Shear Definition and 621 Threads

Similarly the paper by @buchert and @ehlers https://arxiv.org/abs/astro-ph/9510056 Here the author has defined ##v_{ij}=\frac{\partial v_i}{\partial x_j}=\frac{1}{2}(\frac{\partial v_i}{\partial x_j}+\frac{\partial v_j}{\partial x_i})+\frac{1}{2}((\frac{\partial v_i}{\partial...

i really can't understand the answer of this question, is the question 1.3 in fluid mechanics by Frank ,M White For the triangular element in Fig P1.3, show that a tilted free liquid surface, in contact with an atmosphere at pressure pa, must undergo shear stress and hence begin to flow. i...

Hi, Starting with an example to clarify what I am looking for. Assume an extension force applied on a distance from the centroid/neutral axis of a body: see attached, please. As result, bending force besides the tensile force will be generated in that body as presented in section A-A in the...

1)In a flowing fluid in laminar fashion we know that it flows in planes which slides over each other, Let's take a fluid element (cylindrical) in a pipe(Radius=R) the resistive force is (stress)(cross section area of cylinder with radius 'r') acting in backward direction, now if I take Flow...

Hello. This is a basic statics/mechanics of materials problem. Here's an image of my work. I've taken a course in statics before, and this is supposed to be review, but I can't seem to get the correct answers which are V_c = 75 lb, M_c = 1125 lb*ft. I've chosen the right side, and it seems as...

The scenario is: we have a simply supported beam, with the supports being an arbitrary distance inward from the outer edge of the beam (both are the same distance from their edges such that the beam is symmetrical about its centre). The beam also experiences uniform loading across the entirety...

Hi, there's no particular question I need help on - just a few things I need clarifying. To determine the max shear stress, I know max shear stress = (max normal stress - min normal stress)/2, but are these equations true for a 3D stress state? (please look at attached image) Thank you

Homework Statement Two consolidated and drained (CO) triaxial compression tests (tests A and 8) were conducted on dense dry sand at the same void ratio. Test A had a cell pressure of 150 kPa, while in test B the cell pressure was 600 kPa (u=OkPa). These stresses were held constant throughout...

Hi everyone, I would like to know the formula for calculation of velocity and shear rate in my rectangular fluid channel. Here are the important values regarding my rectangular channel. W= 2.5 mm, H=3 mm, L=35 mm. Fluid: Diluted Bacterial suspension derived from wastewater. Flow rate: 0.125...

Homework Statement A diver stands (80kg) at the end of a diving board, causing the board to dip 10cm. The board has a width of 34cm and a height of 6cm. If the shear modulus of the board is 2x10^6pa, what is the length of the board? (Ans: 5.2m) Homework Equations [/B] F/A=S⋅Δx/h The...

Homework Statement I was asked to find the shear force diagram and bending moment diagram for this load combination...But , i have problem of getting the BMD now . i am not sure which part is wrong , can anyone point out ? Homework EquationsThe Attempt at a Solution MA = 5(2)(1/2)(2/3 x 2) +...

Ok, so I would like to know if something is possible. I have a bamboo ring, which has been cut in half, and had a piece of fabric soaked in epoxy placed in between to act as a flange. Under compression, the main failure occurs at the fabric/bamboo connection, as a result of shear stress. Is...

Homework Statement Homework Equations maximum torsional shear stress = (Torque*radius)/polar moment of inertia The Attempt at a Solution I am lost on equation(4-14), I looked through the textbook but didn't find a derivation.

What is an orientation (i.e., set of Euler rotations) or shear transform collectively termed? It seems that these transforms, along with the scale transform are known as "linear" transforms, as described in the Venn diagram on page 2...

My mechanics of materials book states that in order for an element to be in equilibrium it must have equal horizontal and vertical shear stresses. However, it also states "The shear stresses in the web of a wide-flange beam act only in the vertical direction and are larger than the stresses in...

Hello everyone, I've been messing around with FEA and I'm trying to match my simulation with hand calculations. While doing this it occurred to me that i really don't understand why we use avg shear stress instead of maximum shear stress when determining the safety factor of a structural member...

