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 b2 Cross scction Answers: (a) ỹ = in., Iz = i in.4, Sz = i in.3. i (b) GH i psi. (c) oK = i psi. (c) Ơmax i psi.

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 b2 Cross scction Answers: (a) ỹ = in., Iz = i in.4, Sz = i in.3. i (b) GH i psi. (c) oK = i psi. (c) Ơmax i psi.

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

Can you please explain clearly on how to calculate that maximum bending moment.
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 simply supported beam of dimension 11.5 m x 45 mm x 75 mm. It carries a uniformly distributed load of 450 kN/m for entire span. Determine (a) Maximum stress due to bending and (b) Young's modulus of the material used for the beam, if it deflects 125 mm maximum at the mid of the span. Also find the maximum slope in the beam. Moment of inertia of the cross section of the beam in m4 = Young's modulus of the beam material in MPa is = Maximum bending stress due to bending in MPa is = The slope at the supports of beam in radians is =
Dont forget to draw the FREE BODY DIAGRAMS ALSO PLEASE! (:
Question 3 a. b. Calculate the second moment area of the section shown about an axis Y - Y through the centroid. 100 2.23. 120 mm 20 mm 20mm X ➜ [20mm Calculate the radius of curvature of the neutral axis when a bending moment of 25 KNm is acting on the section. E= 206 GPa
The figure shows an angle beam composed of two bars with thickness 69 mm. Locate the centroid (Y-bar, in mm.), d = 21 mm. from the topmost. Given: A = 447 mm. B = 402 mm. Id A * * B
Please help. Do not just guess. Prove your answer. I will give a good feedback. thank you :)
A beam is subjected to equal bending moments of Mz = 44 kip·ft. The cross-sectional dimensions are b1 = 6.5 in., d1 = 1.5 in., b2 = 0.90 in., d2 = 6.2 in., b3 = 2.6 in., and d3 = 1.8 in. 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.
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 inertial₂ about the z axis, and the controlling section 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 Answers: (a) y = (b) 6μ = 6.978 (c) OK (c) omax = = i M in., I₂ = X i psi. psi. psi. 41 1₂ 2886.59 b₁ b₂ Cross section H K in.4, S₂ = i in.³.
3. Determine the maximum Bending Moment MB and Torsional Moment MT in the curved beam ABCD due to the forces acting on the end D as shown. Show them on the cross section they act on. 2m 5N 10N 4N 4m (3) SHOT ON MI 6 MI DUAL CAMERA 1. 3m
A simply supported wood beam with a span of L = 11 ft supports a uniformly distributed load of w = 840 lb/ft. The allowable bending stress of the wood is 1400 psi. If the aspect ratio of the solid rectangular wood beam is specified as h/b = 1.5, determine the minimum width b that can be used for the beam. O 5.54 in. O 7.03 in. O 6.62 in. O 8.58 in. O 4.15 in. L h