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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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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Door Design Calculation

I am in process of designing a door; Mass = 370kg Width = 535mm Height = 878mm Thick = 100mm max angle = 120 deg I have done calculations to size the hinges; just struggling with the force ...
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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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60 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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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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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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31 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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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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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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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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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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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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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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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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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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35 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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55 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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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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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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69 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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121 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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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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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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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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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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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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3answers
79 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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158 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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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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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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