Answered: 50 kN 150 kN m 15 kN/m D B - 6 m- -3 m-…

Engineering

Civil Engineering

50 kN 150 kN m 15 kN/m D B - 6 m- -3 m- 3 m- FIG. P5.40

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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The beam with cross-section shown in Figure 1 is subjected to a uniformly distributed load and a moment. The centroidal axis of the section is c= 74.44 mm from the bottom. I. -2.18x10 mm. E = 2.1×10 MPa. a) At a cross-section 2 m to the right of support A; i) ii) iii) Calculate the Shear Force, V, and the Bending Moment, M. Determine the maximum bending stress. Sketch the bending stress distribution across the section, include critical tension & compression stress values. Determine shear stress developed at the flange-web interface and also the shear stress at the neutral axis of the cross-section. Sketch the shear stress distribution across the section, include the critical values. b) Using the double integration method, find the deflection curve for 0≤x≤5 m. 3 kN/m 5m 3 m- Figure 1 15 kN-m 100 All dimensions are in mm.
F1 F2 b M a C A a a Given the system above, F1 = 34 N, F2 = 96 N, M = 245 N-m, a = 3 m, b = 2 m, and a = 40°. %3D (a) Represent the system using a single force. Determine the magnitude of the force and its location relative to point A. Round all answers to the nearest integer. The magnitude of the force (N) is: N The position of the force relative to A (m) is: m (b) Represent the system using a force and a couple moment acting at point C. Determine the magnitudes of the force and the couple moment. Round all answers to the nearest integer. The magnitude of the force (N) is: N The magnitude of the couple moment (N-m) is: N-m
A simply supported beam carries a moment applied to one end as shown. El is constant. a) Calculate the support reaction forces for the beam b) Write out the M(x) equation using discontinuity functions. c) Determine the slope and deflection equations by integrating the M(x) equation as needed and using two B.C. to solve for the integration constants, C1 and C2. d) Calculate the deflection at the mid-span of the beam. e) Check: Calculate the deflection at point B (right support). A 12A
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