Problem: The steel beam is constructed by welding three rectangular pieces into a complexcross sectional shape, as shown below. The beam is subjected to an internal vertical shear forceV = 40 N and an internal bending moment M = +80 N-m. Note that the moment M acts aboutthe horizontal neutral axis of the cross section (labeled NA).20 mm(a) Determine the maximum tensile bending10 mmstress.20 mm10 mm10 mm10 mm(b) Determine the maximum compressivebending stress.(c) Determine the maximum transverse shearstress.10 mm.VM(d) Determine the transverse shear stress inthe weld, which is located at point C.N-40 mm

Answered: Image /qna-images/answer/75672398-faca-4fb5-b9e7-c9468fff85c6.jpg

Answered: Problem: The steel beam is constructed…

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

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A beam subjected to a bending test has internal vertical shear force V=2000N. The cross-sectional area is shown in the figure. What is the maximal shear stress? (Hint: the area moment (Q) is given by bh2/8, and the area moment of inertia of the cross-sectional area is equal to bh3/12, b is the width, h is the height).
Consider the beam shown in sketch below, hinge supported at point A and roller supported at point D. The beam is subjected to a uniformly distributed load of 30 kiloNewtons per meter from points C to D and a concentrated load of 20 kiloNewtons applied at point B. The beam cross section is as shown in the sketch on the right. Determine the maximum tensile and compressive bending stresses in the beam.
Consider the compound beam shown in (Figure 1). Suppose that P1 = 950 N, P2 = 1500 N, w = 550 N/m, and point E is located just to the left of the 950-N force. Follow the sign convention.determine the Normal, Shear, and moment Forces at point E and F
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 = 94 mm, b₂ = 23 mm, d₂ = 23 mm, and a = 8 mm. For this material, the allowable tensile bending stress is 17 MPa, and the allowable compressive bending stress is 11 MPa. Determine the largest moment M that can be applied as shown to the beam. ak a ↓ a M B A Answer: M = i L N•m b₁
An extruded polymer beam is subjected to a bending moment M. The length of the beam is L = 600 mm. The cross-sectional dimensions of the beam are b₁ = 36 mm, d₁ = 112 mm, b₂ = 22 mm, d₂ = 22 mm, and a = 7 mm. For this material, the allowable tensile bending stress is 15 MPa, and the allowable compressive bending stress is 9 MPa. Determine the largest moment M that can be applied as shown to the beam. b₂ ak ak ✓ a M B L A Answer: M = i N•m d₂
consider a beam with two 60-inch-long rods. The rods have a cross section area of 0.50 in 2 . Find the axial stress in each rod, draw the shear and moment diagrams for the beam, and find the maximum stress in the beam.
The figure shows the cross-section of a beam that is composed of a wide-flanged structural profile, whose specification is indicated in the figure, and two steel plates, joined by means of screws, placed in pairs with a longitudinal separation of 20 cm . If the beam is subjected to a vertical shear force of 25 KN, determine the shear stress supported by each bolt in the topsheet. Please add the free diagram body.
The cross-sectional dimensions of a beam are shown in the figure. Assume a = 45 mm, b = 75 mm, t = 4 mm and d =55 mm. (a) If the bending stress at point Kis 54 MPa (C), determine the internal bending moment M₂ acting about the z centroidal axis of the beam. (b) Determine the bending stress at point H. The bending stress is positive if in tension and negative if in compression. IT H Answers: (a) M₂= (b) og = i 945.9 144.881 d N-m MPa
A beam has a bending moment of 3.5 kN-m applied to a section with a hollow circular cross-section of external diameter 3.6 cm and internal diameter 2.4 cm . The modulus of elasticity for the material is 210 x 109 N/m2. Calculate the radius of curvature and maximum bending stress. Also, calculate the stress at the point at 0.5 cm from the neutral axis (i) The moment of inertia = ii) The radius of curvature is (iii) The maximum bending stress is iv) The bending stress at the point 0.5 cm from the neutral axis is
The cross-sectional dimensions of a beam are shown. Assume b=3 in., tetw=0.4375 in. and d=3.375 in. (a) If the bending stress at point K is 1860 psi (T), determine the internal bending moment M, acting about the z centroidal axis of the beam. (b) Determine the bending stress oH at point H (positive if tension, negative if compression). K d H bf Answers: (a) M2 = i Ib-ft. ( b) σμ i psi. %3D Save for Later Attempts: 0 of 1 used Submit Answer

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