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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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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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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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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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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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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Derivation Of Moment Distribution Method

How is the moment distribution method (Hardy Cross) derived or what is its mathematical basis? How are the distribution factors and stiffnesses derived? Thanks in advance.
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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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25 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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47 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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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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29 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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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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40 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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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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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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93 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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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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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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1answer
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How do I find the vertical reaction forces?

The horizontal Force $A_x$ is easy but how did they get the vertical forces $A_y$ & $B_y$? I tried using similar triangles for the Force and length of the sides, somehow I can't manage to solve it....
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Plane Truss- Missing Member

Hello, so I'm looking for some help with part (a) of the question below. I've never seen an example like it before and I'm not sure where to start. How do I work would which is the missing member for ...
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Need help in deriving components of forces when they depend on lengths and angles. (2 questions)

I am having difficulty with two questions from a book I am studying about statics. I have seen the answers but it did not help me understand how the answers are derived. I want some advice on how to ...
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2answers
35 views

Simple Fulcrum Analysis

Something simple is tripping me up in a design, and the problem can be reduced to a simple 'seesaw' setup: a rigid beam with pin joint and a weight hanging from each end. I have attached an image with ...
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Statics poblem with a pre-stretched spring

I am dealing with a statics problem in the following link. This question is from the courtesy of Engineering mechanics, Statics by R.C. Hibbeler, 13th edition. Before applying vertical forces F and -...
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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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Parallel Axis Theorem for x and y Shift

I have a quick question about the parallel axis theorem. Let's say I have a box-like object rotated about the following pivot point I was wondering, by applying the parallel axis theorem, would the ...
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Where is the axis of bending for a box lifted by a crane?

A box is being lifted by a crane. Sometimes the box will be completely full, and sometimes it will only be partially full (indicated by the gray shaded regions). The question is, where is the axis of ...
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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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In static equilibrium body, how can an applied moment about an axis contribute to reaction moment to another point away from the axis?

Determine the resultant internal loadings acting on the cross section at B of the pipe shown in Fig. 1–7a. End A is subjected to a vertical force of 50 N, a horizontal force of 30 N, and a couple ...
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How do you determine the Maximum Radial Load in Linear Actuators

should the maximum radial load be considered? A linear motor has a Maximum Load of 500N and a 300mm Stroke Length. There will be instances that the Linear Actuator will have a Vertical Force while ...
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38 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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Reaction Forces on a Beam

I'm new to beams and I'm struggling to find the correct vertical reactions forces at support C and E. The correct answer is 8.58 kN for $V_c$ and -3.58 kN for $V_e$ However, when I ...
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Help with finding support reactions of a truss

Can you please help me find the answer to the above question, I am unsure how to work with F2 as I can't find the distance from Moment A or Moment J to this. Thank you
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Derive a Transfer Function from first principles (PID, system identification, statics)

I want to derive a transfer function of my system so I can plug it into MATLAB and use the PID tuner tool. My system is a balancing beam with a motor on each end of the beam. My first principles ...
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Can you assume that the forces in the vertical direction are evenly distributed for an off level rigging problem?

This is an off-level rigging problem. When solving for the tension forces in the red slings (lifting from point A), can the assumption be made that the y force vector at points B and C are each half ...
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Dynamic spring tension [closed]

I have rope on a spool that is on a cart that is powered and moving at a constant velocity of 0.5 m/s. The end of the rope is passed thru a break and fixed to the wall. one break has a compression ...
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Simple beam deflection of cantilever beam

Recently I had need to prove the beam deflection equation for a simple cantilever beam with a point load at the end. The equation would be in reference to the Euler-Bernoulli theory taught in most ...
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4answers
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Physical meaning of increment in static problem in abaqus

When we use Abaqus to solve the static problem, one step is to set: Time period, the number of increments and increments size. But since the static problem is not time-dependent, there is no time, ...
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Statics Distributed load question

Determine: the distributed load $w_0$ at the end of D of the beam for which the reaction at B is zero the corresponding reaction at C. Please show me how to get the right answer to this question.: ...
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1answer
63 views

why the constants of the shear and bending are zero

In order to get the bending and the shear function using the singularity functions we integrate loading. could you please tell me why the two constants are zero. We know that the load is related by ...
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Fluid Mechanic Buoyancy problem. How to determine the height?

I tried to solve it but I don't know how to bring the Area A in this equation. I used the area of the small vessel, but this one shouldn't be in the equation. Thanks a lot
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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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Indeterminate beam with a guide at each end

I've been battling with a statics question (as attached) and can't for the life of me figure it out. I've attempted removing the left side guide joint so then there are only 3 reactions and it should ...
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1answer
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defining the dimensions of a bucket elevator chain link

how to define the shape of a heavy duty chain link when the pitch of the chain and the traction load that the chain is subjected to is known? lets say i consider the traction load as the maximum load ...
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2answers
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Can a simple application of two forces have two different outcomes on a rigid body?

[Summary: If two forces are such that the component of one of these forces forms a couple with the other, than which of the two cases (obtaining resultant via adding forces or obtaining moment and a ...
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Centroid and toppling [closed]

A uniform block is in the form of a square ABCD of sides 2 m and a unit thickness. E is a point on AD such that ED = xm. The portion EDC is then removed from the block. What is the maximum value of x ...
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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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HELP WITH ASSIGNMENT. CENTER OF GRAVITY

I have a Statics assignment which I don't seem to fully understand. Here is the full assignment: For the first question I have tried making several tables with Areas of each parts and the centre of ...
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Supporting flexible square plate of uniform density in equilibrium with only 4 rolling contacts placed along the square's diagonals

Consider a flexible square of uniform density with vertices (0,0), (0,1), (1,0), (1,1). I need the 4 coordinates for rolling contacts along the diagonals that will stably support it. Someone could ...
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What is the difference in CFM, at a given static pressure, between a CPU fan and a Squirrel Cage Blower fan when moving air through ductwork?

I have a Delta ASB0912L DC Brushless fan. PDF here. In the datasheet it says, RPM 3800 CFM 67.80 IN H2O 0.302 On the blower, squirrel cage fan, Dayton from ...