Homework Statement Homework Equations direction of normal and shear stress The Attempt at a Solution I view it like A and C are the same; B and D are the same... as both shear stress of A and C points outwards and shear stress point to the corner with 135 deg vice versa for B and D what...

Hello I am a bit confused how to calculate the shear force and bending moment graph for a beam under point loads, distributed loads and bending moments. Is the discontinuous functions the best method to solve such problems? Can anyone outline an approach? I don't understand for example how...

Hi everyone, Non-physics student here, and slightly in over my head :D I am slightly stumped for ideas regarding the calculation of the shear rate in a rectangular type channel, which I need to effectively simulate a blood flow type condition in a channel that has to be rectangular due to the...

Homework Statement [/B] problem - https://imgur.com/34yTyCAHomework Equations I = d . b^3 / 12 tmax = (F / I . b) . (A1 . y1) + (A2 . y2)The Attempt at a Solution It is asking for the maximum shear FORCE in the beam. Do I take the maximum value from the shear force diagram as shown in my...

Homework Statement Mohrs circle question - https://imgur.com/SKeTUXN Shear stress in I beam question - https://imgur.com/34yTyCAHomework Equations Mohrs Circle - None Shear stress in I beam - I = d . b^3 / 12 tmax = (F / I . b) . (A1 . y1) + (A2 . y2)The Attempt at a Solution For the...

Homework Statement Knowing the left lug is carrying 10,000 lbs, determine the loads P1 and P2 in the lugs on the opposite side of the pin. Homework Equations Force Balance (ΣF=0) Another equation needed The Attempt at a Solution 10000 = P1 + P2 This is where I need another equation to...

Homework Statement I am trying to model a structure that has moment connections between some beams and columns, and shear connections between the remaining beam and columns in 3D. The software I am using (S-Frame 11) gives me an error when running the analysis for the nodes that I have...

Homework Statement A Bolt is in single shear and is tightened so that it exerts a tension force of 60kN, the diameter of the bolt is 25mm and the shear loading is 40kN; Given that the tensile stress should not exceed 350N/mm2 and the maximum shear stress should be taken as 60% of the maximum...

The problem is to determine the shearforce Q on the hut near the ground. This is not a homework or anything like that, I'm just studying for an exam and this problem is in the book "Engineering Mechanics, Statics" By Meriam Kraige. On another forum, I found this: I understand the part in...

Homework Statement I was asked to design a beam from the beginning to detailing . I encountered that the shear force for minimum links is greater than the maximum shear force , is it possible ? Homework EquationsThe Attempt at a Solution I have checked thru the working , it seems that...

Homework Statement "In a component under multi-axial state of stress, the ratio of shear stress to normal stress along principle places is _____. A) 0.0 B) 0.5 C) 1.0 D) 1.5 E)2.0" Homework Equations σx' = (σx+σy)/2 + ((σx-σy)/2)*cos(2θ) + τxy*sin(2θ) σy' = (σx+σy)/2 - ((σx-σy)/2)*cos(2θ)...

1. Homework Statement I have problem solving the bending moment and shear force of a conduit with a curve end. The conduit is lifted in the mid-air with 2 slings and assume it is in equillibrum. I have attach a drawing for reference. Homework Equations What i know, there is a UDL somewhere...

Homework Statement Two coaxial shafts are to be connected by a flanged coupling having six 15 mm diameter bolts equally spaced around a 300 mm diameter pitch circle. Determine the shear stress in the bolts when 300 kW is transmitted at 400 revs/min; (i) Assuming the bolts are equally loaded...

Specifically, an elemental shear operation. I can prove how any existing linear dependency that exists persists with the new sheared vector, but I can't seem to prove that this shear operation does not introduce a linear dependency. I can see how the vector space between the 2 rows involved...

Homework Statement https://ibb.co/imui5b[/B] hey i need to calculate max normal stress at BC and max shear stress at b and c is my torque equation right? Homework EquationsThe Attempt at a Solution so i thought Σma=0 Cx*6+80*6+80*2=0 i ll find cx and then ΣFx=0 and ΣFy=0

The equation is: (Shear force*Statical Moment of area)/(moment of inertia of cross-sectional area*thickness of material perpendicular to shear). Let's call it a point force. The questions I have is: what is the "moment of inertia of cross-sectional area" & what is the "statical moment of area"...

