# 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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### The triangle of forces - Lami's rule

Hello there, In this question, I have to draw the shape so that I can solve the problem. I looked at the answer book and did not understand how to draw it. Can someone help me? Note that the answer is ...
1 vote
60 views

### Self Locking Brake Question

I've been staring at this problem for statics for quite a while now and I just don't understand it. The question states: "The brake is to be designed to be self locking, that is, it will not ...
22 views

### Unexpected inconsistency in modelling of load propagation in Icosahedron struts

My intent is to build a program dedicated to analysis of geodesic structures. My proof-of-concept spreadsheet is intended to help me clarify the interactions at each node, so that when I approach the ...
25 views

### Trying to define proof-of-concept for structural analysis of geodesic grid

I would like to create a spreadsheet as a "proof-of-concept" for clarifying the relationships and equations involved in doing the structural analysis of a geodesic dome. I then plan to ...
51 views

### Calculating forces of TV wall mount with long extended arm. Need help with Physics, torque vs force and anchor requirements

I'm planning to install a wall-mounted TV with a very long arm on a plasterboard wall, although conventional wisdom advises against it. The TV mount is 45cm wide with holes for 6 screws. To address my ...
1 vote
54 views

### Is there an equivalent of node voltage analysis in mechanical and civil engineering?

When analyzing the behavior of an electrical circuit, the core of the work often involves performing node voltage analysis. This allows you to determine voltage drops and currents of interest in the ...
1 vote
64 views

### Finite Element Method for Spherical Objects

I am familiar with the procedure of the FEM for simple planar objects like truss and etc. but my question would be whether it would be possible to use this method to calculate the stiffness or ...
21 views

### What are the change in forces with a ribbon under tension is twisted?

Consider pallet strapping. It has width W. When the strap is flat, it has some maximum breaking strength B. Now, let's put one twist in it over X feet. Mentally we have a VERY skinny isoceles ...
9 views

### How to I calculate the load on a webbing triple slide buckle?

I'm trying to figure out if this is a suitable way to create connection loops for a trampoline web. The first pic is a fairly standard black nylon slide. The rough middle bar increases friction. In ...
36 views

### Statics projection/vectors problem

For the life of me I cannot understand part B. What does F(BA) and the 60 degree angle have to do with the projection of 500# on AC? Why can we just assume that the angle at C is 180-(45+60)? Thanks
1 vote
96 views

### What is the moment of inertia of a circular segment?

Hi I read this response but it isn't exactly my situation I have a circle where the axis of rotation is on the c axis like this for a segment equal to the green. Specifically, I have a round steel ...
1 vote
32 views

### Extension of a cantilever beam composed of unbonded layers

The question of the magnitude of the vertical deflection of a cantilever beam composed of unbonded layers has been posted here, but I was wondering if there is an analytical way to solve for the end ...
33 views

### Moment of Inertia Problem

Im currently studying for the FE exam and I came across a problem from a FE practice test that I'm confused on. The specific question is on the parallel axis theorem of a trapezoid and the D value ...
34 views

### Frames and Statics Question

this is an image describing an exam question I have to practice on, and I am so stuck.
26 views

### Load distribution for a load centered over the length of the middle joist in a 3-joist system

I'm not an engineer, but I'm trying to understand the correct analysis for what seems like a pretty simple case. I'd like to know what the effective load on the middle joist is. ...
50 views

### Laying problem in designing axis points in static design?

First of all, there is a simple pattern plan on the halter. Here, we design an axis point passing through the midpoints of the columns and use it in the static calculation program. However, when we do ...
1 vote
117 views

### A question on understanding the nature of static equilibrium

In the statics lesson, we do not think about the effects of forces on objects. In other words, we do not assume that an object can break, bend or twist. In the same situation, we can combine different ...
82 views

### Understanding the nature of Force and Moment FBD diagram

Hello, I am Civil engineer Bilgehan Yılmaz. First of all, I would like to ask a question about basic statics, I modelled my question below. The following forces are applied around a wooden stick with ...
1 vote
148 views

### Are the compressive and tensile stresses in the beams always equal?

If we examine the $example-1$ of cantilever beam 1 above, there will be shear force $Ft$ and moment $M$ that will keep the beam in balance statically. However, when we examine the strength, that is, ...
145 views

### Distributed load on a slope/axle

In statics they teach you about distributed beams, how to calculate the total force, the engagement point, etc. I can't find any information anywhere on distributed loads on unevenly sloped surfaces / ...
94 views

### Moving internal forces for the sake of stress

I am studying mechanics of materials and I'm confused with determining internal forces for the sake of stresses. Consider this diagram: (just for visualization. from Beer Johnston book) when ...
42 views

### Superposition of cylinder stress and normal stress

I need to calculate the principal stresses for the given cylinder with thick walls inside filled with gas shown on this picture: I used the Lamé equations, namely: \sigma_{x} = p\cdot\frac{r_{1}^2}{...
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### How can I reduce static friction in a small rotary encoder?

