What is Shear force: Definition and 104 Discussions
In solid mechanics, shearing forces are unaligned forces pushing one part of a body in one specific direction, and another part of the body in the opposite direction. When the forces are colinear (aligned into each other), they are called compression forces. An example is a deck of cards being pushed one way on the top, and the other at the bottom, causing the cards to slide. Another example is when wind blows at the side of a peaked roof of a house - the side walls experience a force at their top pushing in the direction of the wind, and their bottom in the opposite direction, from the ground or foundation. William A. Nash defines shear force in terms of planes: "If a plane is passed through a body, a force acting along this plane is called a shear force or shearing force."
Hi there,
I have created lots of shear force and bending moment diagrams for simply supported beams. I have used the maximum value on the bending mement diagram for bending and stress equations, but I have never found any real use for the shear force diagram. Yes they tell you the distribution...
…or must it be of displacement, x?
In a shear force, V (or bending moment, M) diagram, isn't it usually the shear force (or bending moment) plotted as a function of displacement, x?
When someone asks to "draw the shear force and bending moment diagrams as a function of the applied load...
Homework Statement
Hi all, I have a problem determining the moment and shear force at a location. The moment, I think, I have already solved. But I get stuck at calculating the shear force at the same location. It is for a element that is suspended in water, thus the weight of the element...
Homework Statement
So in my notes we have the following example:
So I decided to try to solve it another way, this time I flipped the figure and here is my attempt:
I got the correct moment but then the signs on my shear is flipped. Does anyone know why?
Homework Statement For the beam shown in the figure: a) Draw necessary free body diagrams
b) Calculate support reactions
c) Draw the shear force and bending moments
Homework Equations
∑Fy = 0; ∑M = 0; V(x) = ∫ L(x) ; M(x) = ∫ V(x)
The Attempt at a...
Homework Statement
This is the question that I am struggling with.
http://postimg.org/image/5kb0pur3z/
I need to plot shear force and bending moment diagram of it.Homework Equations
The beam is in static equilibrium so algebraic sum of forces in x and y direction equal zero.
Also, moment is...
Homework Statement
Let me first add a picture of the experiment and than try to describe my problem:
So I have two rods (one with a square profile and the other one with a circle profile) and what I do is I apply some force in the middle. The rod bends under the applied pressure...
Homework Statement
What is:
i) In diagram 1, the magnitude of the normal force at A
ii) In diagram 2, the magnitude of the shear force at B
iii) In diagram 3, the magnitude of the bending moment at C
iv) In diagram 4, the magnitude of the bending moment at the support...
Homework Statement
transverse loads are applied to the beam in the figure at A, C, and E, and a concentrated couple 3Pa is applied to the beam at E. Determine expressions for (a) the transverse shear force Vc and bending moment Mc at a section just to the left of the load at C, and (b) shear...
Hi guys, I have a repeat exam in 10 days and I have a couple of things which I would appreciate if you would help me with.
I have attached the mock exam and my attempt at question 2. I will describe where I have issues below.
Homework Statement
For the FIRST question, I have the...
Hello all,
I'm having some difficulty understanding the relationship between the diagrams. I understand that the area under the shear force diagram curve is equal to the moment. But let's say you have a cantilever beam, 10 m long, anchored on the left. There is an evenly distributed load...
Homework Statement
I am attempting to calculate the shear force Vx, and bending moment Mx within the interval C - D of this beam.
Homework Equations
ƩFy = 0
ƩMx = 0
The Attempt at a Solution
I have calculated the support reactions to be RA = 5kN and RB = 55kN
ƩFy = 0...
Homework Statement
Calculate the Maximum Bending Moment of the bridge section using the values given.
Ra = 61837.91667 N
Rb = 78304.5833 N
(please refer to attached diagram)
Homework Equations
shear force is = 0 when x = 13.755998 m
(I worked this distance and the shear force equation out...
Gents and Ladies
I have a question I have been given to work out shear force for.
The question is an elastomeric bearing pad is subjected to a shear force V
the top plate is found to have displaced by d = 12mm
dimensions of the top pad are a = 150mm by b = 200mm, the thickness (d)...
