4. A T-shaped cross-sectional beam is loaded as shown in the figure. Determine the following a....
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)...
Q4. (20 pts) A kN/m BEN. X mm The beam has the cross-sectional area and loaded as shown. Draw the bending and shear force diagrams. Find the maximum bending stress in the beam. التسعي HO Z mm Y mm 3 m Z mm A=40 X=75 B=25 Y=125 Z=10
2. A cantilever beam is loaded as shown in the following figure. 1) Draw the shear force and bending moment diagrams 2) Calculate the maximum bending stress in the beam. S 3) Calculate themaximum transverse shear stress in the beam. 19 kN 3 kN/m NA 01 m 2 m 2 m 2 m
Draw the shear and moment diagrams for the loaded beam. After you have the diagrams, answer the questions as a check on your work. 6 KN 5 kN/m 6 kN.m La mtu2m + 2m + 2m- 3 m 3m + +3m- 3m Questions: When x = 0.5 m, V = kNm When x = 3.2 m, V = kN.m When x = 6.0 m, V = kN.m When x = 8.2 m, V = kN.m The maximum (absolute value) shear...
For the following beam and loading shown in the figure; all the dimensions are measured in meter. Determine: a) Draw the free body diagram. b) Draw the shear and moment diagrams using an appropriate scale, (show all calculation details) c) The maximum normal stress due to bending. 15kN 240 mm 30 mm Im 50KN 10kN/m 1 16 mm 2 350 mm A B C D E 2m 2m 2m 3m 4m Beam cross-section
The beam has the loading and the shear diagram as shown. Consider a cross section between C and D, determine: • the maximum shearing stress in that cross section, • the shearing stress at point Hon the web of the beam at the same cross section. 15 kN 8 KN 9 KN 12 KN -180 mm 40 mm А B C D E F H 3 m + 2m +2 m-42 m 4 m T 180 mm 12 KN 9...
A simply support beam is loaded as shown in the following figure. 1) Draw the shear force and bending moment diagrams. 2) Calculate the maximum bending stress in the beam. 3) Calculate the maximum shear stress in the beam. G0 KN 30 kNm B0 kN/m H NA 0.1 m 3 m e 1.5m to 1.5m. 0.1 m
4. Figure 4 shows a beam with three supports at A, B and D. The beam also has a pin connection at C. Draw the shear force diagram and bending moment diagram of the beam. Calculate the maximum bending stress and maximum shear stress of the beam. 200 mm 5 kN 3 kN/m 30 mm - 25 mm N IITIT 250 mm 3m — 3 m +1.5 m +1.5 m1 30 mm 100 mm Cross-section of beam Figure 4
Draw the shear and moment diagrams for the loaded beam. After you have the diagrams, answer the questions in order to gain confidence in your plots. Draw the shear and moment diagrams for the loaded beam. After you have the diagrams, answer the questions in order to gain confidence in your plots. 2 kN 11 kN 5 kNm +3m +4m + 6m — +3m 8 KN Questions: When x = 2.1 m, V = KN.m When x = 5.7 m,...
For the beam shown below (neglect self-weight of the beam) 16 kN x 8 mm 19 kN 10 kN/m T 2 mm mm A4n - 3 m +3m → a. Draw the shear force and bending moment diagram. 2 mm Section X-X b. For the cross section x-x given, calculate the maximum tensile and compressive bending stress c. For the cross section X-X given, calculate the maximum shear stress