-- Note: I've flagged this as unlikely to be a quality question. I've refined it and rephrased it as a Mathematics SE focused one instead. Find it here. I am using a rotary encoder as a pivot point ...
25 views

### What grade of steel best suits this application?

Take a long, thin, straight wire with a circular cross section. Say, .5mm in diameter and 200mm in length. Hold the wire horizontally at one end (cantilever). What grade of steel would result in the ...
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### Statics Beam Problem

Can I get some guidance on this beam problem I'm trying to solve. I basically know only one force value as you can see in my FBD. It's clearly statically indeterminate, but is there a way to find the ...
77 views

### Deflection of hanging beam in two parts

Can anyone quickly explain the analytical method for finding the deflection at the base of a beam shaped like this? Note the top beam is a truncated cone and the bottom is a uniform cylinder.
1 vote
89 views

### What material performs best in this situation?

Take a long, thin rod, say .25 mm in diameter and 200 mm in length. Filling these fixed dimensions, what kinds of materials could the rod be made of such that it minimizes how much the rod bends under ...
337 views

### Calculating deflections on an inclined beam

I'm applying a force to a stepped inclined beam (that's what I'm calling it; don't know what the correct technical term would be) in which it's essentially a cantilever with the first section angled ...
33 views

### Torque created at bottom left corner due to torque in centre of 2D box

If I have a 2D box with uniform mass of width $w$ and height $h$. I apply a torque $\tau_O$ to the centre of the box, labeled $O$. The box has a fixed point $A$ at the bottom left around which it may ...
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### Mass and Tension in a Pulley System

I found the value for M2, unsure how to proceed from here. I got a wrong answer for T.
53 views

### Determining bearing pressure between mating convex and concave conical surfaces?

(In the illustration above, the "Collet" piece in the middle is a bushing) I'm designing an axial linkage of sorts, and I'm having trouble finding resources, theorems, or guidelines for ...
25 views

### How to determine the flexibility coefficent of this six member truss using the unit-load method?

I'm studying the Flexibility method described in the book "Matrix analysis of framed structures" by James M. Gere but I'm having a hard time understanding one of the examples. I'm stuck at ...
91 views

### Minimum torque required to turn a large gear

I want to preface this by saying that this isn't homework, it's just a question I've made up myself (so it could just be impossible to solve), and I am a beginner so apologies if I miss something ...
105 views

### Finding the bending moment diagram for an indeterminate continuous beam

In a recent lecture, we had the following example of an indeterminate continuous beam where we must find the redundant support reaction at $A$: This was found by removing the support at $A$, and then ...
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### Statics HW Problem: determining magnitude and direction of resultant

The above shows the question and my work. I am confused on why my original solution does not get me the correct answer If I sum x + y + 35 = 40 + 75 + 35 = 150, I am not getting 180 degrees which ...
38 views

### Available alternatives for ForceEffect? (Quick and simple static analysis)

Any recommendations for apps that have similar functionality to Force Effect (which was discontinued a few years ago)? The ability to do a super-quick static force analysis would be handy. (see https:/...
29 views

### Reduction of system of vectors

This is problem P2.6 from the Fundamentals of Applied Dynamics of R. A. Tenenbaum. P2.6 Consider the system made up of the sliding vectors vi, i = 1, . . . , 4, associated to the indicated lines of ...
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### I have a pipe connected to a 2x4 that holds a weight. How do I find the forces that will cause the 2x4 to bend?

I'm building a lumber rack similar to this, but in my case, the vertical supports (2x4s) will not lie against a wall. They will, however, be fixed at the top and bottom. I'm wondering roughly what ...
56 views

### Attempting to solve for reaction forces in a beam results in a singular matrix

I am attempting to solve for the reaction forces in the following beam, and set the equations up as an Ax=B system. Currently I have four equations for the four unknown reaction forces. Are my ...
119 views

### Finding hoop stress in a half-cylinder

I have a half cylinder which is significantly thick but not very long. In the half cylinder, a force $F_{app}$ is being applied over a certain area as shown in the figure below: I have to find the ...
23 views

### How does bearing reliability factor effect the static safety values of a bearing?

I have a SKF 30202 style bearing and i found that the static safety factor of this bearing is 2.76 for a reliability of 90% how does the static safety factor change if my reliabilty was 99%? How can i ...
1 vote
110 views

### Lifting Analysis of a 3D cuboid

I have a cuboid of weight W and the Center of Gravity at G. It is being lifted using 4 inextensible strings from the 4 corners: $C_1$, $C_2$, $C_3$ and $C_4$. The figure is something like this: The ...
59 views

### Stress concentration

Let's say we are using an aluminium with a yield and ultimate stress for an element like this: In this case we will get some stress concentration around the fillet due to the change of area, however, ...
24 views

### Where does this support reaction come from?

I am looking at part a of the following question, and I can not figure out where this support reaction N is coming from. The solution is as follows. The question and diagram make no mention of N. My ...
1 vote
75 views

### Problem of lifting of a body using 4 strings

I have a solid object that has been lifted to a hieght by 4 strings. I know the lifting point and the 4 corners of the object. Also the mass and the center of the gravity location of the object is ... 1 vote
221 views

### Equilibrium problem with 3 unknown forces | Hanging mass

This problem is related to my previous question on the generalized Lami's theorem. I would like to see how you solve this problem and compare with my solution. My motivation for this problem is that I ...
1 vote
721 views

### how to determine the direction of support reactions in a truss?

Hi, I am not sure how to determine the direction of support reactions at point A and K. I know point A has a pin support, therefore, it can take in horizontal and vertical loads and point K has a ... 1 vote
218 views

### Is there a way of "shortening" a mechanical lever, but keeping its mechanical advantage intact someway?

For what I think I know, the mechanical advantage of a lever comes in exchange for the distance the load travels upwards, independent from the type of lever (I think). So, let's say, in a (class-1) ...