Homework Statement
Homework Equations
ƩFx=0
ƩFy=0
ƩMo=0
The Attempt at a Solution
I have no clue. By cutting the pieces, it changes the length. By cutting the cable at c and removing the 2 supports, wouldn't it make all the forces and moments = 0?
I was wondering how you incorporate an angled load into a shear force diagram? So far I've only been working with vertical loads and I've looked through my entire book without finding an example with loads at an angle, so I'm not sure what to do here. I know I have to end up at 0 so I see I...
Homework Statement
We need to design the cross section of a beam to make it suitable to carry a uniformly distributed load. The beam is held up by 4 ropes which are shown on my diagram as R. In the same attached picture I have the shear diagram and the bending moment diagram for this...
Homework Statement
I have a shear force diagram and I am asked to find the magnitudes of the point loads and where are they situated
My question is, what am I looking for to find the point loads in a shear force diagram?
Homework Equations
The Attempt at a Solution
Homework Statement
http://img189.imageshack.us/img189/9131/22465062cfdd4934b51d7f5.png
Hopefully the image isn't too difficult to decipher... Basically a beam balanced on to pin jointed pivots with 6 metres in between each one.
Homework Equations
ƩFy = 0
ƩFx = 0
ƩMP = 0
The...
I have drawn the following shear force diagram however it says it is wrong. Could somebody please explain to me what is wrong with it. The points in the diagram are 0 then -4 then 1.25 then 1.25, then back to 0.
I have the problem below, my question is what should the shear force diagram look like, I know its just a simple cantilever so does that mean the shear force diagram will be very rectangular looking?
Need help!Matlab programming for shear force and bending moment diagrams of a beam
Homework Statement
A program is required that will calculate the shear force and bending moment diagrams for a
cantilevered beam of arbitrary length. The loads may be point loads or distributed loads,or a...
1. I have a rod as pictured in the attachment. The rod is at a 45 degree angle.
The load force is 115.118lbf
The force is y-direction is 97.954lbf
The Force at A is 5 inches from Force in the y-direction.
The force at B is 10.5 inches from the Force in the y-direction
I need to find...
Folks,
I was checking to see was it possible to determine the bending moment diagram from the shear force diagram.
Seemingly one can do it for simply supported beams but if we consider a rigidly supported beam on either end its not possible to derive the bending moment diagram from the shear...
Homework Statement
This cantilever confuses me so much. The negative point loads and negative distributed load. And is the other one that's -40kN/m moment/torque or something. My question is how do I do the shear force and bending moment diagrams of this. Am i suppose to redraw the diagram...
Homework Statement
Hi,
I know how to draw simple Shear Force Diagrams, but I am struggling with the example in the below picture, as it has a UDL.
Homework Equations
The Attempt at a Solution
Normally for the solution, I should start the diagram at 26.7, then across and down...
Homework Statement
Determine shear force at point D of Beam
http://tinypic.com/r/339m5b6/7
Homework Equations
Sign conventions for cut at d when considering LHSFBD
M = xFy - yFx - cross product...
The Attempt at a Solution
I've found the reaction forces by finding the sum of moments...
Homework Statement
I have an assignment that is similar to the following question. I believe if i am able to do this question i will be able to do the assignment. However I cannot seem to be able to get this question right. Below the question and answer...
Homework Statement
A rod of length L is attached to a wall. The load on the rod increases linearly (as shown by the arrows in the figure) from zero at the left end to W Newtons per unit length at the right end.
(a) Find the shear force at the right end. (Use any variable or symbol...
Homework Statement
the distributed load the N V and Moment on the incline plan angle 30
solve by integral method
need solving this problem as example
Homework Equations
The Attempt at a Solution
Homework Statement
http://img80.imageshack.us/img80/4476/bendingshearquestion.jpg Homework Equations
\sumM = 0:
\sumFy = 0:The Attempt at a Solution
Revising for my finals and going over questions, and would like to understand more clearly how to get the following.
Solution is in the image...
I have just reg'd here and I have been lurking forever but its time to give in so I can get some help.
