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QUESTION 6 The T-Beam shown below will be designed for +Md 395 kN-m (flange will be in compressio...
QUESTION 6 The T-Beam shown below will be designed for +Md 395 kN-m (flange will be...
QUESTION 6 The T-Beam shown below will be designed for +Md 395 kN-m (flange will be in compression). Given that the material grades are C20 and $420, calculate the required steel reinforcement for this section a) by using the approximate method b) by using the equilibrium equations Compare your results in (a) and (b) and comment on them. 600 120m d'-40 mm 300nm Cross-Section
The continuous beam shown in Fig. 1 is part of a beam-and-slab floor system of an...
The continuous beam shown in Fig. 1 is part of a beam-and-slab floor system of an office building and is typical of a series of beams spaced at 4 m intervals. In addition to the dead load, the live load on the floor is 3 kPa. Using f'c = 32MPa, N32 bars for main reinforcement, a) Find the maximum positive and negative moments using the AS3600 simplified method. b) Design the beam cross-section for the maximum amount of tensile steel...
A reinforced concrete cantilevered beam with a span of 5 m extends from the wall, as shown in the...
A reinforced concrete cantilevered beam with a span of 5 m extends from the wall, as shown in the figure below. The beam has a rectangular cross-section and supports a uniform dead load (DL) of 15 kN/m (excluding the self-weight) and a uniform live load (LL) of 25 kN/m. The beam width is restricted to 400 mm. Use 10M stirrups and 25M bars for tension steel. The maximum aggregate size is 20 mm. 1ie 5.5. beam is located in the...
Problem 2: For the beam shown below: 16.0 kN/m 8.0 kN/m 16.8 mm 354 mm 9.4...
Problem 2: For the beam shown below: 16.0 kN/m 8.0 kN/m 16.8 mm 354 mm 9.4 mm 50 kN 205 mm 4.0 m Beam Cross Section 4.0 m 4.0 m (a) Draw and label the axial, shear, and bending moment diagrams for the beam. (b) Determine the location and magnitude of maximum forces in the beam (axial, shear, and moment). (c) At the location of the maximum forces, draw the distribution of normal and shear stresses over the depth of...
As shown in Figure 8, the structural member (beam) is 7m long, carries a 2 kN point load, a 1.2 kN/m uniformly distribu...
As shown in Figure 8, the structural member (beam) is 7m long, carries a 2 kN point load, a 1.2 kN/m uniformly distributed load and is supported at points A and B. The beam is constructed from two pieces of steel plate (2 at 80mm x 8mm) that are welded together with 3mm welds. Section properties for the beam are also listed. Given the support reactions as RAv 5.8 kN and RBv 2.2 kN, as well as the shear force...
Question 2 (30 marks) The wood beam below (cross section dimensions 150 x 250 mm, as...
Question 2 (30 marks) The wood beam below (cross section dimensions 150 x 250 mm, as indicated) is strengthened at the bottom using 3 steel reinforcement plates of the same 12mm thickness (see figure), perfectly glued to the wooden beam. The modulus of elasticity for wood is E,-12 GPa and for steel E,-200 GPa. Given the allowable stresses (in both tension and compression) for wood ơw-12 MPa and for steel Ơs = 150 MPa, determine the largest possible moment due...
The beam shown in the figure consists of a W360 79 structural steel wide-flange shape [E...
The beam shown in the figure consists of a W360 79 structural steel wide-flange shape [E = 200 GPa; 1 = 225 x 100 mm"]. For the loading shown, determine: (a) the reactions at A, B, and C. Enter a positive value for a reaction force that acts upward on the beam, or a negative value for a reaction force that acts downward. (b) the magnitude of the maximum bending stress in the beam. Enter a positive value for the...
Question 3 For the simply supported steel beam with cross section and loading shown (see Figure...
Question 3 For the simply supported steel beam with cross section and loading shown (see Figure 3a), knowing that uniformly distributed load w=60 kN/m, Young modulus E = 200 GPa, and yield stress Cyield=200 MPa (in both tension and compression). ул 15 mm w=60 kN/m ... 1 B A 15 mm + 300 mm IC - i 2.5m 1 1 15 mm 7.5m 1 150 mm Figure 3a (a) Check if: the beam is safe with respect to yielding (using...
Design for Shear Dus Tuosday April 23, 2019 Problem # 1: For the beam shown below, design the cri...
Design for Shear Dus Tuosday April 23, 2019 Problem # 1: For the beam shown below, design the critical section for shear usng # 10 U-shaped strups. Neglect cokumn width n your cakcuhtion Given: b-350 mm,f,' 21 MPa.,6-420 MPa, and d-600 + 35-635 mm. 00 KN (L) 40 KN/m (D 600 mm 740 mm 8 #29 70 mm 4 m 4 m 70 mm 350 mm Problem # 2: Re-solve Example (3) in te lecture notes (Notes l 1) using...
