The state of stress at a point in a member is shown on the rectangular stress element in (Figure 4) where themagnitudes of the stresses are |0x| = 171 MPa and | Txy| = 57 MPa.Determine the state of stress on an element rotated 100° clockwise from the element shown.Express your answers, separated by commas, to three significant figures.▸ View Available Hint(s)σx' =, σy' =,Tx'y' =SubmitΜΕ ΑΣΦvec?MPa, MPa,MPa Figure>4 of 6>

1. Deactivate the voltage source (V1):Set the voltage source V1 to zero (0 V). This means the…

Answered: The state of stress at a point in a…

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

6. At a point in a structural member subjected to plane stress, there are normal and shearing stresses on horizontal and vertical planes as shown in Fig. 3. (a) Construct a Mohr's circle and use it to calculate principal stresses and maximum shearing stress at the point. (b) Use the Mohr's circle to determine nomal stress o,and shearing stress „ on the plane AB. You must indicate the n-t axes on your Mohr's circle and use geometry to find answers. 50 MPa B25 MPa – 30 MPa
Mohr’s circle is shown for a point in a physical object that is subjected to plane stress. Each grid square is 360 psi in size. (a) Determine the stresses σx, σy, and the magnitude of τxy and show them on a stress element. (b) Determine the principal stresses and the magnitude of the maximum in-plane shear stress acting at the point and show these stresses on an appropriate sketch (e.g., see Figure 12.15 or Figure 12.16).
Mohr's circle is shown for a point in a physical object that is subjected to plane stress. Each grid square is 13 MPa in size. (a) Determine the stresses oy, Oy, and the magnitude of Tyy and show them on a stress element. (b) Determine the stresses on, Ot, and the magnitude of Tpt and show them on a stress element that is properly rotated with respect to the x-y element. The sketch must include the magnitude of the angle between thex and n axes and an indication of the rotation direction (i.e., either clockwise or counterclockwise). Answer: MPа (a) ox = -52 MPa Oy = 110.0720 110.0720 MPа Txy = MPa (b) On = 58.30865 MPа Ot = -162.30865 MPa Tnt = 110.3086
7.2-2 Solve the preceding problem for an element in plane stress subjected to stresses o, = 100 MPa, o, = 80 MPa, and 7y = 28 MPa, as shown in the figure. Determine the stresses acting on an element oriented at an angle 0 = 30° from the x axis, where the angle 0 is posi- tive when counterclockwise. Show these stresses on a sketch of an element oriented at the angle 0. 80 MPa 28 MPa 100 MPa
Mohr's circle is shown for a point in a physical object that is subjected to plane stress. Each grid square is 780 psi in size. (a) Determine the stresses O, Oy, and the magnitude of Tyand show them on a stress element. (b) Determine the principal stresses and the magnitude of the maximum in-plane shear stress acting at the point and show these stresses on an appropriate sketch (e.g., see Figure 12.15 or Figure 12.16). y Answer: (a) ox = i psi Oy = psi Txy = psi (b) Op1 = i psi Op2 = i psi Tmax in-plane " i psi
The state of stress at a point is shown on the element. Enter your answers numerically separated by commas. ΥΠ ΑΣφ vec max min = ksi Submit Request Answer Figure Part B Determine the absolute maximum shear stress. ΑΣφ ve 2.5 ksi ksi Fabs mar= 4 ksi Submit Request Answer 5 ksi Provide Feedback 圓
Mohr’s circle is shown for a point in a physical object that is subjected to plane stress. Each grid square is 640 psi in size. (a) Determine the stresses σx, σy, and the magnitude of τxy and show them on a stress element. (b) Determine the principal stresses and the magnitude of the maximum in-plane shear stress acting at the point and show these stresses on an appropriate sketch (e.g., see Figure 12.15 or Figure 12.16).
Part C - Counterclockwise Rotation of a Stress Element Figure 5 of 6 The state of stress at a point in a member is shown on the rectangular stress element in (Figure 5) where the magnitudes of the stresses are |0z| = 13 ksi, Joy = 23 ksi, and |Tzy| = 12 ksi. Determine the state of stress on an element rotated 45° counterclockwise from the element shown. Express your answers, separated by commas, to three significant figures. • View Available Hint(s) Vol AEO I vec Or =, oy =, Tự'y = ksi, ksi, ksi Submit Pearson
Learning Goal: Part A - Orientation of the planes of maximum and minimum normal stress To determine the in-plane principal stresses and maximum shear stress along with their orientations and the average normal stress for an element in a given state of plane stress. Determine the orientation of the planes of maximum and minimum normal stress, 0p1 and 0,2, respectively. Use the value for Op2 that is negative. Then use this value to determine the value of Op1 Express your answers to four significant figures separated by a comma. The element of material below is subjected to the state of stress shown, where a = 120.0 MPa, b = 62.00 MPa. and c = 12.00 MPa (Figure 1) • View Available Hint(s) Πν ΑΣφ vec Opl, Op2 = Submit Figure 1 of 1 Part B - In-plane principal stresses a Determine the in-plane principal stresses for the element (as oriented in Part A), and calculate oj and o2 such that they correspond with 0pl and 0p2 Express your answers to four significant figures separated by a comma. >…
Principal stress: 01,2 Ox+0y tan20, = Txy 2 (Ox-0y)/2 2 maximum in-plane shear stress: Tmax *) : + Txy? tan20s -(0x-0y)/2 Ox+0y σανg Txy 2 The state of plane stress at a point is represented on the element shown in the figure below. (a) Determine the principal stresses acting on this point, and the corresponding orientation (angle). (b) Determine the maximum in-plane shear stress, and the corresponding orientation (angle). Also determine the associated average normal stress. Show your work. 57 MPa 28 MPa 42 MPa
For the stressed elements allocated to you, find the values and sketch the orientations:a) Maximum shear stress and the relative angle at which it occursb) Principle normal stresses and the relative angle at which they occurc) The stresses at a 40° rotation from the initial element orientationusing BOTH transformation equations AND Mohr’s circle.
5) Determine the absolute maximum shear stress for the stress shown. 5) Determine the absolute maximum shear stress for the stress shown.Problem 3 What is the absolute maximum shear stress for the stress element shown on the right? Problem 3 What is the absolute maximum shear stress for the stress element shown on the right? 90 ks 30 ks 40 ksi

