t View Window Help Tools Assignment3 (2)pdr x Question 3: Unsymmetric bending (50 marks) A beam with the triangular...
A beam whose cross-section is shown in the figure is subjected to a bending moment M inclined at 0 = 70° from the z axis. a) Locate the orientation of the neutral axis B and draw this axis on the figure b) Calculate the maximum flexural tensile stress Omax,T and the maximum flexural compressive stress Omax.c in the beam and indicate at which points in the section these occur. M= 2 Nm D e Z 20 mm A B 60...
50 M=2.0kN.m 100 160 100 Fig. 3 Fig. 4 Prob. 3. For the unsymmetric cross section shown in Fig. 3, a moment M is applied at +45° from z. All dimensions are in mm. The thickness = 4 mm. Determine (a) the centroid of the cross section (b) the moments of inertia and product of inertia under y-z (c) the principal moments of inertia and the direction of the principal system (d) the orientation of the neutral axis in terms...
Q1. A 2 m long T-beam is built-in at one end and has a force of 7 kN applied at its free end. The dimensions of the cross-section of the beam are shown in Fig. Q1 and the force acts at 10° to the vertical though the centroid of the section. 7 KN 1 -10° 251 -y 100 1 44 32 44 all dimensions in mm Fig. Q1 - Cross-sectional Dimensions of T-beam (a) Find the position of the centroid...
Question 2 [50 Marks] For the beam shown, a) Draw the bending moment diagram, b) Determine the maximum normal stress due to bending. 300 N 400 N/m D B C 200 N.m Hinge 2.00 m 2.00 m 2.00 m 300 mm 750 mm N A x = 292 mm 560 mm NA: Neutral Axis
Problem 2 (60 points) For the T-shape beam, the maximum tensile stress and compressive stress it can sustain are 30MPa and 160 MPa, respectively. z is the neutral axis. 80 20 120 y: 20 1: Locate the neutral axis Z by finding the values of yi and y2 2. Calculate I 3. Plot the shear force diagram and bending moment diagram. (Clearly mark the values at the transitions.) 4. Is the beam safe under the applied loading? If yes, justify...