Shear Definition and 575 Threads

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 Draw the shear and moment diagram for the beam Homework Equations ∑Fy=0 ∑M=0; ΔV=∫w(x)dx ΔM=∫V dx The Attempt at a Solution I am firstly finding the external forces as any statics problem(Ay=13.5kN upwards, By=13.5kN upwards).Then I found the equations of the...

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 I am self-studying this note and I am stuck in the derivation of the normal shear stress. I can't see how the relations (23) and (24) come about, i.e. I don't understand \tau'_{xx} = \frac{\tau_{xx}+\tau_{yy}}{2}+\tau_{yx} and \tau'_{yy} =...

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...

Hi When we talk about shear stresses in a fluid, we find that the shear stress is given by \tau_{xy} = \mu(\partial_y u + \partial_x v) = \tau_{yx} This relation we get when only looking at one side of our fluid-"cube". Now, in order to take into account the opposite side we assume that the...

Homework Statement Homework Equations qs1(0)=qs3(5) qs2(0)=qs1(5) qs3(0)=qs2(6) Vy=0 q(s)=-Vy/Iyy*Q(s) Where Q(s)=y*A Where y=y coordinate of centroid and A=Area The Attempt at a Solution To be honest I'm not sure how to separate the q(0) term, nor do I know what the...

what is shear stress?what is its direction?

A solid shaft 100mm diameter which transmits 75kw at 150 rev/min. the question is asking me to find the max shear stress and angle of twist per metre of the shaft length. G=80GN/m^2 I was under the impression to find the angle of twist you needed the length in the first place. None of...

Homework Statement In the question (see attached images), it asks me to draw the shear and moment diagrams for the beam shown in the figure. To do this, we use the equilibrium equations. What I do not understand is why M is present in the equilibrium equation for bending. Isn't the pivot...

Homework Statement DIAGRAM ATTACHED AT BOTTOM Q. The following statements are true for an element in plane stress state. (this is 2D) (1) one of the principle stresses is 40Mpa; (2) σx= -2τxy; (the algebraic values) (3) in x'oy' with θ=30°, the two normal stresses σx'=σy' Determine...

Homework Statement http://postimg.org/image/me4or4j7p/ http://postimg.org/image/tvdw6c8qt/ Using the views "a-a" and "b-b", can someone explain if these are single or double shear? I''d have thought they were both double shear, but the solution to the second one treats it as single...

Homework Statement A Bolt is in single shear and is tightened so that it exerts a tension force of 39.886kN, the diameter of the bolt is 20mm and the shear loading is 26.276kN; Given that the tensile stress should not exceed 290MPa and the maximum shear stress should be taken as 60%...

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 i am study for a physics test and i think my physics teacher gave me the wrong equation for shear stress Homework Equations she gave me F=Δx/l *A The Attempt at a Solution

Hello, I am having difficulty solving for the Area and wondering if this is correct.

Hello, I am wondering, is the area A in the equation meant to be the area of the empty space in the shaft, going all the way to the half way point of the structure (meaning, the area of the space included in the dotted lines in the diagram on my attempt?

suppose i have 4 solids like this: and the solid have shear stress and tensile stress 12N/mm2 and 15N/mm2 respectively, suppose i know the area of each surface, how can i judge whether this solid is able to withstand 20N load? what kind of formula should i use?

Homework Statement A Solid rod with .375 in. D sits glued in the hole with .38 in. D. There is glue only on the annulus of the rod. A force is applied to the back side of the rod until the glue bond is fully sheared and the rod falls out. Find the shear stress Homework Equations...

Hi All, So here's the problem. A project I am working on has a composite metal panel assembly, which a previous engineer designed. The metal panels are simply glued to the polystyrene (styrofoam sm). The problem is that the previous engineer did not consider the difference in thermal...

Draw the shear and moment diagrams for each of the three members of the frame. Assume the frame is pin connected at A, C, and D and there is a fixed joint at B. Please i need help with this .. would be great if anyone can help

Homework Statement Consider a fluid between two plates. One on the bottom which is stationary, and one at the top which is moving at constant velocity V. The plates are separated by distance h. Does shear stress change as you move further from the moving plate? Homework Equations the...

Homework Statement It's a relatively simple problem I'm sure, but I'm a bit confused on how exactly to go about it: There are three parallel plates with water (viscosity of 0.8807 cp @ 30°C) between plates 1 and 2 (plate order of 1 on bottom, 2 in middle, 3 on top), and toluene (viscosity...

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...

Homework Statement Find the normal and shear components (\vec{\sigma}_{n},\vec{\tau}) of the stress vector on the surface ABCD. Given: State of stress at a point \sigma_{xx}=3 \sigma_{yy}=0 \sigma_{zz}=-1 \sigma_{xy}=-\sqrt{2} \sigma_{xz}=1000 Unit normal...

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...

Im having difficulty figuring this question as their are not enough notes or guides on longitudinal shear on bolts. Shear flow(q/s) = VQ/I Yc = 100 I = 3.65 X 10^8 MM^4 Q = Ax Y' Q = 150 X 25 X 87.5 = 3281250 As analysing shear in the longitudinal which means taken consideration of...

