DO SIG FIGS when solving A uniform beam with total length L is simply supported at...
DO SIG FIGS when solving
A uniform beam with total length L is simply supported at each end, A and B. The weight is W. There is a force G that acts downward at x feet from the right end, B. There is also a force F that acts downward at a point 3 ft to the left of where G acts. W is 1400 lbf, L is 27 ft, and G is 1200 lbf.
Construct a table for F = 1400 lbf downward, to determine the reactions at A and B, where x varies from 0 to 24 ft in increments of 3 ft.
| x | RA | RB |
| ft | lbf | lbf |
| 0 | ||
| 3 | ||
| 6 | ||
| 9 | ||
| 12 | ||
| 15 | ||
| 18 | ||
| 21 | ||
| 24 |
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DO SIG FIGS when solving
A uniform beam with total length L is simply supported
at...
A simply supported uniform beam (with length L and flexural rigidity El) carries a moment Mo...
A simply supported uniform beam (with length L and flexural rigidity El) carries a moment Mo (clockwise) at a distance -21B away from the left end (x-0). Calculate the deflection () and slope (dv/de) at 21/3 by using the Rayleigh-Ritz Method. Assume a deflection curve of the form v-asin(rx/L), where a is to be determined
Question 1 (6.7 points) AW12 x 50 steel beam is used as a simply supported beam...
Question 1 (6.7 points) AW12 x 50 steel beam is used as a simply supported beam on span of 24 feet. The beam supports a uniformly distributed load of 1000 lb/ft. Calculate the maximum bending stress. a) 9,560 psi Ob) 11,280 psi Oc) 13,460 psi d) none of the above Question 2 (6.7 points) Determine the number of 2 x 12's that need to be nailed together to build a beam that would support a uniform load of 500 lb/ft...
The simply supported beam has length L, elasticity modulus E, and cross-section with moment of inertia...
The simply supported beam has length L, elasticity modulus E, and cross-section with moment of inertia I. A concentrated force is applied at half point, as illustrated below 1/2 1/2 o The deflection curve for the the first half of the beam is given by: 21 (2) = + (- +) Obtain the equation for the deflection curve y(x) for L/2 < x < L, where: y2(x) = (Ao + A1 x + A2 x2 + A3 x3) When solving...
Q2 A simply supported beam of length L = 10 m carries a uniformly distributed load...
Q2 A simply supported beam of length L = 10 m carries a uniformly distributed load w of 10 kN/m, as shown in Figure Q2 (a). The beam is made from a symmetrical I-section and consists of three equal rectangular members of 100 mm x 10 mm (see Figure Q2 (b)). Self- weight of the beam is neglected. 100 mm w = 10 kN/m A- - A 100 mm 77777 L/3 L/3 L/3 — Figure Q2 (a) Figure Q2 (b)...
QUESTION 4 (25 marks) A simply supported beam is loaded by an uniform distributed load, wkN/m, over the span of the beam, L, as shown in Figure Q4. (a) Determine the end reactions at point A and...
QUESTION 4 (25 marks) A simply supported beam is loaded by an uniform distributed load, wkN/m, over the span of the beam, L, as shown in Figure Q4. (a) Determine the end reactions at point A and B in terms of w and L. (4 marks) (b) At an arbitrary point, x, express the internal mom (c) Show that the deflection curve of the beam under the loading situation is ent, M(x), in x, w, and L. (5 marks) 24EI...
Problem 1 A simply supported beam of length L = 5m is subjected to a point...
Problem 1 A simply supported beam of length L = 5m is subjected to a point load P= 20 kN at the mid span. Draw the shear force and bending moment diagram for the beam. If the beam is 300mm x 500mm, calculate the deflection at the midspan for the following orientations where the dashed line shows the bending axis. Explain the difference in results. Which orientation is better for beam performance and why? Take E = 30,000 MPa 300...
QI A simply supported beam of length L = 10 m carries a uniformly distributed load...
QI A simply supported beam of length L = 10 m carries a uniformly distributed load w of 10 kN/m, as shown in Figure QI (a). The beam is made from a symmetrical I-section and consists of three equal rectangular members of 100 mm x 10 mm (see Figure QI (b)). Self- weight of the beam is neglected. 100 mm w = 10 kN/m A-1 A 100 mm 1/3 L/3 L/3 m [5] Figure Q1 (a) Figure Q1 (b) (a)...
Q1 A simply supported beam of length L = 10 m carries a uniformly distributed load...
Q1 A simply supported beam of length L = 10 m carries a uniformly distributed load w = of 10 kN/m, as shown in Figure Q1 (a). The beam is made from a I-section and the thickness for all the three rectangular members is of 10 mm. All other dimensions are illustrated in Figure Q1 (b). Self-weight of the beam is neglected. 300 mm w = 10 kN/m 300 mm L/4 L/2 L/4 300 mm Figure Q1 (a) Figure Q1...
Q2 A simply supported beam of length L = 10 m carries a uniformly distributed load...