SEE MORE QUESTIONS

Recommended textbooks for you

Structural Analysis

Civil Engineering

ISBN:

9781337630931

Author:

KASSIMALI, Aslam.

Publisher:

Cengage,

Structural Analysis (10th Edition)

Civil Engineering

ISBN:

9780134610672

Author:

Russell C. Hibbeler

Publisher:

PEARSON

Principles of Foundation Engineering (MindTap Cou…

Civil Engineering

ISBN:

9781337705028

Author:

Braja M. Das, Nagaratnam Sivakugan

Publisher:

Cengage Learning

Structural Analysis

Civil Engineering

ISBN:

9781337630931

Author:

KASSIMALI, Aslam.

Publisher:

Cengage,

Structural Analysis (10th Edition)

Civil Engineering

ISBN:

9780134610672

Author:

Russell C. Hibbeler

Publisher:

PEARSON

Principles of Foundation Engineering (MindTap Cou…

Civil Engineering

ISBN:

9781337705028

Author:

Braja M. Das, Nagaratnam Sivakugan

Publisher:

Cengage Learning

Fundamentals of Structural Analysis

Civil Engineering

ISBN:

9780073398006

Author:

Kenneth M. Leet Emeritus, Chia-Ming Uang, Joel Lanning

Publisher:

McGraw-Hill Education

Sustainable Energy

Civil Engineering

ISBN:

9781337551663

Author:

DUNLAP, Richard A.

Publisher:

Cengage,

Traffic and Highway Engineering

Civil Engineering

ISBN:

9781305156241

Author:

Garber, Nicholas J.

Publisher:

Cengage Learning

SEE MORE TEXTBOOKS