In other words, would a force perpendicular to the axis of rotation cause anything other than ...
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2answers
101 views

Unable to obtain closed system of equations using method of joints

I am currently working on some code to solve 2-dimensional truss and frame problems, and I have come into an issue with one of the problems. I need to come up with a system of linear equations that I ...
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1answer
89 views

Analysis Of Braced Frame By Hand Calculation

Suppose we have a rigid jointed, statically indeterminate frame with bracing as shown below: Note: there would also be a distributed lateral load along at least one side of the structure and all ...
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2answers
79 views

What is the significance of hinge in the internal structure of the beam?

I had come across a question on shear force and bending moment diagram where a cantilever beam with a roller support at point C is given and the portion beyond point C in overhang. Does this hinge act ...
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4answers
80 views

Calculate mass needed to balance a UDL lever

I have a lever which is 2m long. The fulcrum is 0.46m from the left hand side of the lever. The lever is has an evenly distributed load with a mass of 10kg. How do I work out the mass needed on the ...
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1answer
51 views

How do I solve this truss to get T4 and T5 force I got T3

It seems to me there is too many unknowns to solve further
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1answer
47 views

How would you go about calculating the force required for an actuator to lift a bridge?

I have been trying to come up with the optimal way to calculate the force required for an actuator to be able to lift a bridge 90 degrees. (A drawbridge) The actuator is placed as follows: (The bridge ...
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1answer
40 views

Degree of Freedoms in a Node of a 3D Frame/Beam Element

I recently took a quiz for my Matrix Methods of Structural Analysis Class, in which I encountered the following MCQ. My answer of '6' was justified, in my opinion, by the size of the stiffness matrix ...
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0answers
29 views

Determinating Reactions for the following frame

According to the frame below, the goal is to determine the reactions of this frame in order to draw after the diagrams N, T and M. The frame is asymmetric by reference at point C. All reactions ...
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3answers
117 views

I can't even see how can i solve this truss question

I can't even see how can I solve this truss question I'm an engineering student, our professor assigned us this truss problem. I have found an answer saying that it is a zero member. I have tried ...
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2answers
58 views

A statics problem containing a distributed triangular load and a linear load

I have came across this problem and I couldn't figure it out I have used the following equation $$\begin{align} y &= 6 - \dfrac{2}{3}x \\ V &= 26 - \dfrac{2}{3}x^2 \\ M_x &= 26x-\dfrac{...
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1answer
30 views

Maximum bending stress and neutral axis

I need to calculate the maximum bending stress So let $r$ equal the radius $$\frac{1}{r} = \frac{M}{EI}$$ $$\sigma_{max} = \frac{Mc}{I}$$ $$\Rightarrow \sigma_{max} = E\frac{c}{p}$$ But how do I ...
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2answers
87 views

Moment equation from dynamics differs with equations from physics & statics. Where did I go wrong?

In my dynamics class, we're being asked to solve the following problem: My Attempt: Since I'm given the initial velocity, final velocity, and distance, I solved for the acceleration of the plane ...
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2answers
56 views

Boundary conditions for this beam deflection problem

consider the diagram above. I know that deflection is described by the equation $$EI\frac{d^4y}{dx^4}=p(x)$$ where $L$ is the length of the beam, $E$ is the Young's module, $I$ is the moment of ...
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1answer
33 views

Method of joints not working on simple truss, supposed to be stable and determinant

In the process of editing the question to put better pictures of my dimensions in, I realized that how I calculated my angles was incorrect, and that is why my answers were yielding inconsistent ...
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1answer
71 views

What does Leonardo da Vinci mean in his statement on arches?

I was recently reading some of Leonardo da Vinci's notes on architecture. One passage on arches states: An Experiment to show that a weight placed on an arch does not discharge itself entirely on ...
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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
38 views

Strengtheing a weak bed frame

I bought a 200x90 sq.cm. bed and assembled it. The bed frame is assembled out of hollow iron rods. After using for a few days I started having back pain. So I checked the bed and found that some of ...
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2answers
75 views

Derivation of the stiffness of a uniformly loaded cantilever beam

The stiffness of a uniformly loaded cantilever beam is given as follows: I am trying to derive the stiffness, but I am facing a problem. I would be glad, if someone could help me out. What I have ...
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1answer
25 views

What to do when the forces on a truss is not on the joints

How would i resolve the forces so they are acting on the bottom joints.
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1answer
34 views

How do you replace forces and place them in another location?

