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Beams

Beams. WORKSHEET 8. to answer just click on the button or image related to the answer. let's go !!. 1.2 m 2. 12 m 2. 1,200,000 mm 2. a. b. c. Question 1. floor joists are at 600mm centres and span 2.0m between bearers, draw the configuration. what is the tributary area for one joist?.

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Beams

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  1. Beams WORKSHEET 8 to answer just click on the button or image related to the answer let's go !!

  2. 1.2 m2 12 m2 1,200,000 mm2 a b c Question 1 floor joists are at 600mm centres and span 2.0m between bearers, draw the configuration what is the tributary area for one joist?

  3. 18 m2 36 m2 324 m2 a b c Question 2 given a floor 18 m x 18 m with columns on a 6m x 6m grid, draw the configuration what is the tributary area for an internal column

  4. 18 m2 36 m2 324 m2 a b c Question 3 given a floor 18 m x 18 m with columns on a 6m x 6m grid, draw the configuration what is the tributary area for an edge column

  5. 18 m2 36 m2 9 m2 a b c Question 4 given a floor 18 m x 18 m with columns on a 6m x 6m grid, draw the configuration what is the tributary area for a corner column

  6. determine the load per metre on a truss determine the tributary area for a truss determine the bending moment on the truss a b c Question 5 a roof weighing 0.4 kPa spans between roof trusses which are at 2.5 m centres and span 10m. We want to determine the total load on a truss. what is the first thing we need to do?

  7. 2.5 m2 10 m2 25 m2 a b c Question 6 a roof weighing 0.4 kPa spans between roof trusses which are at 2.5 m centres and span 10m. We want to determine the total load on a truss. what is the tributary area for a truss?

  8. 10 kPa 10 kN 100 kN a b c Question 7 a roof weighing 0.4 kPa spans between roof trusses which are at 2.5 m centres and span 10m. We want to determine the total load on a truss. what is the total load on a truss? (neglecting the self-weight)

  9. UDL point load a b Question 8 a roof weighing 0.4 kPa spans between roof trusses which are at 2.5 m centres and span 10m. We want to determine the total load on a truss. is this a UDL or a point load?

  10. 1 kPa 1 kNm 1 kN/m a b c Question 9 a roof weighing 0.4 kPa spans between roof trusses which are at 2.5 m centres and span 10m. We want to determine the total load on a truss. what is the load per metre on a truss? (neglecting the self-weight)

  11. buckling and shear tension and compression bending and shear bending and buckling a b d c Question 10 what are the two main types of stress involved in beam action?

  12. shear bending a b Question 11 in buildings which is more important?

  13. spans are large we design for bending and check for shear loads are light spans are large relative to loads a b d c Question 12 in buildings bending is more important than shear why?

  14. positive negative a b Question 13 what is the sign convention for BMD for sagging?

  15. positive negative a b Question 14 what is the sign convention for BMD for hogging?

  16. where the maximum shear force occurs where the maximum shear stress occurs the values of the shear force along the beam a and c b and c a b d e c Question 15 what does a Shear Force Diagram tell you?

  17. where the maximum bending moment occurs where the maximum load occurs the values of the bending moment along the beam a and c a, b and c a b d e c Question 16 what does a Bending Moment Diagram tell you?

  18. 16 kN 2m 4m calculate the maximum bending moment calculate the maximum shear force calculate the reactions a b c Question 17a given the beam loaded as shown what’s the first thing we do?

  19. 16 kN 2m 4m RL = 10 kN, RR = 6 kN RL = 16 kN, RR = 16 kN RL = 8 kN, RR = 8 kN a b c Question 17b given the beam loaded as shown RL RR what are the reactions?

  20. 16 kN 2m 4m sag hog a b Question 17c given the beam loaded as shown draw the deflected shape RL= 8 kN RR = 8 kN does the beam sag or hog?

  21. 16 kN 2m 4m negative positive positive and negative a b c Question 17d given the beam loaded as shown draw the deflected shape RL= 8 kN RR = 8 kN is the Bending Moment?

  22. 16 kN 2m 4m block shaped triangular shaped a b Question 17e given the beam loaded as shown draw the Shear Force Diagram (SFD) RL= 8 kN RR = 8 kN is the SFD?

  23. 16 kN 2m 4m 16 kNm 8 kN 16 kN 8 kNm a b d c Question 17f given the beam loaded as shown draw the Shear Force Diagram (SFD) RL= 8 kN RR = 8 kN what is the maximum Shear Force?

