Problem 7: Non-circular cross section shaft related to torque problems are difficult to be solved using the basic theory as for circular shaft. Your role is to make use of FAE to analyze the stress in squared cross section shaft shown in Figure.5. g= 6.5(106) N/cm² 0 = 0.035 deg 0.5 cm 0.5 cm Fo.5 cm 0.5 em- Figure.5: Squared cross section shaft applied to torque T as 3D model Provide justified explanation and recommendations to simplify the problem from three-dimensional (3D) to two- dimensional (2D). b. If the governing boundary value problem equation of such a problem can be given by: а. + 2g0 = 0, dy? $(x,y) at boundary is 0 dx2 where g is the shear modulus and 0 is angle of twist for each element, respectively. Make use of the 2D layout that is demonstrated in Figure.5, perform the followings: 1. Justify your mesh/grid division for this problem in terms of complication of geometry or materials compositions.

Problem 7: Non-circular cross section shaft related to torque problems are difficult to be solved using the basic theory as for circular shaft. Your role is to make use of FAE to analyze the stress in squared cross section shaft shown in Figure.5. g= 6.5(106) N/cm² 0 = 0.035 deg 0.5 cm 0.5 cm Fo.5 cm 0.5 em- Figure.5: Squared cross section shaft applied to torque T as 3D model Provide justified explanation and recommendations to simplify the problem from three-dimensional (3D) to two- dimensional (2D). b. If the governing boundary value problem equation of such a problem can be given by: а. + 2g0 = 0, dy? $(x,y) at boundary is 0 dx2 where g is the shear modulus and 0 is angle of twist for each element, respectively. Make use of the 2D layout that is demonstrated in Figure.5, perform the followings: 1. Justify your mesh/grid division for this problem in terms of complication of geometry or materials compositions.

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Q: A tapered circular rod of diameter varying from 20 mm to 10 mm is connected to another uniform…

Q: Let strain rosette shown in figure computed the values of strains at the built in end and in NA of…

Q: Situation B. An object is supported by two wires as shown below. The stress in either wire is not to…

A: Given:- Maximum stress in the wire = 30 ksi Free body diagram:-

Q: Let strain rosette shown in figure computed the values of strains at the built in end and in NA of…

Q: 2. The bar is subjected to forces shown in the figure. If it has the original dimensions length 1 =…

A: Strain is a fundamental properly due to which stresses are developed Strain at different axis due to…

Q: Question #3 For the beam shown in Figure 3, a) Determine the maximum compressive bending stress in…

Q: b) In Figure Q1, an axial load P is applied at point D that is 5 mm from the geometric axis of the…

A: Iy = π/64(1204 - 1124) = 2.455 x 106 mm4 L = 2.8 m = 2800 mm

Q: A steel rod (E = 200 GPa) is fixed at A and subjected to the loading shown in the figure. The…

Q: A 20 mm diameter shaft of length 500 mm is fixed at one end. A torque, T is applied at its free end.…

A: Given: Length of shaftL=500 mm Diameter of shaftD=20 mm Angle of twistθ=45°=π4 rad Linear…

Q: Plane Stress In the stress element given in Figure 3, WITH MOHR CIRCLE; (a) Determine the principal…

A: Principal stresses: Principal stresses are the utmost and minimum value of normal stresses on a…

Q: Let strain rosette shown in figure computed the values of strains at the built in end and in NA of…

Q: (2) (1) Pe с B L2 Li

Q: C Situation 7 - A rectangular bar 50 mm x 75 mm in cross-section is subjected to a tensile force P =…

Q: The bending moment Mx affects the cross section of the beam given in Figure 4. Beam cross section…

Q: A solid shaft with diameter D mm and L mm long is supported between two bearings at the ends as…

A: "Since you have posted a question with multiple sub-parts. We will solve the first three sub-parts…

Q: 3. Determine the strain energy of the beam shown in the figure below. The cross-section of the beam…

Q: Question 8 In order to determine the shear stress at A, using the shear stress formula, the…

A: To find the thickness, d for top flange and d for the portion below the flange and above A.

