Questions tagged [statics]

Statics is branch of engineering concerned with the analysis of forces and moments on physical systems in static equilibrium.

Filter by
Sorted by
Tagged with
0
votes
2answers
2k views

How would I find the Second Moment of Area of a Parallelogram?

How would I find the second moment of area of a parallelogram, as shown?
1
vote
2answers
630 views

What is the distance at which the triangular UDL is acting on in this problem?

I'm working on the statics problem below: I'm tasked to draw the shear and bending moment diagram for the frame. I'm trying to work out the reactions and I'm taking the moment about pin E.Here's my ...
5
votes
1answer
178 views

How to draw a shear force diagram when two forces are acting at the same point

I am working on this question on my statics assignment: Approximately at point B there are two forces, 20kN and 50kN.So far, I have only calculated global equilibrium and got the following values: $...
0
votes
2answers
510 views

How can I determine horizontal force reactions in a fixed on both ends beam [closed]

How can I determine horizontal force reactions in a fixed on both ends beam like this one?
1
vote
2answers
260 views

Does a washer really increase static friction force?

Suppose I have a bolt that goes through a hole in a plate and is under tension. If I place a washer between the bolt head and the plate, does static frictional force (torque actually) really double? I'...
2
votes
0answers
19 views

Shift of joint in kinematically indeterminate system

Given ist the following system: $$EI=100000\frac{\text{kN}}{\text{m}^2}$$ $$EA\to \infty$$ I'm suppossed to find the horizontal and vertical shift of joint g. My first approach was to use the ...
3
votes
1answer
130 views

Skewing of joints using virtual work

Given ist the following framework: $$E=210 \frac{\text{kN}}{\text{mm}^2}$$ $$ EA \to \infty $$ $$ I_1 = 80000\text{cm}^4 $$ $$ \frac{I_1}{I_2} = \frac{3}{4} $$ $$ I_3=I_1 $$ Using the principle of ...
-1
votes
2answers
183 views

Engineering mechanics(statics) [closed]

I don’t get how to get the answer to part e. Should we assume reactions at A and B in all three figures are same? If so, why?
5
votes
1answer
6k views

Shear Force Diagram of a Simply Supported Beam with triangular load distribution

I've been attempting this fundamental shear force diagram problem for several days, but can't seem to get the correct result. I'm trying to calculate the shear force diagram in terms of $x$, but I'm ...
1
vote
2answers
1k views

How can I calculate the buoyant force on an object without knowing in advance the amount of water displaced?

Suppose I know the mass and volume of an object, as well as its exact shape and density distribution as a function of space (x,y,z). Without submerging it to determine the amount of water displaced, ...
7
votes
3answers
884 views

Calculating moment of inertia for a hollow discontinuous circle?

This is a pretty simple problem, but I'm just not sure how to go about it. I want to find the moment of inertia of a discontinuous hollow circle. But since the shape is so irregular, I'm not sure how ...
1
vote
2answers
114 views

Design of multiple wood layers

I am currently working on designing a teeterboard for the circus (a seesaw that people jump up and down on the ends), and need some advice on my methodology for wood selection. The primary wood will ...
3
votes
2answers
804 views

How does the number of braces in a balsa wood tower affect the load capacity?

I am deciding between two design ideas for a project in which I have to build a balsa wood tower that can maximize load weight and minimize structural weight (maximize efficiency). I've included a ...
2
votes
2answers
65 views

Beam question to find the maximum stress

I tried the question but I didn’t get the correct answer, can anyone tell me what mistake I made? $$\begin{align} I &= \int y^2\text{d}A \\ &= 25^2\cdot10^{-6}\cdot200\cdot50\cdot10^{-6} \\ &...
-1
votes
1answer
289 views

Beams question help [closed]

I tried to solve this question I arrived at this diagram but taking the moments about the center of the beam I arrived at x=L/2. Can someone tell me what I need to do to get the correct answer?
1
vote
0answers
83 views

What are the reactions at the supports? [closed]

Suppose that you have a bar of length 2 meters. This bar is along the x-axis. At x=0 there is a pin support. Also, at x=1 meter there is a pin support. A forceof magnitude 50Newtons is applied along ...
4
votes
1answer
47 views

How to apply static failure criteria for bending stress in an angled cylindrical surface?