Hey everyone, As part of my PhD project I'm trying to design a small bioreactor in which I will be growing animal cells. This bioreactor will basically consist of a hollow cylindrical vessel that has an impeller in it which will keep the liquid medium in the vessel well mixed. The impeller I am...

Homework Statement Homework Equations ƩFy=0 ƩM=0 The Attempt at a Solution Finding the reaction at A: ƩFy=0: A + (L*w0)/6 - (L*w0)/2 = 0 A = (L*w0)/3 ƩMA=0: MA - [(L*w0)/2]*(L/3) + [(L*w0)/6]*((2L)/3) = 0 MA = (w0*L2)/18 For the shear and bending moment: ƩFy=0: (L*w0)/3 - (x*w0)/2 +...

Homework Statement The maximum shear force of a set of bolts is 1000 kN. The ultimate shear stress is 750 MPa and the safety factor is 3. The diameter of each bolt is 20 mm. a) What is the maximum working shear stress in each bolt? b) The cross sectional area of each bolt? c) The maximum...

Homework Statement Determine the shear stress, \tauE, at point E that corresponds to the maximum shear force along the length of the beam. V = 25kN b= 55 mm c=150 mm d=110 mm e=65 mm Homework Equations \tauE = \frac{V*Q}{I*t} Q = \bar{y}'*A' The Attempt at a Solution I was able to find...

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 A locked door handle is composed of a solid circular shaft AB with a diameter of b = 108mm and a flat plate BC with a force P = 69N applied at point C as shown. Let c = 532mm , d = 126mm , and e = 153mm . Homework Equations \taumax = \frac{Tc}{J} T = internal torque...

Hello everyone, looking around I have faith that the members of this forum will be able to point me in the right direction, and I apologize if it's more basic than I'm giving it credit for. I'm an experimental researcher in rock mechanics, but I've always been fascinated by elasto-dymamic...

I have a screw that is used in our plant that is rated to break at 39 ft/lbs of torque. The diameter of the shaft is .130 inches. What is the shear modulus of the material that is being used. Thanks

I appreciate your help with this problem from a Three point Bending Test in Wood samples Homework Statement Force: 2400 N Deflection: 4.3 mm Span: 343 mm Length: 392 mm b: 24.01 mm d: 24.25 MOE: 16445.15 MPa How can I calculate the Modulus of Elasticity with shear corrected...

Homework Statement Assume a shear flow against a wall, given by U= Uo (2y/ax - y^2/((ax)^2) where a is a constant. Derive the velocity component V (x; y) assuming incompressibility. Homework Equations Haven't been able to find any in my course notes. The Attempt at a Solution...

1)When we are asked to calculate the shear stress at AB should we consider the width as T or as 2T? 2)And when applying t=vq/it what sections should we take and is the value we found located on the bottom of the area?(I'm not talking about this beam but any beam in general) 3)And finally given...

Homework Statement Let {ii}, i = 1, 2, 3 be an orthonormal basis as shown in Figure 2 and consider a simple shear deformation from R to R′ defined as \hat{y}(x) = x + γ(x · i2)i1 , where the scalar γ corresponds to amount of shear. Homework Equations For this homogeneous deformation...

http://img687.imageshack.us/img687/5889/shear.png I'm having trouble drawing the shear diagram on MAsteringEngineering. I'm pretty sure the values are correct too? I got By = 10.5 and Ay = 9.5 V(x) = -2x+9.5 for the distributed load so when I set V=0, I find the x intercept to be...

I'm dealing with a cylinder. The equation for the stress of each is Force / Area. What are the different areas for the equation in regard to young's modulus, bulk modulus, and shear modulus? Is the area Young's Modulus stress the area of circle face? What about for shear stress? Would the...

Can someone please help me. I have a pipe 200mmOD x 160mmID welded to a Steel structure The pipe is 100mm long with a 12mm plate x 250Dia welded at the end of the pipe. The steel structure weighs 7500Kg I have to lift the structure with a crane. The crane has a cable with a loop which can...

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...

If a shear force is acting on a rectangular beam, how do I use the value of the shear modulus to calculate if the force applied will fracture the beam? Below I've submitted the data involved. The shear force applied is 1000 N and the cross section area is 28 mm. So the shear force applied is...

Material: PVC E-modulus: 1300 N/mm^2 Poisson's ratio: 0.35 Applied shear force: 100 N Resisting area: 28 mm^2 Shear modulus: E = 2G(1+v) --> G = E/(2(1+v)) = 1300/(2(1+0.35) = 481 N/mm^2 Does this mean that a force which can be applied to the area without fracturing is 481 N/mm^2 * 28 mm^2? I...

Homework Statement Hi all, For my CW I have a question on a simple beam, ABCD and its cross-section. Please see attachment for figures The material of the beam is steel, where modulus of elasticity, E = 210 GN/m^2 I have been asked to calculate the principle stresses and the maximum shear...

Hi, Can anyone explain what would be the maximum shear force experienced by a rod if equal and opposite torques (T) were applied at each end? In comparison to a rod that was fixed at one end and had a torque T applied at the other end would the maximum shear experienced by the rod be...

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)...

Hi all, I'm having problems with visualising shearforce for a body.Let us take a rectangular prism and fix one of its ends.Let the other end be subjected to a tensile force T Newtons.The normal stress acting on the cross section is the tensile force /area of cross section perpendicular to...