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Q1 Calculate the plastic modulus S, of the section shown below. All dimensions are in mm....
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)...
Q1. Determine the plastic moment of a steel beam made of elastoplastic material. The beam cross-section...
Q1. Determine the plastic moment of a steel beam made of elastoplastic material. The beam cross-section is shown in the figure below. The yield strength of the material is 240 MPa. Q1(a). Determine the distance of neutral axis in mm (the distance y bar) from the bottom of the cross-section. The distance y bar is shown in Q1(b). Q1(b). The cross-section of the beam is divided according to the areas shown in the figure below Determine the resultant force R1...
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...
Q4. Determine the section modulus S, plastic modulus Z and the shape factor about the horizontal...
Q4. Determine the section modulus S, plastic modulus Z and the shape factor about the horizontal axes, for the section shown in Fig. Q4. (25%) 150 mm, A 10 mm 280 mm 10 mm 10 mm 150 mm Fig. Q4
The dimensions for the W 21x62 beam cross section (shown below) are in inches: tf =...
The dimensions for the W 21x62
beam cross section (shown below) are in inches: tf =
.615, tw = .4, bf = 8.24, d = 21. What is the
moment of inertial I about the neutral axis?
Point E у tw 15 kips 1 bf Point F
4kN 150 mm 2kN Problem 1, subjected to two concentrated forces and has a as shown in the figures The cantilever beam, (fixed at A)s 0 mm30 mm -30 mm (a) Determine the maximum shear stress on the...
4kN 150 mm 2kN Problem 1, subjected to two concentrated forces and has a as shown in the figures The cantilever beam, (fixed at A)s 0 mm30 mm -30 mm (a) Determine the maximum shear stress on the section (b) Determine the maximum bending stress in compression and in tension (c) If the allowable bending stress (for tension and compression) is ơao.-6 MPa, calculate the new minimum required section modulus.
4kN 150 mm 2kN Problem 1, subjected to two concentrated...
1. (20 pts) Consider the L-stiffener with the cross-section geometry shown a) (S pts) Determine t...
1. (20 pts) Consider the L-stiffener with the cross-section geometry shown a) (S pts) Determine the location of the Centrorid (i.e. find a and b) b) (5 pts) Determine the moments and product of inertia using the coordinate axes shown (i.e. findふ1, and in). c) (5 pts) If the maximum allowable stress in 12 ksi (tension or compression), determine the largest allowable bending moment about the e axis, Mo. As part of your work, determine where the maximum tensile and...
Class Activity Consider an unreinforced concrete beam cross section with the dimensions (in inches) shown in...
Class Activity Consider an unreinforced concrete beam cross section with the dimensions (in inches) shown in the figure. The comcrete is sormal-weight with 6000 psi145Ib/f The section is subjected to a positive beading moment of 500 kip-ft about its horizontal axis causing compression and tension on the faces as shown. Assume the section remains elastic under this moment 15 Tension 20 Determine centroid of the section from the compression face. Answer: c-7.622 in (A) Determine moment of inertia of the...
Q8 (6 marks) A shaded cross section is shown in Figure 8. All dimensions are in...
Q8 (6 marks) A shaded cross section is shown in Figure 8. All dimensions are in mm, The position of the centroid (denoted by 0 of the section, yo, is most nearly equal to: 400 a) 169.3 mm b) 174.4 mm c) 189.4 mm d) 192.5 mm e) 210.6 mm 300 400 20 FIGURE 8
Q1. A 2 m long T-beam is built-in at one end and has a force of...
Q1. A 2 m long T-beam is built-in at one end and has a force of 7 kN applied at its free end. The dimensions of the cross-section of the beam are shown in Fig. Q1 and the force acts at 10° to the vertical though the centroid of the section. 7 KN 1 -10° 251 -y 100 1 44 32 44 all dimensions in mm Fig. Q1 - Cross-sectional Dimensions of T-beam (a) Find the position of the centroid...
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)...
Q1. Determine the plastic moment of a steel beam made of elastoplastic material. The beam cross-section is shown in the figure below. The yield strength of the material is 240 MPa. Q1(a). Determine the distance of neutral axis in mm (the distance y bar) from the bottom of the cross-section. The distance y bar is shown in Q1(b). Q1(b). The cross-section of the beam is divided according to the areas shown in the figure below Determine the resultant force R1...
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...
Q4. Determine the section modulus S, plastic modulus Z and the shape factor about the horizontal axes, for the section shown in Fig. Q4. (25%) 150 mm, A 10 mm 280 mm 10 mm 10 mm 150 mm Fig. Q4
The dimensions for the W 21x62
beam cross section (shown below) are in inches: tf =
.615, tw = .4, bf = 8.24, d = 21. What is the
moment of inertial I about the neutral axis?
Point E у tw 15 kips 1 bf Point F
4kN 150 mm 2kN Problem 1, subjected to two concentrated forces and has a as shown in the figures The cantilever beam, (fixed at A)s 0 mm30 mm -30 mm (a) Determine the maximum shear stress on the section (b) Determine the maximum bending stress in compression and in tension (c) If the allowable bending stress (for tension and compression) is ơao.-6 MPa, calculate the new minimum required section modulus.
4kN 150 mm 2kN Problem 1, subjected to two concentrated...
1. (20 pts) Consider the L-stiffener with the cross-section geometry shown a) (S pts) Determine the location of the Centrorid (i.e. find a and b) b) (5 pts) Determine the moments and product of inertia using the coordinate axes shown (i.e. findふ1, and in). c) (5 pts) If the maximum allowable stress in 12 ksi (tension or compression), determine the largest allowable bending moment about the e axis, Mo. As part of your work, determine where the maximum tensile and...
Class Activity Consider an unreinforced concrete beam cross section with the dimensions (in inches) shown in the figure. The comcrete is sormal-weight with 6000 psi145Ib/f The section is subjected to a positive beading moment of 500 kip-ft about its horizontal axis causing compression and tension on the faces as shown. Assume the section remains elastic under this moment 15 Tension 20 Determine centroid of the section from the compression face. Answer: c-7.622 in (A) Determine moment of inertia of the...
Q8 (6 marks) A shaded cross section is shown in Figure 8. All dimensions are in mm, The position of the centroid (denoted by 0 of the section, yo, is most nearly equal to: 400 a) 169.3 mm b) 174.4 mm c) 189.4 mm d) 192.5 mm e) 210.6 mm 300 400 20 FIGURE 8
Q1. A 2 m long T-beam is built-in at one end and has a force of 7 kN applied at its free end. The dimensions of the cross-section of the beam are shown in Fig. Q1 and the force acts at 10° to the vertical though the centroid of the section. 7 KN 1 -10° 251 -y 100 1 44 32 44 all dimensions in mm Fig. Q1 - Cross-sectional Dimensions of T-beam (a) Find the position of the centroid...
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