QU A composite beam is fabricated by bonding a steel bar and a brass bar and is subjected to the bending moment M = 200 N-m. Determine the maximum bending stress in the brass and steel. Given: E, =200 GPa, E, = 100 GPa Brass 20 }o

Introduction : Bending Equation : (M/I) = (f/y) M = bending moment I = moment of inertia f =…

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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6- For a simply supported beam with b=300 mm and d=500 mm, if f = 63MPa, f, = 280 MPa and the net tensile strain is greater than 0.005, then the maximum steel ratio equal............ (a) 0.0406 (b) 0.0310 (c) 0.0287 (d) 0.0180 (e) None
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A composite beam is made of two brass [E = 120 GPa] bars bonded to two aluminum [E = 70 GPa] bars, as shown. The beam is subjected to a bending moment of 400 N-m acting about the z axis. Using a = 15 mm, b = 100 mm, c = 30 mm, and d = 65 mm, calculate (a) the maximum bending stress in the aluminum bars. (b) the maximum bending stress in the brass bars. Aluminum y Brass Aluminum b Brass C a d
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Two T-shape sections are welded together to create a composite l-beam section as shown below. Determine the safely uniform load w (kN/m) that the beam can carry throughout its entire span. 270mm 30mm 20mm 160mm Welded Joint 130mm 30mm 135mm Beam Length = 4 m Consider the following stresses: fb(T) 3 125 МPа fb(C) = 130 MPa x at the welded joint = 20 MPa Find: 1. The Neutral Axis from the base 2. moment of inertia with respect to the horizontal centroidal axis 3. Q at the welded joint 4. Considering the maximum flexural stress in tension, WNAX is equal to KN/m. 5. Considering the maximum flexural stress in compression, WMAX, is equal to 6. Considering the stress at the welded joint, wMex is equal to kN/m.
A composite beam is made of two brass [E = 112 GPa] bars bonded to two aluminum [E = 69 GPa] bars, as shown. The beam is subjected to a bending moment of 350 N-m acting about the z axis. Using a = 15 mm, b = 115 mm, c = 25 mm, and d = 65 mm, calculate (a) the maximum bending stress in the aluminum bars. (b) the maximum bending stress in the brass bars. Z Aluminum с Aluminum Answers: (a) Jal= (b) Obr= Brass i y i b Brass a a MPa MPa
d(mm)=65 T(nm)=1500 Gst(Gpa)=70
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1. Shown is a composite plate joined together by rivets. The components consist of two tension bar plates that is % X 4 inch and riveted together by two splice plates which is 0.8 X 6 inch. Each rivet has a diameter of 25.4 mm. Considering that the allowable stress for the tension bar plates and splice plates is o=20.0 ksi, the allowable shear stress for the rivets is o=25.0 ksi and the allowable bearing stress on the rivets and splice plates is o=25.0 ksi. What will be the maximum permissible load P such that none of the allowable stresses will be exceeded? Splice Plates a-0.75 in Bar Lc =0.80 in. Bar P d = 1.0 in. b=4.0 in. Rivets 'e = 6.0 in.