Q: Determine the orientation of principal planes of stress. Enter your answers in degrees to three…

Q: 1. Determine the "t" parameter of cross section of the beam in the figure below se Navier formula)…

A: A structure is a structure or an assemblage of related elements that is used to aid a pile.…

Q: 1. The cross-sectional area of bar ABCD is "X" mm². Determine the maximum normal stress in the bar.…

A: The formula to calculate the normal stress is given by, σ=PA ...1 Draw the…

Q: A piece of rubber as shown in figure is subjected to the displacements of 2 mm and 3 mm at corner B…

A: A piece of rubber subjected to displacements as shown- To Find- The average shear strain at corner…

Question

Problem 7: Non-circular cross section shaft related to torque problems are difficult to be solved using the basic
theory as for circular shaft. Your role is to make use of FAE to analyze the stress in squared cross section shaft
shown in Figure.5.
g= 6.5(10°) N/cm²
8 = 0.035 deg
0.5 cm
0.5 cm
L0.5 cm- 0.5 cm
Figure.5: Squared cross section shaft applied to torque T as 3D model
Provide justified explanation and recommendations to simplify the problem from three-dimensional (3D) to
two- dimensional (2D).
b. If the governing boundary value problem equation of such a problem can be given by:
а.
+
dy2
+ 2g = 0,
$(x,y) at boundary is 0
dx2
where g is the shear modulus and 0 is angle of twist for each element, respectively. Make use of the 2D layout that
is demonstrated in Figure.5, perform the followings:
1. Justify your mesh/grid division for this problem in terms of complication of geometry or materials
compositions.

2. Justify the simplification of this problem to only modeling one-eighth of the cross section
3. Construct two-dimensional elements grid (i.e., grid/mesh region), make the correct numbering and labeling
of the nodes and elements.
4. Construct grid/mesh information table
5. Calculate the nodal stress values, o and the distribution through each element using element matrices-
Galerkin method.
6. Find shear stress components t, and ty, if you have been given that:
dø
Ty=
dø
Tx =
dy
dx

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, civil-engineering and related others by exploring similar questions and additional content below.

Similar questions

Rigid bar ABCD is supported by two bars as shown in Figure P2.7. There is no strain in the vertical bars before load P is applied. After load P is applied, the normal strain in bar (2) is measured as –3,300 um/m. Use the dimensions L1 = 1,600 mm, L2 = 1,200 mm, a = 240 mm, b = 420 mm, and c = 180 mm. Determine:(a) the normal strain in bar (1).(b) the normal strain in bar (1) if there is a 1 mm gap in the connection at pin C before the load is applied.(c) the normal strain in bar (1) if there is a 1 mm gap in the connection at pin B before the load is applied.
The curved bar shown in the figure has a rectangular cross section of 50x75 mm and an internal radius of 125 mm. For a force F = 1200 N, determine: a-) the normal stress at point A. b-) the normal stress in point B.
What is the area of the tube? What is the total length of the median line? What is the area of the tube? What is the total length of the median line? What will be the result shear flow of the object?
Help please!
Determine the equivalent state of stress on an element if it is oriented 50° counterclockwise from the element shown. Assume that σ = -13 ksi and Txy = -19 ksi. Solve the problem using ox Mohr's circle. σχ F Part A Determine the normal stress ox'. Express your answer in kilopounds per square inch to three significant figures. ANSWER: = Tap image to zoom ksi Part B Determine the normal stress Øy'. Express your answer in kilopounds per square inch to three significant figures. ANSWER:
Solve for the equivalent force on an inclined surface. Look at Figure A.1 below. You will see a triangular block cut from a stress block with known stresses. The size and thickness of the block does not matter, so we will assume the area of the sloped inclined surface is A (sorry that it is the same symbol as the Point). If the area of the sloped surface is A, then the area of the other two surfaces is A cos (Theta) and A sin (Theta). First, draw a FBD of the block by multiplying each stress (normal and shear, known and unknown) by their associated area (in terms of A). Second, break the stress vectors on the side and bottom into components along the x’ and y’ axes. Third, sum the forces in the y’ direction and set them equal to zero (you should now be able to cross out the value of A for each term in your equation resulting in an equation with only one unknown, the normal stress in the y’ direction). Solve for the value of the normal stress in the y’ direction. Now repeat for…
Solve the Problem, Thanks
For the stress state listed below: Ox = 85 MPa Oy = -62 MPa Txy = -28 MPa 1. Use software of your choice (Excel, Matlab, etc.) and plot Mohr's circle. 2. Using a protractor, or graphically using computer code, measure the rotations necessary for the principal stress plane and the plane of maximum shear.
The tubular shaft shown in the figure has an external diameter of D = 5.5 in. and an internal diameter of d = 2.75 in. and is subjected to a torque of T= 6825 lb-in. [theta = 31 deg] What is the shear stress at A?in psi What is the shear stress at B?in psi What is the shear stress at C? What is the shear stress at D?in psi What is the shear stress at E?in psi