A beam is subjected to equal 21.7 kip-ft bending moments. Assume t₁ = t₂=tw- 3 in., d = 15 in., b₁ = 6 in., and b₂ = 8 in. The cross- sectional dimensions of the beam are illustrated. Determine: (a) the distance y to the centroid (measured from the bottom), the moment of inertia l about the z axis, and the controlling secti modulus S₂ about the z axis. (b) the bending stress at point H (positive if tension, negative if compression). (c) the bending stress ok at point K(positive if tension, negative if compression). (d) the maximum bending stress max produced in the cross section (positive if tension, negative if compression). M M "1 tw b₁ H

A beam is subjected to equal 21.7 kip-ft bending moments. Assume t₁ = t₂=tw- 3 in., d = 15 in., b₁ = 6 in., and b₂ = 8 in. The cross- sectional dimensions of the beam are illustrated. Determine: (a) the distance y to the centroid (measured from the bottom), the moment of inertia l about the z axis, and the controlling secti modulus S₂ about the z axis. (b) the bending stress at point H (positive if tension, negative if compression). (c) the bending stress ok at point K(positive if tension, negative if compression). (d) the maximum bending stress max produced in the cross section (positive if tension, negative if compression). M M "1 tw b₁ H

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

1. Determine the maximum positive bending moment in the beam in kN-m. 2. Determine the maximum shear in kN. 3. Determine the location of Neutral Axis, in mm, from the top of the section. 4. Determine the location of the centroid, in mm, from the left of the section. 5. Determine the moment of inertia of the section in x106 mm4 . 6. Determine the moment capacity of the section, kN-m, if fbcap≤300 MPa. 7. Determine the maximum flexural stress experienced by the beam in MPa. 8. Determine the maximum shearing stress in MPa at Neutral Axis. 9. Determine the spacing of rivets in mm. 10. Determine the maximum flexural stress at 1 m from the support at D to E in MPa.
If Mz = 200 kip-ft, find the magnitude of the bending stress at a point H. For the beam cross section, assume a = 7 in. b = 10 in. d = 26 in. r = 3.5 in. The centroid of the cross section is located 11.96 in. below the uppermost surface of the beam. The moment of inertia about the z axis is 12903 in.4.
A beam is subjected to equal 19.1 kip-ft bending moments. Assume ty = t2 = ty= 1 in., d = 10 in, by= 4 in., and b2 = 7 in. The cross- sectional dimensions of the beam are illustrated. Determine; (a) the distance y to the centroid (measured from the bottom), the moment of inertia & about the z axis, and the controlling section modulus S, about the z axis. (b) the bending stress O, at point H (positive if tension, negative if compression). (c) the bending stress y at point K (positive if tension, negative if compression). (d) the maximum bending stress, Omax produced in the cross section (positive if tension, negative if compression).
5. A beam with the cross-sectional shape shown below is to carry a bending moment of +12 in *kip around the centroid z axis. [Answer: centroid 0.94353" from bottom, 1 = 0.5876 in4, o, = 22.6 ksi Compression] a. Find the centroid and moment of inertia of the beam around the centroid z-axis. b. Find the bending stress at points A, B, C and D on the cross-section. 0.38 in 1.1 in J0.57 in y 0.38 in 1.82 in C B A Tö 0.38 in
A beam is subjected to equal 14.3 kip-ft bending moments. Assume t₁ = t₂=tw 2 in., d = 14 in., b₁ = 6 in., and b₂ = 9 in. The cross-sectional dimensions of the beam are illustrated. Determine: (a) the distance y to the centroid (measured from the bottom), the moment of inertia l about the z axis, and the controlling section modulus S₂ about the z axis. (b) the bending stress o at point H (positive if tension, negative if compression). (c) the bending stress og at point K (positive if tension, negative if compression). (d) the maximum bending stress max produced in the cross section (positive if tension, negative if compression). M Answers: (a) y = 6.28 (b) 6 = (c) ok = (c) Omax = i in.³. M in., ₂ i psi. psi. psi. Save for Later Last saved 7 minutes ago. Saved work will be auto-submitted on the due date. Auto-submission can take up to 10 minutes. b₁ b₂ Cross section H in.4.S₂ = Attempts: 0 of 1 used Submit Answer
