The overhanging beam shown in Figure 2 is subjected to two point loads, P at the free end D and 2Pat section B. The I-section shown in Figure 3 with its centroid, y = 252.625 mm and moment ofinertia with its centroidal x-axis I= 831.262 x 10° mm“, will be used as cross section of the beam.2a) Express all your answers in term of P. Use the values of m=3 and n=2.(i) Construct the shear force and bending moment diagrams of the beam.(11) Identify the shear forces at the sections (i) A and (i1) right before C (Figure 2).(iii) Identify the bending moments at the sections (i) B and (11) C (Figure 2).Use P = 293KN26)(i) Calculate the bending stresses at both points p and q (Figure 3) at beam sections B andC (Figure 2). Identify whether they are under compression or tension. {(ii) Calculate the maximum bending stress in compression and tension of the entire beam.(111) Calculate the transverse shear stresses at both points p and r (Figure 3) at beam sectionsA and right before C (Figure 2).(iv) Calculate the maximum transverse shear stress of the entire beam.Given the allowable tensile and compressive bending stresses are b MPa and h MParespectively. And allowable transverse shear stress is a MPa.(i) Is the beam safe?(ii) Calculate the maximum value of P the entire beam can resist.2c)2P1501505628x'BCD380303 m11y = 252. 625Figure 230198All dimensions are in mm.Figure 3

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The overhanging beam shown in Figure 2 is subjected to two point loads, P at the free end D and 2P at section B. The I-section shown in Figure 3 with its centroid, y = 252.625 mm and moment of inertia with its centroidal x-axis I= 831.262 x 10° mm“, will be used as cross section of the beam. 2a) Express all your answers in term of P. Use the values of m=3 and n=2. (1) Construct the shear force and bending moment diagrams of the beam. (11) Identify the shear forces at the sections (i) A and (ii) right before C (Figure 2). (i11) Identify the bending moments at the sections (i) B and (1) C (Figure 2). Use P = 293KN

The overhanging beam shown in Figure 2 is subjected to two point loads, P at the free end D and 2P at section B. The I-section shown in Figure 3 with its centroid, y = 252.625 mm and moment of inertia with its centroidal x-axis I= 831.262 x 10° mm“, will be used as cross section of the beam. 2a) Express all your answers in term of P. Use the values of m=3 and n=2. (1) Construct the shear force and bending moment diagrams of the beam. (11) Identify the shear forces at the sections (i) A and (ii) right before C (Figure 2). (i11) Identify the bending moments at the sections (i) B and (1) C (Figure 2). Use P = 293KN

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter6: Stresses In Beams (advanced Topics)

Section: Chapter Questions

Problem 6.2.13P: A simply supported wooden I-beam with a 12-ft span supports a distributed load of intensity q = 90...

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