# 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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### Which material will be the most flexible? [closed]

You've been hired by a business to develop a framework for them. The device allows you to use a very elastic material, but you have two options: Material A, which has Young's modulus of 2000 N/mm2, ...
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### Diagrams of forces and moments of a statically determinate structure

I'm having difficulties with calculating the distribution of forces and moments in a statically determinate structure shown below. I'm especially confused about the arc part. Will there be only ...
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### Analysis of Machine Frames With Cut Outs

I have a structure that is used to support two shafts which are carrying relatively high loads. It is composed of two columns and a "shaft supporting block" in the centre (almost acting as a beam). ...
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### Identifying zero force members

My instructor said that if a joint has reaction support attached to it, then it is not a zero force member. However I saw in this figure that joints E and A are attached to a pin and a roller, ...
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### Can I get some help solving this statics reactions problem?

I'm working on this reactions problem. I know M(ay) is equal to 0, but I haven't been able to figure out how to solve for the tension in cable BC, forces A(x) and A(y), or moments A(x) and A(z). I've ...
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### Constructing a Free Body Diagram (Stacked Blocks)

How can I construct the free body diagram of this figure? I am in a topic of equilibrium of particles so the total force will be equal to zero. The two springs are indicated to give equal forces. Am I ...
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### How to Find the Magnitude of Force and Direction

Give me some tips on how I can find the magnitude of $F_3$. The hint maybe is the angle of inclination of w axis such that the force components are equal along that axis, my instructor once told me. ...
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### How to simplify a truss bridge diagram?

Hello I have this truss structure question. I understand that we need to determine the zero-force members first so that we can simplify the diagram. But I am not sure which one that I need to ...
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### Equivalent Force: Hydraulic rams in H frame machine press

A 100ton H frame machine press can use 1x100 ton ram to exert this amount of force. Can 3x33 ton rams do the same job if they are applied to same area as the 100ton ram? Also in relation to a H ...
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### Given 3 force measurements, what are estimated forces at other locations?

Given three unequal force measurements spaced equally 120 degrees apart on a circular plate at F_R, F_C, F_L, I need to calculate what the estimated force measurements would be if taken at positions ...
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### How should I position two shelf supports for the best distribution of load?

I'd like to mount a shelf on the wall. I have two shelf supports to do so, like this: Relative to the shelf, where do I place the (blue) supports to achieve the best distribution of load?
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### Draw the FBD of the entire frame, assuming that friction and the weights of the members are negligible. How many unknowns appear on this FBD?

Draw the FBD of the entire frame, assuming that friction and the weights of the members are negligible. How many unknowns appear on this FBD? This is what I've tried so far. I have four unknowns. ...
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### 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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### Why does the upper wing skin fail in buckling and lower wing skin does not?

I am aware of the fact that the buckling is mainly caused in the regions of the specimen which are in compression. But the wing skin doesn't take any axial loads and is used to resist shear, atleast ...
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### Why does a gear have extra holes?

In a gear you normally have a center hole for the shaft to be put into. Why do some gears have holes surrounding that center hole? Is it for weight reasons? Does it add stability? Is it so you can add ...
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### Centroid and Center of Gravity

I was studying this example but I didn't understand how the author arrived at (A₁ - A₂)G₁G Please I need enlightenment
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### Resultant of forces

From the illustration provided on the question, we have the angle between F₁ and F₂ to be 20 deg + 30 deg. But using the formula R = F₁² +F₂² -2F₁F₂ Cosθ to get the Resultant, 130deg was used instead ...
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### Forces acting on a weightless member

A weightless bar is pinned at the top of a triangle with N weight. Both rests at the horizontal plane. There is a horizontal force F acting on the weightless bar, and a given coefficient of friction μ ...
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### Calculate bearing forces

can someone tell me how to calculate the bearing forces of the two bearings? I can't get any further because I don't have the angle for the second bearing. I don't have an idea anymore. F = 20KN q0=...
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### What angle - for a strut - provides the greatest vertical strength/support for a cantilever?

I want to affix a cantilever to wall. I will support the other end of the cantilever with a strut made of wood, that attaches to some point on the wall below the cantilever, as shown in this sketch (...
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### Least force required

Relying on my past knowledge on how to attack the problem, I should use the equation Moment of B about AC = $r_{AB} \times B • n^ AC$ To find the least force on B. I just don't know what position ...
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### 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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### 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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### Sign of the sum of Virtual work (Direction)

I have trouble understanding Virtual Work (in statics) as I understand what's happening but I do not understand the signs or directions. This is what I know. If the force acts in the opposite ...
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### Height limits of brick and mortar tower?

What are the factors limiting the height of a "tower" made of typical fired brick and mortar? By "tower", I mean a structure whos point is to be tall, and can support a human standing on or near its ...
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### 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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### Program name of this buckling modeling

My instructor sent this solving with program that I don’t know the name , does anyone know the name of the program ?
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### Extendable apparatus

Is there a kind of "handbook" for general engineering ideas and possible applications? I vaguely remember a machinist friend mentioning some standard book to glean ideas from... I'm in need of an ...
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### Vector expression of bearing pressure

I have been trying to solve the problem below involving a concrete anchor block subject to two equal horizontal forces. Normally I would just apply the force as a moment acting about the centroid of ...
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### 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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### 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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### 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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### 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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### 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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### 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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### 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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### 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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### 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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### 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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### 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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### 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 ...