A beam is subjected to equal 12.1 kip-ft bending moments. Assume t = t2= tw= 2 in., d = 12 in., b1 = 5 in., and b2 = 7 in. The cross- sectional dimensions of the beam are illustrated. Determine: (a) the distance y to the centroid (measured from the bottom), the moment of inertia l, about the z axis, and the controlling section modulus Sz about the z axis. (b) the bending stress oy at point H (positive if tension, negative if compression). (c) the bending stress ox at point K (positive if tension, negative if compression). (d) the maximum bending stress omax produced in the cross section (positive if tension, negative if compression). M M d K t2 b2 Cross scction Answers: (a) y = i in., Iz = i in.4, Sz = i in.3. (b) GH = i psi. (c) OK = i psi. (c) Gmax i psi.
A beam having a tee-shaped cross section is subjected to equal 18 kN-m bending moments, as shown. Assume bf = 125 mm, tf = 25 mm, d = 185 mm, tw = 20 mm. The cross-sectional dimensions of the beam are also shown. a.Determine the centroid location (measured upward from the bottom), in mm rounded to the nearest tenths. b.Determine the moment of inertia about the z axis. Express your answer in (106) mm4 rounded to three significant figures. c. Determine the controlling section modulus about the z axis. Express your answer in (103) mm3 rounded to three significant figures. d. Determine the controlling section modulus about the z axis. Express your answer in (103) mm3 rounded to three significant figures.
A beam having a tee-shaped cross section is subjected to equal 13 kN-m bending moments, as shown. Assume bf = 95 mm, tf = 25 mm, d = 165 mm, tw = 40 mm. The cross-sectional dimensions of the beam are also shown. Determine(a) the centroid location (measured upward from the bottom), the moment of inertia about the z axis, and the controlling section modulus about the z axis.(b) the bending stress at point H (positive if tensile and negative if compressive).(c) the maximum bending stress (positive if tensile and negative if compressive) produced in the cross section.
A beam is subjected to equal bending moments of M, = 3000 N-m. The cross-sectional dimensions areb = 190 mm, c = 30 mm, d = 73 mm, and t = 7 mm. Determine: (a) the centroid location (measured with respect to the bottom of the cross-section), the moment of inertia about the z axis, and the controlling section modulus about the z axis. (b) the bending stress at point H. Tensile stress is positive, while compressive stress is negative. (c) the bending stress at point K. Tensile stress is positive, while compressive stress is negative. (d) the maximum bending stress produced in the cross section. Tensile stress is positive, while compressive stress is negative. M, M2 H d (typ) K b Answer: (a) y= mm 1z = i mm4 S= i mm3 (b) ƠH = MPа ( c) σκ-1 MPа (d) Omax= MPa
The cross-sectional dimensions of the beam are a = 4.8 in, b = 6.5 in, d=4.5 in, and t= 0.30 in. The internal bending moment about the z centroidal axis is Mz= -3.90 kip-ft. Answers both in psi
Determine the second moment of area (Iyy) about the centroidal y-axis for a solid homogeneous beam section where the dimensions are b = 125 mm and d = 275 mm. Give your answer in m4 to 2 significant figures.
1. 2. 10 mm 10 mm 3. 5 mm 100 mm A beam section as shown in the sketch is subjected to a bendingmoment of Mx = 4 kN.m and a shear force of V = 2.5KN. 50 mm 100 mm Calculate the position of the centroid and the the second moment of area of the section about the sentroid horizontally. Draw the bending stress distribution through the height of the beam by calculating the bending stress at the critical positions Draw the shear stress distribution trough the height of the beam by calculating the shear stress below the flanges and at the centroid. 4. Draw the stress condition below the flanges, at the centroid and at the top and bottom of the beam.(7) 5. Draw the shearflow through the section. Show calculations