Is the maximum bending moment and maximum shear stress an absolute value? For example, when drawing out a bending moment diagram say if I get -400 kNm at one point and 300 kNm at a different point. If these values are the maximum/minimum points on my diagram would 400 kNm be considered as a...
Homework Statement
A box shaped vessel, of ##4## compartments and ##80m## lenght, light displacement of ##800## tonnes loads ##200## tonnes in the first compartment and ##200## tonnes in the last compartment. Produce the shearing force diagram and bending moment curve.
Homework Equations
3...
Homework Statement
In the image uploaded below, a boxed shaped object is shown. It is floating in water so the forces that act on it are buoyancy and gravity. The first and the last compartments are filled with evenly distributed weight. The middle 2 compartments are empty.
Specifics are...
Hey guys,
So just completed a question on a sign post subject to wind loading of 2 kPa where you had to determine bending moments across x and z planes (picture below), to determine normal, shear, max stresses and then determine the factor of safety depending on the beam type you chose. That's...
I've drawn the free-body diagram of an airplane wing spar. I know the magnitude and location of all forces. What is the procedure to construct the bending moment diagram?
Homework Statement
It's been a while since I've done this, it's essentially a strength of materials problem in my mechanical analysis class so I haven't worked problems like these in quite a a while. I'm fairly confident I've done it right however I was hoping someone might be able to confirm...
Homework Statement
Force by uniform loading = 20(5) = 100kN
Vertical component of the uniform loading = 20(5)(3/5) = 60kN
Horizontal component of the loading = 20(5)(4/5) = 80kN
vertical reaction at roller support = Vr
vertical reaction at pin support = Vp
Homework Equations
Fx=0, Fy=0...
Im struggeling with understanding this task. Yeah I'm an amateur.. My English is not that good as well. My main problem is understanding where the share forces act on this dam, if its through the centre of pressure, or if its at the bottom of the dam. Now I have calculated the share forces...
hi Gents,
i am checking bending moment for hub connector. The manufacturer send me two values of maximum bending moment- one value due to primary load and one value due to primary load + secondary load. If you have any experience on checking bending moment of hub, please advise what value we...
Hello,
I can't find the formula for bending moment calculation of continuous tapered beam. the cross section is I (H) form, where web is 179.5 cm flange is 67 cm, web thickness is 1.5 cm and flange thickness is 2.5 cm. And this beam changes its height to 89.7 cm all other dimensions is the...
Homework Statement
I need to calculate the position and magnitude of the maximum bending moment.
Knows are:
E=210GPa
Homework EquationsThe Attempt at a Solution
I've calculated the following:
R1=33kN
R2=32kN
From the shear force diagram I know that at 2m from R1 at the concentrated load of...
Hi all, my professor has hinted at proposing a question of this sort to us for a shear and bending moment diagram. Now while I am comfortable with having [either] a uniformly distributed load or a varying one, I'm not sure how to deal with both. I can't seem to find anything in my textbook to...
Hi. I need help calculated the tension on bolts in an anchor plate.
The plate is bolted to a concrete wall with four bolts (see the included image). A bending moment acts on the plate, offset a bit up/down. The bending moment acts from up to down so that the upper two bolts are in tension and...
I'm working on a homework problem for Statics and I'm stuck. Could someone please help?Problem: Draw the internal force (N,V,M) diagrams and include all significant figures
Here is all of my work:
Resulting F from W1:
W(x) = W1
∴ F2=∫02b W1dx
eq (1) ⇒ F2 = W1⋅2b
x1 = (F1)-1 ∫02b W1dx =...
Homework Statement
The question is asking us to minimize the maximum bending moment by changing l3.
l1=3(m)
l2=6.5(m)
l4=12(m)
P1=1200(KN)
P2=2300(KN)
P3=410(KN)
and we know that obviously, 6.5<l3<12
Homework EquationsThe Attempt at a Solution
We made relevant cuts and acquired the equations...
Homework Statement
I have to work out the reactions at A & D. Sketch the shear force diagram for the beam and sketch the bending moment diagram.
i have worked out the reactions at A=56kN and D=34kN. I have done the SFD. I am just struggling doing the bending moment diagram and don't know how...
Homework Statement
Hi I need help with drawing a bending moment diagram for this structure. All joints are rigid and it's fixed to the ground. I'm really struggling with this. I initially started with the horizontal beam (statically indeterminate) and found that the moments at the ends were...
Homework Statement
There is a beam, say length L, with a force F UP on the left built-in support and a CLOCKWISE moment. The right side has a force, F, DOWN and a COUNTERCLOCKWISE moment
i.e F up, cw moment -------------------------------------------------------------F down, ccw moment...
Can someone help me with determining the free body force diagram, and hopefully I can go on from there.
Homework Equations
M = F.dI found T = 500N
The answers are shear force = -62.5N , Moment = 64.4 Nm , Tension = 500N
Hi,
For my engineering project for college I am designing a rotating table/steel frame structure for supporting a mild steel panel which weighs 180kg. My previous experience with UDL's has only been in using a 2D beam like situation to calculate how the load is spread, bending of the beam and...
i am trying to find the pure bending moment of this beam
1. Homework Statement
simply supported solid beam 3m long W=100mm D=200mm with a UDL of 2tonnes/m and a point load in the centre of 200N
Homework Equations
is the pure bending moment at the peak of the bending moment diagram
i have...
