Question 4 (25 marks) For the beam and loading shown in Figure 4, knowing that a...
For the beam and loading shown, and knowing that distance a = 2m, determine the maximum value of the distributed load W so the deflection at midpoint C does not exceed 5 mm Use E = 200 GPa and Ix = 333 x 106 mm4. D B D А E
Question 3 For the simply supported steel beam with cross section and loading shown (see Figure 3a), knowing that uniformly distributed load w=60 kN/m, Young modulus E = 200 GPa, and yield stress Cyield=200 MPa (in both tension and compression). ул 15 mm w=60 kN/m ... 1 B A 15 mm + 300 mm IC - i 2.5m 1 1 15 mm 7.5m 1 150 mm Figure 3a (a) Check if: the beam is safe with respect to yielding (using...
Q1. For the cantilever beam and loading shown with circular section of 60 mm diameter and E = 200 GPa, use Double Integration Method to determine the value of the first arbitrary constant C1. Unit of force must be in KN and unit of length must be in m. Express your answer in three decimal places. Q2. For the cantilever beam and loading shown with circular section of 60 mm diameter and E = 200 GPa, use Double Integration Method...
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
For the loading shown in the below figure, knowing that wo 2 kN/m, the length of the beam is L 2 m, and the bending rigidity EI-204 kN-m2, a) Find the deflection equation for the beam by integration. Clearly specify the conditions to determine the constants of integration b) Find the vertical force needed at point A to prevent vertical displacement at point A (v(0)-0) c) Find the moment needed at point A to have zero slope at point A...
Q.2) A boxed beam shown below supports a uniformly distributed load w 180 N/m. Two parts of the beam AB and BC are connected by a pin at B. Using the integration method, find the deflection at B. Assume E = 200 GPa. 40 180 N/m 60 mm 1 m 75 mm Beam Cross-section Q.2) A boxed beam shown below supports a uniformly distributed load w 180 N/m. Two parts of the beam AB and BC are connected by a...
8. The cantilever beam in Figure Q8 subjects to concentrated loading. The cross section geometry gives the second moment of area / 100 x 10 m. The longitudinal geometry of the beam: a 2 m, b 1 m. The material of the beam: Young's modulus E 200 GPa. The loading: concentrated force P 10 KN. (a) Determine the reactions to the beam at the fixed end. (b) Determine the rotation angle at point x-a (c) (Determine the deflection at the...
2. For the beam and loading shown, design the cross section of the beam, knowing that the grade of timber used has an allowable normal stress of 12 MPa 2.5 KN 2.5 KN 100 mm 6 kN/m 0.6 m 0.6 m 3. Knowing that the allowable normal stress for the steel used is 160 MPa, select the most economical S shape beam to support the loading shown. SO KN 100 kN/m B 0.8m- 1.6 m
QUESTION 4 (25 marks) A simply supported beam is loaded by an uniform distributed load, wkN/m, over the span of the beam, L, as shown in Figure Q4. (a) Determine the end reactions at point A and B in terms of w and L. (4 marks) (b) At an arbitrary point, x, express the internal mom (c) Show that the deflection curve of the beam under the loading situation is ent, M(x), in x, w, and L. (5 marks) 24EI...
9. For the beam loaded and supported as shown in Figure (see Week 4), use the integration method to determine (a) The equation of the elastic curve using the x1 and x2 coordinates (b) The slope at A. (c) The deflection at C. Take E = 200 GPa and I= 4 x 108 mm 30 KN 4 m *20 kNm tem2m* -