I'm looking for a way to calculate the shear force applied to a brake pad from stopping ( a small engine brake pad stopping a fly wheel). I know shear stress is shear stress/ area , would this apply for a dynamic application as well? Would I need to calculate the force to stop the flywheel at a...

Say you have a rectangular channel with a width, w (m), and a height, h (m) and an infinite length. The channel itself is fixed and none of the sides can move with respect to one another. If you know the volume flow rate, V (m3/s) of fluid through the channel, how do you calculate the shear rate...

Hi, I'm afraid I not very good at these questions just yet and would like a walk through a bit better than the one I was given by my tutors. Thank you, please refer to the inline image.

I am wondering why the material thickness is not factored into calculating bolt shear strength in a joint. I know that it is used when calculating the strength of the material itself and its susceptibility to deformation and tear out but why not the bolt? When you cut a piece of cheese you use...

Homework Statement An alternative to the usual no-slip wall boundary condition ##u = 0, v = 0##, is the porous-wall condition ##u = 0##, ##v = v_w(x)##. A porous wall with negative ##v_w## (suction) is known to delay transition to turbulence, for example. 1a) Assuming a uniform ##u_e(x)##...

Hello All I am designing some very basic components for a motorcycle project at home, and because I am interested, thought I'd use it as an opportunity to refresh my memory in order to reduce the risk of the parts failing. To begin, I want to do some basic hand calcs if possible so have...

Homework Statement Write the shear and moment diagram equations and graph them. Homework EquationsThe Attempt at a Solution I attached my attempted solution in a pdf (I know the last section of the moment diagram is supposed to be parabolic, I accidentally drew a straight line instead). I...

Homework Statement Homework Equations [/B] Shear force is calculated at each point on the beam. Downward forces are negative, upward forces are positive. Moments about points are calculated as force multiplied by perpendicular distance. Clockwise moments are negative. Anti clockwise...

I have been attempting the Solidworks Simulation certification but keep just missing out by a few marks and I believe these questions are the main ones which are killing me. I haven't done these calculations in years and I've been lost with how to do the hand calc's. Any help would be appreciated.

I just found that applying an axial load of magnitude σ on both sides of a ductile rod will produce a max in plane shear stress of magnitude σ/2. Why is this? How can there be shear stress if only a normal force is applied?

Hey guys, I know this is a bad question but I would love to know how. Usually, in the examples, the loads are given as UDL where you can to find same reaction at both ends of beam. What if the beam loadings are with multiple point loads, (5 or 6 point load) and the reaction of the beam at both...

I'm designing a 'thing' for my masters project, which has to be 3D printed. I've designed this in Inventor, but it doesn't have PLA (Polylactic Acid), so I've been using Inventor's PMMA (Perspex) thus far. I want to get more accurate figures, so I've had a 1 cm3 block printed to get an exact...

Homework Statement The bottom surface (8 cm x 12 cm) of a rectangular block of cheese (3 cm thick) is clamped in a cheese grater. The grating mechanism moving across the top surface of the cheese, applies a lateral force of 20 N. The shear modulus, G, of the cheese is 3.7 kPa. Assuming the...

Homework Statement Why we need to consider only 3 cases when we want to find the max positive shear ? Homework EquationsThe Attempt at a Solution IMO , We know that the max shear will only occur when the 67.5kN act on B , am i right ? There is no need to consider 3 different cases ...Or my...

Homework Statement For the maximum moment occur under the 1.5k load , why when we consider the left part of the beam, we just need to consider the forces 2k and 1.5k only ? Homework EquationsThe Attempt at a Solution How about FR = 4.5k and also the 1k ? Cant i just consider all of them ...

1. Homework Statement A load p of 5kn is applied to the tensile member shown and carried at the joint by a single 20mm diameter rivet.The angle of the shear joint is 60 degrees to the axis of the load. calculate the tensile stress in the rivet calculate the shear stress in the rivet given...

Homework Statement why at C . the shear force V change from -0.5 to 0.5 ? We wantg to determine the shear force at different location , and a unit force is applied at arbitary location ( measured from A) ... Homework EquationsThe Attempt at a Solution IMO , there's no upwards force of 1...