Q2 A simply supported beam of length L = 10 m carries a uniformly distributed load w = of 10 kN/m, as shown in Figure Q2 (a). The beam is made from a I-section and the thickness for all the three rectangular members is of 10 mm. All other dimensions are illustrated in Figure Q2 (b). Self-weight of the beam is neglected. 300 mm w = 10 kN/m т 300 mm 已 L/44 L/2 L/44 300 mm Figure Q2 (a)...
2 A simply supported beam of length L = 10 m carries both a uniformly distributed...
2 A simply supported beam of length L = 10 m carries both a uniformly distributed load w, of 10 kN/m and a non-uniformly distributed load with a maximum value of w2 =10 kN/m at its roller support, as shown in Figure Q2 (a). The beam is made from a I-section and the thickness for all the three rectangular members is of 10 mm. All other dimensions are illustrated in Figure 02 (b). Self-weight of the beam is neglected. 300...
A simply supported uniform beam (with length L and flexural rigidity El) carries a moment Mo (clockwise) at a distance -21B away from the left end (x-0). Calculate the deflection () and slope (dv/de) at 21/3 by using the Rayleigh-Ritz Method. Assume a deflection curve of the form v-asin(rx/L), where a is to be determined
Question 1 (6.7 points) AW12 x 50 steel beam is used as a simply supported beam on span of 24 feet. The beam supports a uniformly distributed load of 1000 lb/ft. Calculate the maximum bending stress. a) 9,560 psi Ob) 11,280 psi Oc) 13,460 psi d) none of the above Question 2 (6.7 points) Determine the number of 2 x 12's that need to be nailed together to build a beam that would support a uniform load of 500 lb/ft...
The simply supported beam has length L, elasticity modulus E, and cross-section with moment of inertia I. A concentrated force is applied at half point, as illustrated below 1/2 1/2 o The deflection curve for the the first half of the beam is given by: 21 (2) = + (- +) Obtain the equation for the deflection curve y(x) for L/2 < x < L, where: y2(x) = (Ao + A1 x + A2 x2 + A3 x3) When solving...
Q2 A simply supported beam of length L = 10 m carries a uniformly distributed load w of 10 kN/m, as shown in Figure Q2 (a). The beam is made from a symmetrical I-section and consists of three equal rectangular members of 100 mm x 10 mm (see Figure Q2 (b)). Self- weight of the beam is neglected. 100 mm w = 10 kN/m A- - A 100 mm 77777 L/3 L/3 L/3 — Figure Q2 (a) Figure Q2 (b)...
QUESTION 4 (25 marks) A simply supported beam is loaded by an uniform distributed load, wkN/m, over the span of the beam, L, as shown in Figure Q4. (a) Determine the end reactions at point A and B in terms of w and L. (4 marks) (b) At an arbitrary point, x, express the internal mom (c) Show that the deflection curve of the beam under the loading situation is ent, M(x), in x, w, and L. (5 marks) 24EI...
Problem 1 A simply supported beam of length L = 5m is subjected to a point load P= 20 kN at the mid span. Draw the shear force and bending moment diagram for the beam. If the beam is 300mm x 500mm, calculate the deflection at the midspan for the following orientations where the dashed line shows the bending axis. Explain the difference in results. Which orientation is better for beam performance and why? Take E = 30,000 MPa 300...
QI A simply supported beam of length L = 10 m carries a uniformly distributed load w of 10 kN/m, as shown in Figure QI (a). The beam is made from a symmetrical I-section and consists of three equal rectangular members of 100 mm x 10 mm (see Figure QI (b)). Self- weight of the beam is neglected. 100 mm w = 10 kN/m A-1 A 100 mm 1/3 L/3 L/3 m [5] Figure Q1 (a) Figure Q1 (b) (a)...
Q1 A simply supported beam of length L = 10 m carries a uniformly distributed load w = of 10 kN/m, as shown in Figure Q1 (a). The beam is made from a I-section and the thickness for all the three rectangular members is of 10 mm. All other dimensions are illustrated in Figure Q1 (b). Self-weight of the beam is neglected. 300 mm w = 10 kN/m 300 mm L/4 L/2 L/4 300 mm Figure Q1 (a) Figure Q1...
Q2 A simply supported beam of length L = 10 m carries a uniformly distributed load w = of 10 kN/m, as shown in Figure Q2 (a). The beam is made from a I-section and the thickness for all the three rectangular members is of 10 mm. All other dimensions are illustrated in Figure Q2 (b). Self-weight of the beam is neglected. 300 mm w = 10 kN/m т 300 mm 已 L/44 L/2 L/44 300 mm Figure Q2 (a)...
2 A simply supported beam of length L = 10 m carries both a uniformly distributed load w, of 10 kN/m and a non-uniformly distributed load with a maximum value of w2 =10 kN/m at its roller support, as shown in Figure Q2 (a). The beam is made from a I-section and the thickness for all the three rectangular members is of 10 mm. All other dimensions are illustrated in Figure 02 (b). Self-weight of the beam is neglected. 300...
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