A cross section through a wooden beam 200mm side by 220mm deep is shown in figure 3a. The beam has recently been strengthened by the addition of two steel plates 205mm deep by 5mm thick which have been bolted to each face of the beam. The beam is simply supported and carries a uniformly distributed load of 6kN/m on a span of 5m. (i) What was the max bending stress in the wooden beam before the addition of the steel plates? (Ignore the self-weight of the beam in your calculations.) (ii) Determine for the strengthened beam the maximum stress in the steel and wood due to flexure. (Assume that the bolts are adequate to ensure composite action and ignore the effect of any bolt holes on the cross section properties. The load was removed during the addition of the steel plates and then reapplied to the new composite beam). Take the elastic modulus for steel as Es=200 x 10° N/m² and for the wood Ew = 10 x 10⁰ N/m² 5 5 200 7.5 220mm Figure 3a: Cross Section 205 7.5

A cross section through a wooden beam 200mm side by 220mm deep is shown in figure 3a. The beam has recently been strengthened by the addition of two steel plates 205mm deep by 5mm thick which have been bolted to each face of the beam. The beam is simply supported and carries a uniformly distributed load of 6kN/m on a span of 5m. (i) What was the max bending stress in the wooden beam before the addition of the steel plates? (Ignore the self-weight of the beam in your calculations.) (ii) Determine for the strengthened beam the maximum stress in the steel and wood due to flexure. (Assume that the bolts are adequate to ensure composite action and ignore the effect of any bolt holes on the cross section properties. The load was removed during the addition of the steel plates and then reapplied to the new composite beam). Take the elastic modulus for steel as Es=200 x 10° N/m² and for the wood Ew = 10 x 10⁰ N/m² 5 5 200 7.5 220mm Figure 3a: Cross Section 205 7.5

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

Situation 2. A 4m cantilever beam has a live load of 50 kN at its free end. A. . Draw the shear and bending moment diagrams of the beam considering its live loadonly. B. If the allowable stress is 150 MPa, what is the most economic W-flange that might be used? C. What is the actual maximum stress in the beam?
A wooden beam has a width of 150 mm and 300 mm depth loaded as shown. The maximum allowable flexural stress is 8 MPa. 1. Which of the following gives the moment capacity of the beam? a. 18 kN-m b. 10 kN-m c. 20 kN-m d. 14 kN-m 2. Which of the following gives the maximum safe value of x if w = 10 kN/m? a. 1.987 m b. 1.897 m c. 2.631 m d. 2.415 m 3. Which of the following gives the maximum safe value of P if w = 10 kN/m and x is value in previous problem? a. 18 kN b. 20 kN c. 12 kN d. 24 kN
A beam having a span of 4m is subjected to a maximum shear of 20 kN. It has a triangular cross - section having a base width of 140 mm and an altitude of 300 mm. Which of the following gives the maximum shearing stress developed on the beam? a. 1.43 MPa b. 1.80 MPa c. 1.62 MPa d. 1.78 MPa
A rectangular beam has a dimension of 210 mm x 260 mm. The simply supported beam is 5-m long and carries a concentrated load of 25 KN at the midspan. What is the maximum flexural stress of the beam? Blank 1 (use two decimal places)
A simply supported rectangular beam of length 6.45m has a width of 437.5 and an effective depth of692.5. The beam is to be reinforced using 12 ?? bars. The beam supports service dead loads of31 kN/m and 39.5kN/m., respectively. 1. Calculate the ultimate moment capacity of the beam.2. Calculate the height of the equivalent stress block.3. Determine the number of bars required for this beam
A simply supported rectangular beam of length 6.45m has a width of 437.5 and an effective depth of 692.5. The beam is to be reinforced using 12 mm bars. The beam supports service dead loads of 31 kN/m and 39.5kN/m., respectively. the fc' is 28MPa, fy is 420MPa and Wu is 89.9kN/m. 1. what is the ultimate moment capacity of the beam? 2. what is the height of the equivalent stress block? 3. Determine the number of bars required for this beam
A simply supported beam L meters long carries a uniformly distributed load of 6.8 KN/m over its entire length and has the cross section shown . If the L used will cause a maximum flexural stress of 35 MPa, what maximum shearing stress in MPa is then developed?
A couple M of moment 8 kN·m acting in a vertical plane is applied to a W200 * 19.3 rolled-steel beam as shown. Determine (a) the angle that the neutral axis forms with the horizontal plane, (b) the maxi-mum stress in the beam
The safe stress , for a hollow steel column which carries an axial load of 2.1 x 10^3 kN is 25 MN/m^2. If the external diameter of the column is 30cm, determine the internal diameter.
A rectangular beam has a dimension of 210 mm x 260 mm. The simply supported beam is 5-m long and carries a uniform load equal to 12 KN/m. What is the maximum shearing stress of the beam?
A 5-m simply-supported beam supports a uniformly distributed load equal to 40 kN/m applied throughout the beam. What is the maximum flexural stress if the beam has a triangular cross-section with b = 300 mm and h = 600 mm? (in MPa)
A 5-m simply-supported beam supports a uniformly distributed load equal to 40 kN/m applied throughout the beam. What is the maximum flexural stress if the beam has a rectangular cross-section with b = 300 mm and h = 600 mm? (in MPa) answer in 3 decimal places