Question

3 (a) For the beam shown in Figure Q3.1, E 200GPa and I 22:10 m throughout. By using the stiffness method and neglecting axia

7.5kNm SkNm 2 2 Im Im Figure Q3.1

3 (a) For the beam shown in Figure Q3.1, E 200GPa and I 22:10 m throughout. By using the stiffness method and neglecting axial effects: (i) Calculate the rotations of each of the supports [5 marks (ii) Calculate the bending moment and shear force diagrams. [10 marks] (iii) Calculate the reactions and check equilibrium. [5 marks]
7.5kNm SkNm 2 2 Im Im Figure Q3.1
0 0
Add a comment Improve this question Transcribed image text
Answer #1

age- gtipeness Matrix melhool 7.5KN-m SkN-m >1has tu degaeeg oe freedom Key ave yotalions about Supportg are inalicated A andfage-2 2E3 2 ED = 2ED LAR alona co-aidinate @, ken Now apply unit Stotali on have the lallowing moments 4 LAR ED 8ED AED LecPages Joint load vedor load oY moment ading at Co-oxdirate O load o moment acing at co-ordinale ve Sign ig because theu act Otage-u From slope and deflection quation CSupport settema MAR = MAR -f EX 22 xE118 0 18 MAR -15kN-m 2ED 202t p Setflement LABslope at eived spert fage-S C28+2- 2ED Mec=TEC Ler O 72 KN- Mce M 2ED CR LRC 2 ED -O o S6KN-MPage- ( Calculafion of yeationg ;- 4.20km C O&T2 kw-m A 4.2qkM Part AR AytBy But 4024 t7S= -I79 kn, O.36 Consialer Poxt BC Fyghear Poxce diagram- .7A 1.08 lending moment diagrom 4.29 O-36 ve ve O72 Re actiong Ay 7 Kn, byz -(o.1l k Cy=-1.68k quilibriu

Add a comment
Know the answer?
Add Answer to:
3 (a) For the beam shown in Figure Q3.1, E 200GPa and I 22:10 m throughout....
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
  • 3 (a) For the beam shown in Figure Q3.1, E 200GPa and I 22:10 m throughout....

    3 (a) For the beam shown in Figure Q3.1, E 200GPa and I 22:10 m throughout. By using the stiffness method and neglecting axial effects: (i) Calculate the rotations of each of the supports [5 marks (ii) Calculate the bending moment and shear force diagrams. [10 marks] (iii) Calculate the reactions and check equilibrium. [5 marks] 7.5kNm SkNm 2 2 Im Im Figure Q3.1 3 (a) For the beam shown in Figure Q3.1, E 200GPa and I 22:10 m throughout....

  • For the beam shown in the figure below a. Draw the shear and moment diagrams for this beam

    For the beam shown in the figure below a. Draw the shear and moment diagrams for this beam b. Calculate the maximum bending stress, maximum axial stress, and maximum shear stress acting on the beam cross section c. Sketch the distributions of shear stresses and bending stresses acting on the beam cross section at the locations where these stresses are maximum. 

  • Calculate the reactions at the supports A, B, and C for the beam in figure 4...

    Calculate the reactions at the supports A, B, and C for the beam in figure 4 and then draw the shear force and bending moment diagrams. At A and B there are simple supports while at C there is a pin joint. If the cross section of the beam is rectangular, with dimensions b-10 mm and h-24 mm what is maximum bending stress in the beam? 12 kN 9 kN/m 22 224m 2

  • Q5: Using force method, determine the reactions of the supports for the beam shown in Figure...

    Q5: Using force method, determine the reactions of the supports for the beam shown in Figure (5). Then draw shear and bending moment diagrams for the beam. EI is constant. Use conjugate beam method to determine deflections. I need it in 30min or 1 h 6 m 50 KN 200 kN.m 22 А В. С 9 m to 3m

  • For the beam shown in below, determine the displacements and rotations at the nodes, the forces in each element, and reactions. Also, draw the shear force and bending moment diagrams 10 kN 2 E210 GPa...

    For the beam shown in below, determine the displacements and rotations at the nodes, the forces in each element, and reactions. Also, draw the shear force and bending moment diagrams 10 kN 2 E210 GPa .20 kN m For the beam shown in below, determine the displacements and rotations at the nodes, the forces in each element, and reactions. Also, draw the shear force and bending moment diagrams 10 kN 2 E210 GPa .20 kN m

  • Using force method , determine the reactions of the supports for the beam shown in Figure...

    Using force method , determine the reactions of the supports for the beam shown in Figure ( 5 ) . Then draw shear and bending moment diagrams for the beam El is constant Use conjugate beam method to determine deflections , 6 m 50 KN 200 kN. 9 m - 3 m Fig. (5) BEST WISHES

  • 500 N/m 2b Figure 1 (a) Determine the reactions at the supports at A and B....

    500 N/m 2b Figure 1 (a) Determine the reactions at the supports at A and B. 4 Marks) Determine the equations defining the shear force and bending moment at any (6 Marks) Draw the shear force and bending moment diagrams for the beam, showing the (6 Marks) (b) point between points A and C (c) values at all points between points A and B. (d) Find the dimensions of the cross-section of the beam if the allowable bending stress for...

  • QUESTION 2 Beam ABCD is 8 m in length and is pin-supported at A and roller-supported...

    QUESTION 2 Beam ABCD is 8 m in length and is pin-supported at A and roller-supported at C as shown in Figure Q2. A counter-clockwise concentrated moment acts about the support A. A uniformly-distributed load acts on span BC and a vertical concentrated load acts at the free end D a) Determine the reactions at supports A and C. 4 marks) b) Obtain the shear force and the bending moment functions (in terms of x) for each segment along the...

  • x7=12KN , x8=19kN/m,  x4=4m, x5=39m, x6=5m, Q2. In the 3-span beam shown in the Figure 2, the...

    x7=12KN , x8=19kN/m,  x4=4m, x5=39m, x6=5m, Q2. In the 3-span beam shown in the Figure 2, the support at C settles by 15 mm. Using the method of moment distribution method, a) Calculate joint moments (10 marks); b) Draw the bending moment diagram (10 marks); c) Calculate the supports' vertical reactions (10 marks); and d) Draw the shear force diagram (5 marks). Hint: For the calculation of Fixed End Moments, you can use the principle of superposition to add the settlement-related...

  • A simply supported beam as shown in the figure. The beam section is W18x211. The beam...

    A simply supported beam as shown in the figure. The beam section is W18x211. The beam must support its own weight and must carry the following loading: Super-imposed distributed dead load = 0.25 kip/ft Distributed live load = 1 kip/ft Concentrated dead load = 12 kip The beam span L = 26 ft and the distance of the concentrated load from the right support a=6 ft. Consider analy- sis of beam subjected to load combination 1.2 dead + 1.6 live....

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT