Question 1 (20 marks total) For the cross-section given in Figure 1, a) determine the distance...
4. A T-shaped cross-sectional beam is loaded as shown in the figure. Determine the following a. Sketch the internal shear force and bending moment diagrams for the beam. b. Calculate the maximum magnitude of the bending stress. Indicate where this occurs on the cross-section and along the length of the beam. c. Calculate the transverse shearing stress at the centroid of the cross-section using the maximum magnitude of the transverse shear force. - 200 mm 8 KN 1.5 kN/m 20...
4. (30%) For a beam with a T-section as shown, the cross-sectional dimensions of 12 mm. The centroid is 75 mm, h = 90 mm, t the beam are b 60 mm, h, at C and c 30 mm. At a certain section of the beam, the bending moment is M 5.4 kN m and the vertical shear force is V= 30 kN. (a) Show that the moment of inertia of the cross-section about the z axis (the neutral axis)...
1. A beam has a max moment of 45 kN-m. The cross section of the beam is shown in the figure below. a. State the distance of the centroid from the 2 axis. b. Calculate the area moment of inertia about the centroid. c. Calculate the maximum stress in the beam 300 mm 20 mm 185 mm 20 mm 35 mm 1. A beam has a max moment of 45 kN-m. The cross section of the beam is shown in...
answered to receive full credit. 3. (20 pts) For the L-section beam as shown in Fig- ure 3 which is subjected to a positive bending moment about the z-axis of 90 kN·m, determine 1. (20 pts) Consider the beam with loading shown in Figure 1. (a) Draw the shear and moment diagrams. (a) the location of the centroid (2,P) relative (b) If the beam is constructed from A-36 struc- tural steel, determine the minimum top and bottom section modulii such...
Id) Determine the moment of inertia about the y axis. [9 Marks) Total: 20 Marks Question 2 If P-40 kN load is applied at point C and all pins are in double shear, and each has a diameter of 20 mm. 1.5 m 2 m 2a) Calculate force FcB 14 Marks 2b) Calculate shear force at A. 16 Marks 2e) Calculate shear force in the pins at B and C 12+2 Marks 2d) Determine the average shear stress in the...
4. (25 pt.) The beam subjected to a uniform distributed load as shown in Figure 4(a) has a triangular cross-section as shown in Figure 4(b). 1) (6 pt.) Determine mathematical descriptions of the shear force function V(x) and the moment function M(x). 2) (6 pt.) Draw the shear and moment diagrams for the beam. 3) (5 pt.) What is the maximum internal moment Mmar in the beam? Where on the beam does it occur? 4) (8 pt.) Determine the absolute...
PLEASE PRINT Question Four The beam has a cross section shown below and is subjected to a 1 kN load as shown. The beam AB has a length of 3 m. a) Draw the shear force and bending moment diagrams. b) Determine the maximum bending stress. c) Where is the location of the maximum stress in b) above? 30 mm 30 mm 30 mm 50 mm t 40 mm 50 m 40mm
answer all the parts if cannot answer all the parts ignore the question Question 8 The T-beam shown in Figure 8 is subjected loading (a) show that the centroidal distance (y) as measured from the top of the beam is as shown 60mm (b) show that the moment of Inertia about the centroidal () axis Is 27.0x10 mm (c) determine the reactions (d) draw the Shear Force and Bending Moment Diagrams (e) Calculate the maximum shear stress in the beam....
please solve 1-5 and show all steps and equations used 10 mm 10 mm 300 N/m 50 mm 10 mm Problem 2. Consider the beam above with the cross-section shown. The number (300N/m) indicates the value of the load distribution at its peak. (5 pts.) Find the reactions (15 pts.) Draw the shear and moment diagrams using the graphical method. Ensure you state values of the diagrams, and type of function for lincar or higher-order segments. You can indicate all...
Question I.5 Figure 1.5 shows a frame with loads at A and D. Select the closest value for the magnitude of the total reaction at B. Assume the weight of the frame is zero. 40 kN VE 96.2 kN (a) (Ь -40 kN 5 m (c) -87.5 kN 30 kN (d) 57 kN 4m ao 1 m (e) 50 kN Figure L.5 Low mass frame Question I.6 In the shear and bending moment equations for beams, which of the following...