Consider the rectangular beam shown below 25 kN/m 10 kN 0.2 m 0.2 m 0.5 m...
Consider the rectangular beam shown below 25 kN/m 10 kN 0.2 m 0.2 m 0.5 m 1 m (10pts) Find the critical location or segment of the beam where stresses will be maximum. (10pts) The beam has a square cross section with a side of 25mm. Find the principal stresses at the top or bottom of the cross section, at the location or segment found in point 2 (10pts) The beam is made of 52100 chromium steel, with a yield...
QUESTION 6 The T-Beam shown below will be designed for +Md 395 kN-m (flange will be in compression). Given that the material grades are C20 and $420, calculate the required steel reinforcement for this section a) by using the approximate method b) by using the equilibrium equations Compare your results in (a) and (b) and comment on them. 600 120m d'-40 mm 300nm Cross-Section
The continuous beam shown in Fig. 1 is part of a beam-and-slab floor system of an office building and is typical of a series of beams spaced at 4 m intervals. In addition to the dead load, the live load on the floor is 3 kPa. Using f'c = 32MPa, N32 bars for main reinforcement, a) Find the maximum positive and negative moments using the AS3600 simplified method. b) Design the beam cross-section for the maximum amount of tensile steel...
A reinforced concrete cantilevered beam with a span of 5 m extends from the wall, as shown in the figure below. The beam has a rectangular cross-section and supports a uniform dead load (DL) of 15 kN/m (excluding the self-weight) and a uniform live load (LL) of 25 kN/m. The beam width is restricted to 400 mm. Use 10M stirrups and 25M bars for tension steel. The maximum aggregate size is 20 mm. 1ie 5.5. beam is located in the...
Problem 2: For the beam shown below: 16.0 kN/m 8.0 kN/m 16.8 mm 354 mm 9.4 mm 50 kN 205 mm 4.0 m Beam Cross Section 4.0 m 4.0 m (a) Draw and label the axial, shear, and bending moment diagrams for the beam. (b) Determine the location and magnitude of maximum forces in the beam (axial, shear, and moment). (c) At the location of the maximum forces, draw the distribution of normal and shear stresses over the depth of...
As shown in Figure 8, the structural member (beam) is 7m long, carries a 2 kN point load, a 1.2 kN/m uniformly distributed load and is supported at points A and B. The beam is constructed from two pieces of steel plate (2 at 80mm x 8mm) that are welded together with 3mm welds. Section properties for the beam are also listed. Given the support reactions as RAv 5.8 kN and RBv 2.2 kN, as well as the shear force...
Question 2 (30 marks) The wood beam below (cross section dimensions 150 x 250 mm, as indicated) is strengthened at the bottom using 3 steel reinforcement plates of the same 12mm thickness (see figure), perfectly glued to the wooden beam. The modulus of elasticity for wood is E,-12 GPa and for steel E,-200 GPa. Given the allowable stresses (in both tension and compression) for wood ơw-12 MPa and for steel Ơs = 150 MPa, determine the largest possible moment due...
The beam shown in the figure consists of a W360 79 structural steel wide-flange shape [E = 200 GPa; 1 = 225 x 100 mm"]. For the loading shown, determine: (a) the reactions at A, B, and C. Enter a positive value for a reaction force that acts upward on the beam, or a negative value for a reaction force that acts downward. (b) the magnitude of the maximum bending stress in the beam. Enter a positive value for the...
Question 3 For the simply supported steel beam with cross section and loading shown (see Figure 3a), knowing that uniformly distributed load w=60 kN/m, Young modulus E = 200 GPa, and yield stress Cyield=200 MPa (in both tension and compression). ул 15 mm w=60 kN/m ... 1 B A 15 mm + 300 mm IC - i 2.5m 1 1 15 mm 7.5m 1 150 mm Figure 3a (a) Check if: the beam is safe with respect to yielding (using...
Design for Shear Dus Tuosday April 23, 2019 Problem # 1: For the beam shown below, design the critical section for shear usng # 10 U-shaped strups. Neglect cokumn width n your cakcuhtion Given: b-350 mm,f,' 21 MPa.,6-420 MPa, and d-600 + 35-635 mm. 00 KN (L) 40 KN/m (D 600 mm 740 mm 8 #29 70 mm 4 m 4 m 70 mm 350 mm Problem # 2: Re-solve Example (3) in te lecture notes (Notes l 1) using...
Consider the rectangular beam shown below 25 kN/m 10 kN 0.2 m 0.2 m 0.5 m 1 m (10pts) Find the critical location or segment of the beam where stresses will be maximum. (10pts) The beam has a square cross section with a side of 25mm. Find the principal stresses at the top or bottom of the cross section, at the location or segment found in point 2 (10pts) The beam is made of 52100 chromium steel, with a yield...
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