A steel pipe with an outside diameter of 4.13 in. and an inside diameter of 3.69 in. supports the loadings shown. Assume x₁ = 16 in., x₂ = 6 in., Px = 3600 lb, Py = 1500 lb, P₂ = 2800 lb, and T = 2600 lb-ft. (a) Determine the normal and shear stresses on, Txy on the side of the pipe at point K. (b) Determine the principal stresses (0,1 > σ2) and maximum in-plane shear stress magnitude Tmax at point K, and show the orientation of these stresses in an appropriate sketch. H Answers: on = i Txy = Op1 = Op2 = Tmax= i i i i Pz ksi. ksi. ksi. ksi. ksi.

A steel pipe with an outside diameter of 4.13 in. and an inside diameter of 3.69 in. supports the loadings shown. Assume x₁ = 16 in., x₂ = 6 in., Px = 3600 lb, Py = 1500 lb, P₂ = 2800 lb, and T = 2600 lb-ft. (a) Determine the normal and shear stresses on, Txy on the side of the pipe at point K. (b) Determine the principal stresses (0,1 > σ2) and maximum in-plane shear stress magnitude Tmax at point K, and show the orientation of these stresses in an appropriate sketch. H Answers: on = i Txy = Op1 = Op2 = Tmax= i i i i Pz ksi. ksi. ksi. ksi. ksi.

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter7: Analysis Of Stress And Strain

Section: Chapter Questions

Problem 7.3.1P: The stresses acting on an element are x= 750 psi, y= 600 psi, and xy = 400 psi. Determine the...

See similar textbooks

Similar questions

.4 The stresses on an clement arc known to be sx= 120 MPa, sy= 100 MPa, and txy= 75 MPa. Find the stresses on an inclined section through the element at an angle ? = 45°.
2.) A steel pipe with an outside diameter of 110 mm and an inside diameter of 100 mm supports the loadings shown. Assume a = 460 mm, b = 250 mm, Px = 10 kN, Py = 10 kN, and Pz = 7 kN. (a) Determine the normal and shear stresses on the top surface of the pipe at point H. [σx = 0, σz = 64.6 MPa, τxz = -42.3 MPa]. (b)Determine the principal stresses and maximum in-plane shear stress magnitude at point H. [σ1 = 85.5 MPa, σ2 = -20.9 MPa, τmax = 53.2 MPa]
Q2. A mild steel shaft transmits ‘P’ kW at ‘N’ r.p.m. It carries a central load of 900 N and is simply supported between the bearings 2.5 metres apart. Determine the size of the shaft, if the allowable shear stress is 42 MPa and the maximum tensile or compressive stress is not to exceed 56 MPa. Power P in KW= 25 , Speed N in rpm=150
The torque shown in the figure is exerted on pulleys A, B and C. If it is known that the AB axis is solid and the BC axis is a tube with an outer diameter of 40 mm and an inner diameter of 20 mm, determine the maximum shear stress on the AB axis and on the BC axis.
2. An equilateral triangle pipe, as shown in the figure has a uniform thickness of 1.5 mm. The length of the pipe is 2.0 m, and the value of maximum shearing stress is 50 MPa. If G = 30 GPa, determine: a. The value of torque b. The value of angle of twist Show complete solution with FBD
A bar of rectangular section shown in is subjected to stresses σx, σy and σz in x, y and z directions respectively. Show that if sum of these stresses is zero, there is no change in volume of the bar.
A circular steel tube of length L = 1.0 m is loaded by torques T a) If the inner radius of the tube is r1 = 45 mm and the measured angle of twist betweenthe ends is 0.5°, what is the shear strain γ1 (in radians) at the inners surface? b) If the maximum allowable shear strain is 0.0004 rad and the angle of twist is to bekept at 0.45° by adjusting the torque T, what is the maximum permissible outer radius(r2)max?
Direct stresses of 160N/mm tensile and 120 N/mm compressive exist on two perpendicular planes at a certain point in a body. They are also accompanied by shear stresses on the planes. The greatest principal stress at the point due to these is 200 N/mm?. a) What must be the magnitude of the shearing stresses on the two planes? b) What will be the maximum shearing stress at the point?
A composite square member of varying sizes is subjected to axial forces along its centerline, as shown. The members' cross-sectional dimensions, from smaller to larger, are 50 mm ´ 50 mm, 75 mm ´ 75 mm, and 100 mm ´ 100 mm, respectively. (a) What are the normal stresses (in MPa) induced in the bar material at Section A-A, Section B-B, Section C-C? (b) What are the changes in the axial (4.28 ft), width (100mm), and thickness (100 mm) direction (in mm), at Section C-C? Assume n = 0.25 and E = 200,000 MPa., 1 ft = 0.3048 m
Question 2)  arm of Figure  B  from point x z  plane, a horizontal angle of θ = 44 ° angled F = 26 kN size and a force  C  at the point   z  in the direction of M = 18 kn.m acts a moment in size.   The lengths of the arm are also given as  L 1 = 1.6 m  and  L 2 = 1.3 m  . It is desired to determine the stress state of point A on the aa section taken from the arm. The radius r of the section  is  r=0.029 m  and the shear modulus of the sleeve material is also G = 79 Gpa . According to this; Question 2-A)     Find the shear stress at point A due to the  shear force . (  Write your result in  MPa .) Question 2-B)  Find the shear stress due   to the torsional moment at point A. (  Write your result in  MPa .) Question 2-C) Find the normal stress caused by the normal force   at point A  (  Write your result in  MPa .) Question 2-D) Find the normal stress  caused by the bending moment   at point A. (Your result  MPa  in the size of  your font.)
Question 2)  arm of Figure  B  from point x z  plane, a horizontal angle of θ = 44 ° angled F = 26 kN size and a force  C  at the point   z  in the direction of M = 18 kn.m acts a moment in size.   The lengths of the arm are also given as  L 1 = 1.6 m  and  L 2 = 1.3 m  . It is desired to determine the stress state of point A on the aa section taken from the arm. The radius r of the section  is  r=0.029 m  and the shear modulus of the sleeve material is also G = 79 Gpa . According to this; Question 2-A)     Find the shear stress at point A due to the  shear force . (  Write your result in  MPa .) Question 2-B)  Find the shear stress due   to the torsional moment at point A. (  Write your result in  MPa .) Question 2-C) Find the normal stress caused by the normal force   at point A  (  Write your result in  MPa .)
Question 2)  arm of Figure  B  from point x z  plane, a horizontal angle of θ = 44 ° angled F = 26 kN size and a force  C  at the point   z  in the direction of M = 18 kn.m acts a moment in size.   The lengths of the arm are also given as  L 1 = 1.6 m  and  L 2 = 1.3 m  . It is desired to determine the stress state of point A on the aa section taken from the arm. The radius r of the section  is  r=0.029 m  and the shear modulus of the sleeve material is also G = 79 Gpa . According to this; Question 2-C) Find the normal stress caused by the normal force   at point A  (  Write your result in  MPa .) Question 2-D) Find the normal stress  caused by the bending moment   at point A. (Your result  MPa  in the size of  your font.)