Everything i've tried so far is probably wrong. I tried using 40 as the traverse angle and 30 as the azmuth angle to find the cosine of the euler angles, and then multiplied all three by the force's ...
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1answer
94 views

Forces on pruning shears

I am trying to find the forces in hinches $B$, $C$ and $D$. The exact solution is not important for me. I introduced the following internal forces to solve the problem: $A_y$ in $A$, $B_x$ and $B_y$ ...
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1answer
214 views

Calculate max deceleration without front wheel slipping (bicycle)

I am trying to calculate the maximum braking force/deceleration for a bicycle. Note: the question assumes only the front brake is used Free body diagram: For dry tarmac where I know there is enough ...
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2answers
68 views

Statical equilibrium in 2D

Consider the following problem from Hibbeler's Engineering Mechanics, Statics. (13th edition) and the associated free body diagram and equilibrium equations The problem is solved by equating $N_B$ ...
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1answer
47 views

load distribution

Assume there is a rectangular beam of length L resting on a rigid horizontal surface. The beam is of a real homogeneous material, say aluminum. Assume the surface is infinitely rigid. I apply a ...
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3answers
357 views

Buckling vs. Yielding Failure of Columns

As I have been working through examples of construction projects, I've noticed that in nearly every case of a structural column (sample size considers only homogeneous material columns, no composite ...
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1answer
68 views

Simple Free Body Diagram

Exercise The building is the following: The exercise is to basicly calculate everything (forces, reactions, ...) and draw several free body diagrams, given $a,h,\vec{G},(\vec{g})$. $2$ is a frame, $...
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1answer
50 views

Truss analysis of internal forces in members

I am trying to calculate the internal forces and their nature in this truss, however, I cannot seem to do so as both the method of joint and the method of section do not work. I think this is because ...
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3answers
85 views

Deflected Beam Shape as a Function of z

I'm a bit confused with the wording of the question. What does it mean by expressing the bending moment and the deflected shape of BC as a function of z? Thank you]1
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20 views

Circling Morh's Circle (question on tensile stresses)

If I have a mechanical part subjected to a unkown torisional force with the specification that tensile stress should not exceed 150 MPA, how would I form the Morh's circle. I know that I have (150 ...
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0answers
31 views

Calculate the second moment of area around y-axis

In an exercise on my engineering class, I have to calculate the moment of area around y-axis (the horizontal one). There is a very small (negligible) gap at the middle of the semi-circular arc, and ...
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0answers
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Solidworks static simulation having issues

I've got everything set. Material is aluminum alloy 6061. I've set the component contacts to no penetration. I have a contact set where both blocks meet and keep getting the same error. The bottom ...
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4answers
98 views

Why are parts of a cylinder closer to centre elongated less during torsion?

Say we have a fixed cylinder with a radius of $R$. Looking at any cross-section, the shear stress at a radius ($r$) is given by $\tau = G \gamma $. I understand that the particles at the outer radius ...
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2answers
57 views

Determining Support Reactions

I have a statics problem that I am running into some difficulties with. What is being asked here is to determine the support reaction at the points A and C. This would normally be no problem, but when ...
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1answer
76 views

Statics Two Force Member Problem

I was given a challenge question from my teacher that I need some assistance in solving. The problem is to merely identify the two-force members. I understand the ideas of how to determine a two-force ...
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222 views

Deflection Of Beam In Structural Rigid Jointed Frame

This is a recommended follow on to one of my previous questions. It was stated that I could find the deflections of a beam by idealising it as a simply supported beam and then calculating accordingly. ...
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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
66 views

Analysis Of Planar Frame Using Hardy Cross Method (Moment Distribution) With Sway

The image shown below is a sketch of the structure/frame that I am attempting to analyse using the Hardy Cross (Moment Distribution) Method. I need to find the bending moments, axial forces and shear ...
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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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