I am a student currently working on a group project regarding the design of a gooseneck for a sub-sea pipeline. For those not familiar, a gooseneck is essentially a 45 degree bent pipe, to be used as a connection between a manifold and a longer pipeline (a flexible riser). part of this design is...
Hi everyone here is the question I'm having trouble with. included is my attempt and the question.
1. The Reactions at A (Assuming the boom weight is negligible)
2. The shear force and bending moment along the boom length and indicate the point of maximum bending moment.
3. The maimum bending...
Hi,
I am designing a beam to replace a load bearing wall.
I have produced 2 separate UDL diagrams which, one for floor load and one for wall load. I am trying to find shear force and bending moment as in one for the total of the two diagrams. I know how to do it if the loads are spread...
Homework Statement
I have a 5m long simply supported beam, with supports at points 0m and 5m. There's a UDL of 10kNm^-1 from 0m to 4m. It has downward forces acting at 2m (10kN) & 4m (15kN). I need to sketch a bending moment diagram to determine the position & value of the max bending...
This is a problem from Michael Lindeburg's FE Review Manual. It is in Chapter 20, Number 11 if you have the book.
PROBLEM:
There is a picture of a cantilever 2 m in length attached to a wall. There is a force applied at a 30 degree angle from the horizontal at the free end of the beam...
In the bottom left, why does the BM diagram start at -4kNm rather than 4kNm? I understand that if you make a cut you yield this result but if you don't make a cut how would you know whether it starts at -4kNm or 4kNm?
Thanks
[b]1. Homework Statement [b/]
A timber beam, with rectangular cross section (h × b) is reinforced with additional full width (b) steel plates. There is a plate of thickness t securely connected on the bottom and a plate of thickness 2t on the top of the timber to ensure composite action in...
Hi,
I am looking to use My/I to find the maximum bending stress for a beam
My problem is I don't know how to find the bending moment- the reason why:
The beam has more than one point of load, aside from the reaction points. (Pin joint cantilever beam)
The sum of all moments equal 0...
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
Problem: For the beam according to the image, solve graphical and analytical:
1.) Reactions in the supports,
2.) Bending moment diagram,
3.) Maximum bending moment
Given variables:
F = 14 kN
q = 40 N/cm
a = 100 cm
b = 55 cm
l = 180 cm
Homework Equations
This is a Beam...
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
I have attached a diagram
Homework Equations
14 + Va -32 + Vb -15=0??
or Vb=-15?
The Attempt at a Solution
The reason why I cannot attempt this problem is that I'm not sure whether it is valid that there can be a point load at Support B or whether they are...
Homework Statement
Recently I am undergoing such experiment in school
and my lecturer asked that, as if any changes in the distance(vertically) will there be changes in the force/reading of it?Assuming there is no changes in anything else except the position of the tools.
(Since the "Cell...
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...
Hello
I just joined this forum and this is my first thread here. This is my assignment question. I'm supposed to find elastic positive bending capacities around the horizontal axes for the following cross section shown in pic. The elastic stress in tension is 10 ksi and in compression is 15...
The calculation for the maximum bending moment is to be verified
experimentally using a strain gauge bonded to the outer surface of the
beam, at the point where the maximum bending moment occurs.
Derive an equation which could be used to calculate the bending
moment from the measured strain...
Homework Statement
Hollow circular beam with outside diameter 350mm, and wall thickness of 60mm
E=60 Gpa
beam length 2m
Force applied to beam at midpoint of beam (1m from each end)
F=200KN
Force applie from the Top down, Ra , and rb from bottom up
Homework Equations...
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
The calculation for the maximum bending moment is to be verified
experimentally using a strain gauge bonded to the outer surface of the
beam, at the point where the maximum bending moment occurs.
Derive an equation which could be used to calculate the bending...
Homework Statement
I'm trying to find the bending moment on beam CE in the attached problem. There is loading from all 3 floor slabs. I'm struggling to figure out the maximum bending moment at mid-span because the 2 distributed loads from the 2 smaller slabs are not uniform as such...
Homework Statement
Simply supported beam, all values known now I believe as this is the last question on it. I have spent a long time trying to work this out:
The bending moment is to be verified using a strain gauge bonded to the outer surface of the beam at the point of max bending...
I have a 1.5m beam with a uniformly distributed load of 57kn/m acting over 1.2m of the beam (0.6m from the centre of the beam in both directions). I require the maximum moment and the deflection of the beam.
I know the maximum moment equation wl^2/8 and the deflection formula 5wl^4/384EI...
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 +...
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...
Hi
Please can someone help me calculate the minimal thickness and width that will resist bending in each of the aluminium beams that are fixed on one end and support a 0.0013734 Newton load on the other.
The axis passes through the center of the octagonal shape and goes into the page...