Situation 1: Considering the truss shown in the figure, E = 200 GPa, Cross sectional area of all members is 3000 sq mm. The truss is loaded as follows: • 5 kN downward vertical loads acting at A. joints C, D, and E. • 10 kN horizontal load acting at joint F. • 20 kN vertical downward load acting at joint G. The truss is supported as follows: Pin support at point A • Roller support at Point H 5 kN 5kN VE 13 3 m 3m 5,KN D X ROH 3 m 3m 3m Jam 9m F 3 m 20 kN 1. Determine the vertical deflection at joint I. 2. Determine the vertical deflection at joint G. 3. Determine the horizontal deflection at point G. The beam is loaded as follows: 4. Determine the horizontal deflection at pint F. 5. If the vertical deflection at point G is limited to 10 mm only, what is the required cross- sectional area of all the members? Situation 2: Considering the frame shown in the figure below, E = 200 GPa, I = 2x10 mm² 8 kN/m 10 kN 4 m The beam is supported as follows: 3 m 3 m 20 kN Uniformly distributed vertical load of intensity 8 kN/m at member AB 20 kN point load acting 3m above the rocker support. Fixed support at point A Rocker support at Point C 6. Determine the vertical reaction at support A. 7. Determine the horizontal reaction at support 8. Determine the Moment reaction at support A. 9. Determine the vertical reaction at support C. 10. Determine the horizontal deflection of point C due to the loads with respect to its original location. Situation 3: Considering the fully restrained beam shown in Finuro 2 where F-200 CD₂ and 1-2x10² mm² M The beam is loaded as follows: Concentrated moment at a point 5 m. from the left support Load P inclined at angle G with respect to the horizontal, acting at 3 m. from the right support. The beam is supported as follows: • Fixed support at the left and right end. If P = 85 kN, M = 120 kNm, L = 14 m., and G = 30 degrees. 11. Determine the vertical reaction at support A. 12. Determine the horizontal reaction at support A. 13. Determine the Moment reaction at support A. 14. Determine the vertical reaction at support C. 15. Determine the horizontal reaction at support C. 16. Determine the Moment reaction at support C. 17. Determine the deflection at point B. 18. Determine the slope at point B.
Situation 1: Considering the truss shown in the figure, E = 200 GPa, Cross sectional area of all members is 3000 sq mm. The truss is loaded as follows: • 5 kN downward vertical loads acting at A. joints C, D, and E. • 10 kN horizontal load acting at joint F. • 20 kN vertical downward load acting at joint G. The truss is supported as follows: Pin support at point A • Roller support at Point H 5 kN 5kN VE 13 3 m 3m 5,KN D X ROH 3 m 3m 3m Jam 9m F 3 m 20 kN 1. Determine the vertical deflection at joint I. 2. Determine the vertical deflection at joint G. 3. Determine the horizontal deflection at point G. The beam is loaded as follows: 4. Determine the horizontal deflection at pint F. 5. If the vertical deflection at point G is limited to 10 mm only, what is the required cross- sectional area of all the members? Situation 2: Considering the frame shown in the figure below, E = 200 GPa, I = 2x10 mm² 8 kN/m 10 kN 4 m The beam is supported as follows: 3 m 3 m 20 kN Uniformly distributed vertical load of intensity 8 kN/m at member AB 20 kN point load acting 3m above the rocker support. Fixed support at point A Rocker support at Point C 6. Determine the vertical reaction at support A. 7. Determine the horizontal reaction at support 8. Determine the Moment reaction at support A. 9. Determine the vertical reaction at support C. 10. Determine the horizontal deflection of point C due to the loads with respect to its original location. Situation 3: Considering the fully restrained beam shown in Finuro 2 where F-200 CD₂ and 1-2x10² mm² M The beam is loaded as follows: Concentrated moment at a point 5 m. from the left support Load P inclined at angle G with respect to the horizontal, acting at 3 m. from the right support. The beam is supported as follows: • Fixed support at the left and right end. If P = 85 kN, M = 120 kNm, L = 14 m., and G = 30 degrees. 11. Determine the vertical reaction at support A. 12. Determine the horizontal reaction at support A. 13. Determine the Moment reaction at support A. 14. Determine the vertical reaction at support C. 15. Determine the horizontal reaction at support C. 16. Determine the Moment reaction at support C. 17. Determine the deflection at point B. 18. Determine the slope at point B.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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