  24. 16 kN 2m 4m at the centre of the beam all along the beam at the ends of the beam a b c Question 17g given the beam loaded as shown draw the Shear Force Diagram (SFD) RL= 8 kN RR = 8 kN where does the maximum Shear Force occur?

  25. 16 kN 2m 4m trapezoidal / triangular parabolic a b Question 17h given the beam loaded as shown draw the Bending Moment Diagram (BMD) RL= 8 kN RR = 8 kN is the BMD?

  26. 16 kN 2m 4m 16 kNm 8 kNm 32 kNm 16 kN/m a b d c Question 17i given the beam loaded as shown draw the Bending Moment Diagram (BMD) RL= 8 kN RR = 8 kN what is the maximum Bending Moment?

  27. 16 kN 2m 4m at the centre of the beam all along the beam at the ends of the beam a b c Question 17j given the beam loaded as shown draw the Bending Moment Diagram (BMD) RL= 8 kN RR = 8 kN where does the maximum Bending Moment occur?

  28. UDL 5kN/m 2m calculate the maximum bending moment calculate the maximum shear force calculate the reactions a b c Question 18a given the beam loaded as shown what’s the first thing we do?

  29. UDL 5kN/m 2m 5 kN RV 10 kN 20 kN a b c Question 18b given the beam loaded as shown what is the vertical reaction?

  30. UDL 5kN/m 2m sag RV = 10 kN hog a b Question 18c given the beam loaded as shown draw the deflected shape does the beam sag or hog?

  31. UDL 5kN/m 2m negative RV = 10 kN positive positive and negative a b c Question 18d given the beam loaded as shown draw the deflected shape is the Bending Moment?

  32. UDL 5kN/m 2m block shaped RV = 10 kN triangular shaped a b Question 18e given the beam loaded as shown draw the Shear Force Diagram (SFD) is the SFD?

  33. UDL 5kN/m 2m 5 kNm 10 kNm RV = 10 kN 10 kN 5 kN a b d c Question 18f given the beam loaded as shown draw the Shear Force Diagram (SFD) what is the maximum Shear Force?

  34. UDL 5kN/m 2m at the centre of the beam at the right end of the beam same all along the beam RV = 10 kN at the left end of the beam / at the support a b d c Question 18g given the beam loaded as shown draw the Shear Force Diagram (SFD) where does the maximum Shear Force occur?

  35. UDL 5kN/m 2m trapezoidal / triangular RV = 10 kN parabolic a b Question 18h given the beam loaded as shown draw the Bending Moment Diagram (BMD) is the BMD?

  36. UDL 5kN/m 2m - 20 kNm - 5 kNm RV = 10 kN - 10 kNm - 2.5 kNm a b d c Question 18i given the beam loaded as shown draw the Bending Moment Diagram (BMD) what is the maximum Bending Moment?

  37. UDL 5kN/m 2m at the centre of the beam at the support RV = 10 kN at the right end of the beam a b c Question 18j given the beam loaded as shown draw the Bending Moment Diagram (BMD) where does the maximum Bending Moment occur?

  38. tributary area 2m 600mm 600mm enough ! Fantastic tributary area = 2 m x 0.6 m = 1.2 m2 next question

  39. let me try again let me out of here Sorry how did you get that? The length of a joist is 2 m and the joists are at 0.6 m centres

  40. let me try again let me out of here Think again ! the number is right. But these are stupid units for an area this size

  41. 6m 6m 6m 6m 6m tributary area 6m enough ! You Bewdy ! 6 m x 6 m = 36 m2 next question

  42. let me try again let me out of here Oh my gosh!! How did you get that? The columns are on a 6 m x 6 m grid. We are talking about an internal column

  43. tributary area 6m 6m enough ! 6m you've got it it!! 6 m x 3 m = 18 m2 next question

  44. let me try again let me out of here Oh my gosh!! How did you get that? The columns are on a 6 m x 6 m grid. We are talking about a column on the edge. What are the distances to the neighbouring columns?

  45. 6m 6m 6m enough ! you've got it it!! tributary area 3 m x 3 m = 9 m2 next question

  46. let me try again let me out of here Oh my gosh!! How did you get that? The columns are on a 6 m x 6 m grid. We are talking about a column at a corner. What are the distances to the neighbouring columns?

  47. enough ! Fantastic That’s right. Before we can work out the load on a member, We have to work out what that member is carrying next question

  48. let me try again let me out of here Not right !! We are after the TOTAL LOAD We need to find out what the truss is carrying

  49. enough ! Yeaaahh! 10 m x 2.5 m = 25 m2 next question

  50. let me try again let me out of here THINK!! The length of the truss is 10 m The trusses are at 2.5 m centres

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