Ive been working through some examples in this book; and so far so good however I am on a question which does not make sense the way I am working it out seems to me to be correct however...
Hello All,
I have a quick question for you. I have small sample of a cement-like-like-material and I am high shear mixing it using a power drill and a impeller blade. The material is placed a beaker and the impeller blade shears the cement of the bottom of the beaker. I would like to...
There is a question on my home work that I just don't understand how they got the answer they did.
The first question is:
In a prismatic bar, the load applied on both ends is 37 N causing the member to be in tension. If the cross section area of the member is 5.7 cm2 and the allowable stress...
Homework Statement
My prof gave us this take home quiz to complete to prepare for our actual quiz. We are studying Shear force due to bending of beams (2nd year mech eng). In this question he told us that the shear force (V) can be applied at any of the points and that we would need to find the...
Homework Statement
hi >>> this is my problem
http://img39.imageshack.us/img39/7979/99979361.jpg
Homework Equations
The Attempt at a Solution
need the solution >
Homework Statement
I have to find the Shear Force and Bending Moment diagrams for this problem. The lengths in the picture are 1.2m each and the peak force is 4kN/m and I calculated the support reactions to be:
Ay=4,8kN (up)
Ma= 5.76kN.m (anticlockwise)
Homework Equations
These are what I'm...
Hi. The question is:
Draw the shear force and bending moment diagrams for the simply supported beam shown below. State the values of the greatest shear force and bending moment, and the bending moment at D.
The diagram is attached as is my attempt at the answer. I hvae not stated the values of...
Homework Statement
im trying to write a program for a class but first i need the formulas for the bending moment and shear force. i have the displacement and angle of the cantilever beam under a point load:
Y = -[(WX^2)/(6EI)][3a – x] for 0<x<a
Y = -[(Wa^2)/(6EI)][3x – a] for a<x<L...
So I'm taking a Strengths of Materials class right now (aka Mechanics of Materials) and my teacher absolutely sucks. We ask him questions but he doesn't have answers, so in turn I have no idea what is going on and why the book does what it does.
Right now we're working with I-beams and some...
Hi.
I've been given this to calculate the support reactions but I'm not sure how to handle the increasing udl. And how would this be shown on a Bending moment and shear force diagram??
Also with non increasing Udl's when calculating the reaction is it best to change the udl to one force...
if a beam has a shear force limit of x
and a bolt that is passing through the beam has a shear force limit of y
and y < x would the maximum allowable shear force for the whole system become y?
Homework Statement
http://imagebin.ca/img/uzuDsi.jpg
and by maximum it means in magnitude
Homework Equations
I figured the best (easiest/quickest) method would be to draw the shear force diagram.
When I originally did this problem I came up with equations for M and V by dividing...
the shear stress in each bolt is to be limited to 250mpa. i need to determine the minimum diameter of the bolts and the distance from the end edge of the centre plate to the centre of the bolt holes. All plates are 6mm thick and the punching shear stress for the centre plate is not to exceed...
Hi sorry I am rather new to all this but I was woundering if I could get some help?
Im currently studdying for my Uni's resits over the summer which fall in just a few weeks time.
Iv started to go through some of the old past pappers and I've got stuck on the same bit over and over again...
I need an equation for shear force ASAP
I am finding average shear stress . i have the equation for that
T=V/A
T being average shear stress A being area and V being Shear force.
Thanks
Homework Statement
It's number 4 I'm doing
Homework Equations
ΣmomentA= 0
ΣFx= 0
ΣFy= 0
The Attempt at a Solution
i've got the correct answers i think, but I'm not sure how to draw the shear force and bending moment diagrams because of the moment that's included. i did draw...
shear force diagrams simple stuff hey!?
hey guys this is probably very straight forward stuff for u but i have an example question on a loaded beam. there is a UDL, 2 pure couples and 2 fixed points.
now how do i do the shear force and bendin moment diagram for this
really lookin forward...
Can anyone draw me a correct Bending moment diagram and shear force diagram for this beam?
i have drawn the shear force diagram for this case but I do not know how to draw the bending moment disgram for this case because this question involve a constant moment. Normally the rule for bending...