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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Machine Analysis Problem: Finding the vertical force at joint K

Help me in determining the right solution in this problem. I already have an initial solution here but when I compute, my answer does not match to the answer key. I would like to know where did I ...
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1answer
24 views

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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2answers
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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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35 views

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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1answer
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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 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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3answers
629 views

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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1answer
25 views

Equations of Static Equilibrium

I would like to clarify if the equations that I got from this figure are correct. $$-T_{CD}sin(30) + T_{DE}cos(0) = F_x = 0$$ $$T_{CD}cos(30) - \frac{W}{2} = F_y = 0$$ and $$-T_{ED}cos(0) + T_{EG}sin(...
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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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2answers
57 views

Resultant of coplanar forces

I have a question that goes thus. At what angle $\theta$ must the $500N$ force be applied in order that the resultant $R = 1000N$. For this condition what will.ne the angle $\beta$ between $R$ and ...
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2answers
61 views

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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3answers
50 views

Resolution for forces

I'm stuck trying to find the resultant of the force system. Here it is said to find the angle θ the resultant manes with the horizontal. But θ here is narked relative to F₂. How do I find the ...
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Pump system with dynamic head

Given: A pump system is defined with dynamic head of 46 feet. The height between the static pressure gauge and the surface of the water is 9 feet. Assumptions: Friction losses between the tank and ...
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2answers
66 views

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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87 views

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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1answer
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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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2answers
117 views

Finding the reaction force at the hinge

The question given is A uniform rod, of mass $m$ and length $2a$ smoothly hinged to a vertical wall is connected to a point on the wall above the hinge by a light inelastic string. Find the magnitude ...
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2answers
54 views

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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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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1answer
45 views

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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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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1answer
35 views

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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3answers
113 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
328 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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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
72 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
94 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
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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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0answers
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
75 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
100 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
52 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
76 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
127 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
305 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
969 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
126 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
54 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
123 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
68 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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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
120 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
77 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
49 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
99 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
125 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
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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
93 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
86 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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