1.7 Find the stress distribution in the beam shown in Fig. 1.23 using two beam elements.A. E. I constantM₂T+FIGURE 1.23 A fixed-pinned beam subjected to a moment

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Answered: 1.7 Find the stress distribution in the…

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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Draw free body diagram without writing shear and moment equation of beam shown in Figure 2.19. Give numerical values at all change of loading positions and at all points of zero shear.
1. A beam of length L is simply supported shown as follows. A concentrated force F is applied at point A. The cross section of the beam is a rectangular with sides a and b. Please determine: 1) The shear force diagram and the bending moment diagram of the beam. 2) Determine the normal stress distribution on cross section B. Specify the locations and magnitudes of the max. tensile/compressive stress on cross section B. 3) Find the location and the magnitude of the max. bending stress ON THE BEAM. For simplicity, transverse shear stress is neglected. 4) Find the location and magnitude of the max. transverse shear stress on cross section B. F A В
1. Find the resultant force in a brass beam from a normal stress of 98 MN/m2 with a square cross-section (s = 12 mm). 2. What is the maximum shear stress for a silicone beam (d = 10 cm) resulting in a maximum shear load of 3 MN?
For the beam shown, find the reactions at the supports and plot the shear-force and bending-moment diagrams. Label the diagrams properly and provide values at all key points within the diagrams.
Calculate the maximum normal stress in the cross-section of the beam. Enter the positive value of the stress. Enter your answer in MPa to two decimal places.
For the simply supported beam subjected to the loading shown, derive equations for the shear force Vand the bending moment M for any location in the beam. (Place the origin at point A.) Let a=2.75 m, b=5.00 m, PB = 60KN, and Pc = 80kN. Construct the shear- force and bending-moment diagrams on paper and use the results to answer the questions in the subsequent parts of this GO exercise. Answers: Ay = Dy= tel tel a i B a Calculate the reaction forces Ay and Dy acting on the beam. Positive values for the reactions are indicated by the directions of the red arrows shown on the free-body diagram below. (Note: Since Ax = 0, it has been omitted from the free-body diagram.) PB B a PB Pc a C Pc C KN b KN D b D X D₂ X
A cantilever beam has a cross-section and concentrated loads P1 = 30 kN and P2 = 10 kN, as shown. a. Compute for the maximum tensile bending stress (in MPa). b. Compute for the maximum compressive bending stress (in MPa) c. Compute for the bending stress (in MPa) 2m to the right of point A and 30mm from the top of the beam. d. Find the maximum shear stress (in MPa) for the beam and cross-section
MA MB= Mc= MD= Required information For the beam shown, find the reactions at the supports and plot the shear-force and bending-moment diagrams. V=50 lbf/in and V2 = 7 in. NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. Hinge = 1400 lbf/ A BI AC R₂ R₁ 4 in 4 in 2 in V1 Determine the values of the moments at points A, B, C, and D. lbf.in lbf.in lbf.in Ibf.in V2 D R₂
a) A steel 4 X 4X 0.25-inch square tube (moment of inertia I = 8.215 inª) is used as a simply supported beam. A 100-pound weight is dropped from a height of 24 inches onto the beam at mid- span. Find the maximum stress in the beam. Use E = 29 X 106 psi. 8 ft k = 200 lb/in 100 lb 8 ft b) Instead of fixed supports, the beam is supported by springs at both ends. Find the maximum stress in the beam when the 100-pound weight is dropped from a height of 24 inches (same beam properties as in part a). 24 in 100 lb 8 ft 24 in 8 ft k = 200 lb/in
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Consider a beam with boundary conditions, loading, and cross-section given below. In addition to the applied concentrated moment, there is a compressive axial load, P = 5 kips that acts through the centroid of the cross-section. Determine the following: (a) The normal (flexural) stress, o, at D due to the applied moment. (b) The normal stress, o, at D due to the axial load (c) The total normal stress at D due to both the applied axial load and the applied moment. 144 k-in 5 kip 5 kip 8 in A B D • I 2 in 12 ft 5 ft 6 in 8 ft Cross-section
For the beam shown, use only singularity functions. V₁ = 45 lbf/in and V/₂ = 5 in. NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. 0 1400 lbf Hinge JA B₁ C R₂ R₁ 4 in 4 in 2 in V1 V2 D R₂ + What is the value of the peak moment between points Cand D? The peak moment between points C and Dis Ibf.in.

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1.7 Find the stress distribution in the beam shown in Fig. 1.23 using two beam elements. A. E. I constant M₂ T + FIGURE 1.23 A fixed-pinned beam subjected to a moment