**Problem Description:**The sign is supported by a hollow structural tube with an outer diameter of 15 inches and a wall thickness of 0.5 inches. Given the weight and the design wind load, both acting at the center of the sign, determine the state of stress at points \( A \) and \( B \).**Instructions:**- Write each state of stress in the form of a tensor, observing the \( x-y-z \) coordinate system shown.- Sketch the stresses acting on a differential element at each point.**Diagram Explanation:**The 3D diagram illustrates a sign positioned horizontally at the top of a vertical structural tube. The sign's center experiences two loads:1. **Vertical Load:** 3 kips acting downward at the center of the sign.2. **Horizontal Load:** 3 kips acting horizontally at the center, simulating wind pressure.The tube's base is mounted on a fixed support on the ground. The coordinate system is aligned such that:- The \( x \)-axis is horizontal, aligned with the direction of the horizontal wind load.- The \( y \)-axis is horizontal and perpendicular to the wind load (depth direction).- The \( z \)-axis is vertical, aligned with the direction of gravitational pull and vertical load.**Dimensions:**- **Height of Tube:** 8 feet- **Distance from Tube to Edge of Sign (on x-axis):** 9 feet- **Distance from Tube to Edge of Sign (on y-axis):** 3 feetGiven this setup, the stresses at points \( A \) and \( B \) need to be calculated. Each point pertains to specific locations on the tube and sign where the stress will be analyzed and drawn as a tensor.

Answered: Image /qna-images/answer/c7ebc966-dd81-40ca-b7ad-f3176fe3c1b1.jpg

The sign is supported by a hollow structural tube of 15 in. outer diameter and 0.5 in. wall thickness. Given the weight and the design 3 ft wind loading both acting at the center of the sign, determine the state of stress at points a and 6. Write each state of stress in the form of a tensor, observing the r y-z cordinate system shown, and sketch the stresses acting on a differential element at each point. s kips 3 kips" 3 ft

The sign is supported by a hollow structural tube of 15 in. outer diameter and 0.5 in. wall thickness. Given the weight and the design 3 ft wind loading both acting at the center of the sign, determine the state of stress at points a and 6. Write each state of stress in the form of a tensor, observing the r y-z cordinate system shown, and sketch the stresses acting on a differential element at each point. s kips 3 kips" 3 ft

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Similar questions

The inner radius of the pressurized cylindrical tank is 1.25 m and the wall thickness is 15 mm. It is made of steel plates welded along the seam açılı θ = 60 angles. If the pressure vessel is subjected to an internal pressure of P = 10 MPa, find the normal and shear stress components along this seam. Also, calculate the principal stresses for the given loading condition.
The joint is subjected to the axial member force of 6 kips. Determine the average normal stress acting on sections AB and BC. Assume the member is smooth and is 1.5 in thick. Tip: You can determine the forces by making a FBD in a concurrent point.
a) The built-up shaft consists of a pipe AB and solid rod BC. The pipe has an inner diameter of 20 mm and outer diameter of 28 mm. The rod has a diameter of 12 mm. Determine the average normal stress at points D and E and represent the stress on a volume element located at each of these points. Ans: 0,=13.3 MPa, Oz=70.7 MPa. 6kN 8kN 6KN E
5. Two forces act on the solid circular rod (r=.005 m) as shown. Using Mohr's circle, determine the principal stresses and the absolute maximum in plane shear stress at point A. 100 mm 150 mm 500 N V 300 N -•64- o (M Pa) 6.l12 -64 T (MPa) Taug = 6.l12 R=Vo2037+ 3.0562 =3.062 M Pa O; = R+ Jarg; 0,=60119MPQ t 3.0 0056 M Pa T,= Oava - R; 2 0068 MPaa Therefore Tabs =R= 3.062MPaa max
Determine the principal stresses in the beam at point A. Specify the orientation of the element representing the principal stresses. 150 kN 60 kN 50 mm A A [150 150 mm 60 mm 0.5 m -0.25 m-
The closed thin-walled tank has an inner radius of r and wall thickness t and contains a gas of pressure of p. The state of stress at point "a" on the surface of the tank is represented by stress components with an unknown stress element rotation angle of 0. Note that, the two normal stress components for x'y' system (note: not xy system!) are known: ox, = 120 MPa and Oy = 180 MPa, but the shear stress component (T,) is unknown. Determine: (1) the principal stresses at point a ; (2) Tx'yı ; (3) rotation angle of 0 . y 180 MPa 120 MPа х 0 = ? a Tyy = ? tank cross section stress state at point a
NEED ASAP THANK YOU
Determine the equivalent state of stress on an element if it is oriented 40° clockwise from the element shown. Ox' = ay' = Tx'y' = 70.2 Mpa -53.8 Mpa 205.6 Mpa + 35.5 Mpa 150 Mpa 32.5 Mpa -70.5 Mpa 64.5 Mpa -100.2 Mpa 100.2 Mpa 50 Mpa 250 Mpa
The solid cylinder having a radius r is placed in a sealed container and subjected to a pressure p. Determine the stress components acting at point A located on the center line of the cylinder. Draw Mohr's circles for the element at this point. A
The solid bar has a diameter of 50 mm. The two forces and the torque Tx are acting at the origin of the x-y-z coordinate system which is coincident with the centroid of the cross-section of the bar; the 1800 N force is acting in the y-z plane and torque Tx is acting about the x-axis. Determine the state of stress at points A and B, and show the respective stress components acting on differential elements located at these two points. 200 mm/ y 200 mm 1200 N Tx = 40 N.m %3D 1800 N
The pressure tank shown has an outside diameter of 100 mm and a wall thickness of 10 mm. Determine the absolute maximum shear stress at point H on the inner surface if the internal gauge pressure is 1.25 MPa and the applied torque is 375N•m. Show the stress state in matrix form and calculate eigenvalues.
The solid rod has a radius of 30 mm. Determine the state of stress at points a and b. Write each state of stress in the 500 mm form of a tensor, observing the z y-z coordinate system shown, and sketch the stresses acting on a differential element at cach point. e= 30 mm 10 kN