Let’s say I have an irregularly shaped bearing with a cross section that looks like the angled surface of a conical frustum, shown below. If a bending moment is applied which causes the inside ...
2
votes
1answer
189 views

Failure due to shear stress on rod lip?

Let’s say I have a circular rod that has an outside lip with a larger diameter and certain height. The rod moves axially, and the intent of the lip is to mechanically stop the rod at a maximum axial ...
0
votes
1answer
437 views

How to deal with inverse distributed load ramp starts and ends somewhere along the beam?

I know how to solve it by moment line methode but i want to use singularity function here and i'm very confused. My strategy consist of writing the correspond singularity function for each element but ...
4
votes
3answers
2k views

is bending moment on roller supports at beams zero?

isn't the bending moment supposed to be zero on roller supports at beams? then why isn't it zero here in this picture at x=2?
1
vote
0answers
69 views

How to design a shelving unit out of McMaster Carr Struts? [closed]

I apologize for the complete beginner question. I'm an Undergraduate Research Assistant trying to design a shelving 8'tall by 10' Long, 4' wide shelving unit to support about 200 lbs. I'm designing ...
0
votes
3answers
786 views

Second Moment of Area for slanted triangle?

Consider this triangle with its centroid at $C$: Then this is how I believe we can calculate the Second Moment of Area along the $x_{C}$ and $y_{C}$ axis: $$\begin{align} I_{xc} &= \frac{bh^3}{...
6
votes
5answers
334 views

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 ...
1
vote
3answers
240 views

Difference in shear stress - one bolt vs two

So i have a little diagram to visualize: So lets say i have a 20 mm plate connected with two M8 bolts, and i apply a 30kN force in the direction shown in picture. Question is - would the force be ...
4
votes
1answer
149 views

3D construction [closed]

Can someone please tell you what to start with to construct a Kids Bike Trailer as 3D. It should select material and geometry. I think I should start sketching with forces (children's weight) and ...
4
votes
1answer
2k views

What is the advantage of statically indeterminate structures?

Most of the real life structures are statically indeterminate. What is the benefit of designing a statically indeterminate structure instead of a statically determinate one? I don't mean only beams ...
2
votes
1answer
53 views

Included angle in a semicircle

I'm solving this problem in mechanics, Two cylinders A and B, weighing 100 lb and 200 lb respectively, are connected by a rigid rod curved parallel to the smooth cylindrical surface shown in Fig. P-...
0
votes
1answer
591 views

For a bridge/beam, how will the Young's modulus affect the susceptibility of it buckling? [closed]

I originally thought that a higher Young's modulus would increase susceptibility, but now I'm thinking it might be independent.
1
vote
0answers
236 views

Maximum slope of the road for a car pulling a trailer

I have a five meter long, 2.40 meter wide, 200 kg portable catamaran I've built at home. To transport, I bought a semi-finished trailer, just the running chassis; and built the upper structure, namely ...
3
votes
3answers
1k views

Why does the minimum force have to be parallel to the incline?

If we have an object on a frictionless inclined bench, why does the minimum force applied to keep it steady have to be parallel to the incline (or perpendicular to the reaction force)? In other words,...
0
votes
2answers
8k views

how to solve internal hinge problem with loading given on hinge [closed]

how to solve internal hinge problem with loading given on hinge
0
votes
1answer
1k views

Why are the support reactions of the two pin-connected members different?

