Problem 2.50 2.49. A bar of rectangular cross section 20 mm x 3 mm has a central hole of diameter6 mm. Find the maximum tensile stress if the bar is subjected to a tensile force of 5kN.2.50. The bar of Problem 2.49 is subjected to a bending moment M=1.8 Nm aboutthe more flexible bending axis. Find the maximum tensile stress near the hole.

Answered: Image /qna-images/answer/5e04e7a1-5655-479d-93f6-aac5a76fb554.jpg

Answered: 2.49. A bar of rectangular cross…

2.49. A bar of rectangular cross section 20 mm x 3 mm has a central hole of diameter 6 mm. Find the maximum tensile stress if the bar is subjected to a tensile force of 5 kN.

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter3: Torsion

Section: Chapter Questions

Problem 3.5.7P: -7 A steel tube (G = 11.5 x 106 psi) has an outer diameter d2= 2.0 in. and an inner diameter dt=1,5...

See similar textbooks

Similar questions

A solid rod has a diameter of e = 55 mm and is subjected to the loading shown. Let a = 200 mm , b = 210 mm , c = 310 mm , d = 250 mm , and P = 3.0 kN. Take point A to be at the top of the circular cross-section. (Figure 1) a. As shown (Figure 2), a cut was made at A to determine the resultant internal loadings. Determine the moment about the x-axis, Mx. b. To find the state of stress at A, the principle of superposition must be used. If the rod has a diameter of 55 mm, find the stress σA due to the normal force. c. To find the state of stress at A, the principle of superposition must be used. If the rod has a diameter of 55 mm, find the stress σA due to the bending moment about the x-axis. d. To find the state of stress at A, the principle of superposition must be used. Find the stress σA due to all of the loadings on the rod.
An extruded polymer beam is subjected to a bending moment M. The length of the beam is L = 620 mm. The cross-sectional dimensions of the beam are b1 = 39 mm, d1 = 82 mm, b2 = 23 mm, d2 = 23 mm, and a = 8 mm. For this material, the allowable tensile bending stress is 20 MPa, and the allowable compressive bending stress is 12 MPa. Determine the largest moment M that can be applied as shown to the beam.
A shaft is made of bronze at length AB and steel at length BC fixed at both ends. It is subjected to a concentrated torsional moment at the junction, The steel segment is 1 meter long. Assume that the Bronze has a diameter of 75mm, G = 35 GPa and τ = 60 MPa whilst the steel has a diameter of 50mm, G = 80 GPa, and τ = 80 MPa.a) What is the ratio of the length of steel to the length of bronze such that the allowable stress in each material is reached simultaneously.b) What is the reaction at the left end if the maximum torque is applied to the saft, in kN.
A steel bar of 0.8 x 2.5-in. rectangular cross section is subjected to two equal and opposite couples acting in the vertical plane of symmetry of the bar (Fig. . Determine the value of the bending moment M that causes the bar to yield. Assume σY= 36 ksi
Question 2) arm of Figure B from point x z plane, a horizontal angle of θ = 38 ° angled F = 29 kN force sized and C from the point z direction M = 17 kn.m acts a moment in size. The lengths of the arm are also given as L 1 = 1.5 m and L 2 = 1.1 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=0.015 m and the shear modulus of the arm material is also G = 78 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 = 38 ° angled F = 29 kN force sized and C from the point z direction M = 17 kn.m acts a moment in size. The lengths of the arm are also given as L 1 = 1.5 m and L 2 = 1.1 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=0.015 m and the shear modulus of the arm material is also G = 78 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.)
Two circular shafts, one hollow and one solid, are made of the same material and have the diameter shown below.If TH is the twisting moment that the solid shaft can resist, what is the ratio of Th to Ts
Consider the two-member frame shown. Suppose that w1 = 280 N/m , w2 = 450 N/m . Follow the sign convention. A) Determine the internal normal force at point E. NE = ? B) Determine the internal shear force at point E. VE = ? C) Determine the internal moment at point E. ME = ?
A rectangular steel block is 3 inches long in the x direction, 2 inches long in the y direction, and 4 inches long in the z direction. The block is subjected to a triaxial loding if three uniformly distributed forces as follows: 48 kips tension in the x direction, 60 kips compression in the y direction, and 54 kips tension in z direction. If v=0.30 and E=29x10^6 psi, determine the single uniformly distributed load in the x direction that would produce the same deformation in the y direction as the original loading. DetermineNormal strain in x, y & z direction.Elongation in x, y & z direction.
A rectangular steel block is 3 inches long in the x direction, 2 inches long in the y direction, and 4 inches long in the z direction. The block is subjected to a triaxial loading of three uniformly distributed forces as floows; 48 kips tension in the x directio, 60 kips compression in the y direction, and 54 kips tension in the z direction. If v = 0.30 and E = 29 x 106 psi, determine the single uniformly distributed load in the x direction that would produce the same deformation in the y direction as the original loading.
Determine the maximum positive normal bending stress that occurs in member ABC of the engine crane given the following information: Engine weight = 1500 lb Member ABC height (vertical cross sectional dimension) = 7 in Member ABC width (horizontal cross sectional dimension) = 1 in Express your answer to the nearest whole psi value. In your work, draw the shear and moment diagram for member ABC. For the question above, determine the maximum shear stress in member ABC that occurs between points A and B. Express your answer using the nearest whole psi value.
Figure Q2(b) shows the cross-section of a cantilever beam ABC. The beam is subjected to uniformly distributed loading and a concentrated force as shown in Figure Q2(c). Determine:(i) the second moment of area or moment of inertia for the cross-section about its neutral axis (NA)(ii) the internal bending moment and bending stress at section x-x as shown in Figure Q2(c) and at points P and Q of the cross section as shown in Figure Q2(b) of the beam and state whether the bending stress is in tension or compression.