Question

Consider the 10-m length beam shown in the figure. If the cross section is T shaped as shown [ 8 marks]. determine: a- The ma
0 0
Add a comment Improve this question Transcribed image text
Answer #1

Sol:- 12 KN 10 kN/m A B С RB HRO tam -5m 3m- calculate reaction at the supports - EMD=0 12 XID + 10X5(+3) - Rox8 = 0 8 RB 120- Calculate bending momert at every point MA = 0 MB = -12 X 2 = -24 uN.m Mc = -12x7 + ua.37585 - 10X582-5 = 37.875 KN.m (1005Zeto. Bending momert il marimum where Shear Force is Applying similarity of Triangles in SFD between B an c, we get 37.375 12B 200mm (Ь) 1 Iismm =h Yo = = 35.878 mm N 160mm =H 1 0 139.12 2 = 9mm = b Caludate Centeroid of T- section using ean- { Ai Yiusing manimum bending stress Calculate relation Tman. = Mmart. Yman. INA 0 45.84458 103 x 103 x 139-122 10577574.32 man .= 60

Add a comment
Know the answer?
Add Answer to:
Consider the 10-m length beam shown in the figure. If the cross section is T shaped...
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
  • Consider the 10-m length beam shown in the figure. If the cross section is T shaped...

    Consider the 10-m length beam shown in the figure. If the cross section is T shaped as shown [ 8 marks]. determine: a- The maximum bending moment at any location along the beam by drawing the bending diagram. [4 marks] b- The maximum bending stress at beam. [4 marks] 200 mm 15 mm 12 KN T 10 kN/m 160 mm A B с SD 2 m 5 m 3 m 9 mm

  • 4. A T-shaped cross-sectional beam is loaded as shown in the figure. Determine the following a....

    4. A T-shaped cross-sectional beam is loaded as shown in the figure. Determine the following a. Sketch the internal shear force and bending moment diagrams for the beam. b. Calculate the maximum magnitude of the bending stress. Indicate where this occurs on the cross-section and along the length of the beam. c. Calculate the transverse shearing stress at the centroid of the cross-section using the maximum magnitude of the transverse shear force. - 200 mm 8 KN 1.5 kN/m 20...

  • The overhanging beam in Figure 1a has the T-shaped cross section shown in Figure 1b. Determine...

    The overhanging beam in Figure 1a has the T-shaped cross section shown in Figure 1b. Determine the values and locations of the maximum tensile and compressive bending stresses. 20 kN 20 kN/m 45° 7 3 m Figure 1a 200 mm I 20 mm 200 mm 20 mm Figure 1b

  • PLEASE PRINT Question Four The beam has a cross section shown below and is subjected to...

    PLEASE PRINT Question Four The beam has a cross section shown below and is subjected to a 1 kN load as shown. The beam AB has a length of 3 m. a) Draw the shear force and bending moment diagrams. b) Determine the maximum bending stress. c) Where is the location of the maximum stress in b) above? 30 mm 30 mm 30 mm 50 mm t 40 mm 50 m 40mm

  • 4. (30%) For a beam with a T-section as shown, the cross-sectional dimensions of 12 mm....

    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)...

  • A rectangular cross section at a location along a beam in bending is

    (a). A rectangular cross section at a location along a beam in bending is acted upon by a bending moment and a shear force. The cross section is \(120 \mathrm{~mm}\) wide, \(300 \mathrm{~mm}\) deep and is orientated such that it is in bending about its major axis of bending. The magnitudes of the bending moment and shear force are \(315 \mathrm{kNm}\) and \(240 \mathrm{kN}\) respectively. Determine the maximum bending and shear stresses on the cross section. Plot the bending and...

  • a simply supported beam abcd with arectangular cross sectioncarries the loading shown in figure. the...

    a simply supported beam abcd with arectangular cross section carries the loading shown in figure. the uniform beam has a mass of 33 kg per meter (m kg/m) and a cross section as shown in the figure. you may take 10 m/s^2 as acceleration.Question A2 A simply supported beam ABCD with a rectangular cross-section carries the loading shown in Figure QA2. The uniform beam has a mass of m kg per meter of length (m kg/m) and a cross-section as shown...

  • A concentrated force P is applied in the middle of a simply supported beam with the T-shaped cross section shown. The m...

    A concentrated force P is applied in the middle of a simply supported beam with the T-shaped cross section shown. The maximum value of the load P so that the normal stress in the beam does not exceed 25 MPa is most closely: 150 mm P 30 mm 4m 4m 120 mm A' B A 40 mm A. 3.1 kN B. 5.8 kN Oc. 2.5 kN D. 4.3 kN A concentrated force P is applied in the middle of a...

  • Consider the beam shown in the figure: (12 marks] a- Use the section method to draw...

    Consider the beam shown in the figure: (12 marks] a- Use the section method to draw the shear force and bending moment diagrams for the beam shown. Label all significant points on each diagram. And identify the maximum moments along with their respective locations. [10 marks] b- Determine V and M in the beam at a point located 1.50 m to the right of B. [1 mark] C- Determine V and M in the beam at a point located 1.25...

  • The beam has the rectangular cross section shown. A beam of length 6 meters pin-supported 2...

    The beam has the rectangular cross section shown. A beam of length 6 meters pin-supported 2 meters from the left end and roller-supported 2 meters from the right end. The beam has a rectangular cross section with base length 50 millimeters and height 150 millimeters. Load: w, uniform along beam. Part A If w = 4 kN/m , determine the maximum bending stress in the beam. Can you please draw out the moment and shear diagrams for this one using...

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