Can someone please explain why the support at C does not have a vertical reaction force while the support at E has? Doesn't the support at C have the same kind of pin connection as the support at E?
4
votes
1answer
83 views

Dimension of the unidirectional mechanical clutch

This is a problem from the book Engineering Mechanics Statics vol-1 by Meriam Kraige. The elements of a unidirectional mechanical clutch are shown in the figure.A torque $M$ applied to the outer ring ...
3
votes
1answer
469 views

Normal force between two boards

This is a problem from the book Engineering Mechanics Statics vol-1 by Meriam Kraige The rectangular steel yoke is used to prevent slippage between the two boards under tensile loads $P$ .If the ...
3
votes
1answer
673 views

Car which can climb the ramp of higher inclination

Two automobiles both of which have the mass center located midway between the front and rear axles,are identical except that one is front-wheel-drive and the other is rear-wheel-drive.The cars are ...
3
votes
1answer
100 views

Force P required to slide the door if one of the wheel becomes frozen

I am solving problems from the book: Meriam Kraige Engineering Mechanics statics vol 1. The problem is as follows: The sliding door rolls on the two small lower wheels $A$ and $B$. Under normal ...
1
vote
1answer
111 views

Isn't a pin support supposed to prevent translation both horizontally and vertically?

I know that pins prevent horizontal and vertical translation and that rollers prevent only the vertical one. Therefore, what I do not understand here is that while the support at B reacts with two ...
1
vote
1answer
110 views

Suspended Shelf Problem

I'm attempting to create a suspended shelf. I need to determine the horizontal force at point A to determine whether or not the fasteners will fail. All members are rigid and the supports at A and B ...
0
votes
2answers
192 views

Finding the force in a cable of a rigid system

QUESTION (see attached image file): I got stuck when trying to find tension for part A; see my working below. and help me solve.
0
votes
1answer
2k views

Determine the reactions at A and C, knowing that α = 30º [closed]

QUESTION(see image attached): Really need help here can someone help me show how we get the solution as shown in the image file attached above. okay since I was asked by one of the users ...
2
votes
1answer
555 views

Solving truss using method of joints

So, this is the truss I have to solve, more precisely I have to find forces in all of the members of the truss. That is why I used method of joints. I started from the joint A and realised without ...
1
vote
1answer
106 views

Structural Analysis Conundrum

I am analysing the forces within a certain frame, and for some reason there do not seem to be sufficient equations of equilibrium to solve for all the internal forces. Is there something about this ...
2
votes
1answer
129 views

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 ...
2
votes
2answers
753 views

How can we derive the formula of the centroid?

In order to find the coordinates of the center of an area, we can use this formula: $$\begin{align} \overline{x} &= \frac{\int x\text{d}A}{A} \\ \overline{y} &= \frac{\int y\text{d}A}{A} \...
1
vote
1answer
54 views

why does the body have an no angular acceleration if the applied force passes the center of mass?

While I was looking for the definition of the center of mass , I found this text : "If a single force acts on a    body and the line of action of the force passes through the centre of mass, the body ...
3
votes
2answers
40 views

Would friction forces impact a torque measurement transmitted through a gear box

I want to be able to detect very small torques placed on the end of a cantilever beam. These torques are very small - 1mg by 10cm. I am trying to make this on the cheap and use a load cell. I plan ...
0
votes
1answer
238 views

Burst pressure of a sphere

Is there a formula for the burst working pressure of a spherical pressure vessel that takes into account its material peoperties? It should be noted that this is not a concentric sphere design (it has ...
1
vote
1answer
4k views

How to find the reaction forces, moments and the displacement of the fixed beam with a link?

The beam is fixed on both ends and there is a link in the middle. There is a force F on the link. My approach to solve this problem: A free body diagram is cut at the link and made into 2 systems. ...
2
votes
0answers
187 views

Fluid Statics Problem

I have been attempting this question for a while now. Could anyone give me a hand? The question and the work I have done so far is below. My final "answer" is P (force required to keep the gate ...
2
votes
1answer
438 views

Reaction force on a beam

I have the following problem most of which I have calculated but have a difficulty with the beam under angle. The angle is 56,30 degress. I just cannot figure out how the forces there are acting - the ...