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3. Determine the maximum permissible load, q, on the 9 올 B symmetrically loaded beam of length L = 14 m shown here, if the cross-sectional area of the beam is a rectangle that is 1800 mm high by 200 mm wide, and UCS =UTS = 110 MPa and USS = 50 MPa. Hints: This problem allows you to practice two powerful tools the principle of superposition, and the use of symmetry -to make this problem much easier to solve. You want tools these in your toolkit, so learn and practice them here and then remember them or add them to your notes! a. L= 14 m The principle of superposition: This load is combination of two distributed loads as shown below. i. Divide the problem into two problems BEFORE you even find the support reactions. 9/2 9/2 L + L A i. B A B Find V(x) and M(x) due to each of the partial loads, as though they are separate problems. Then, add the two together to get the total internal loads V(x) and M(x). b. When a beam is symmetrically loaded, the stresses are symmetric around the mid-point, so you can just solve for x

3. Determine the maximum permissible load, q, on the 9 올 B symmetrically loaded beam of length L = 14 m shown here, if the cross-sectional area of the beam is a rectangle that is 1800 mm high by 200 mm wide, and UCS =UTS = 110 MPa and USS = 50 MPa. Hints: This problem allows you to practice two powerful tools the principle of superposition, and the use of symmetry -to make this problem much easier to solve. You want tools these in your toolkit, so learn and practice them here and then remember them or add them to your notes! a. L= 14 m The principle of superposition: This load is combination of two distributed loads as shown below. i. Divide the problem into two problems BEFORE you even find the support reactions. 9/2 9/2 L + L A i. B A B Find V(x) and M(x) due to each of the partial loads, as though they are separate problems. Then, add the two together to get the total internal loads V(x) and M(x). b. When a beam is symmetrically loaded, the stresses are symmetric around the mid-point, so you can just solve for x

Power System Analysis and Design (MindTap Course List)
Power System Analysis and Design (MindTap Course List)
6th Edition
ISBN:9781305632134
Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Chapter6: Power Flows
Section: Chapter Questions
Problem 6.61P
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3. Determine the maximum permissible load, q, on the 9 올 B symmetrically loaded beam of length L = 14 m shown here, if the cross-sectional area of the beam is a rectangle that is 1800 mm high by 200 mm wide, and UCS =UTS = 110 MPa and USS = 50 MPa. Hints: This problem allows you to practice two powerful tools the principle of superposition, and the use of symmetry -to make this problem much easier to solve. You want tools these in your toolkit, so learn and practice them here and then remember them or add them to your notes! a. L= 14 m The principle of superposition: This load is combination of two distributed loads as shown below. i. Divide the problem into two problems BEFORE you even find the support reactions. 9/2 9/2 L + L A i. B A B Find V(x) and M(x) due to each of the partial loads, as though they are separate problems. Then, add the two together to get the total internal loads V(x) and M(x). b. When a beam is symmetrically loaded, the stresses are symmetric around the mid-point, so you can just solve for x <L/2, and keep the simpler side.
Transcribed Image Text:3. Determine the maximum permissible load, q, on the 9 올 B symmetrically loaded beam of length L = 14 m shown here, if the cross-sectional area of the beam is a rectangle that is 1800 mm high by 200 mm wide, and UCS =UTS = 110 MPa and USS = 50 MPa. Hints: This problem allows you to practice two powerful tools the principle of superposition, and the use of symmetry -to make this problem much easier to solve. You want tools these in your toolkit, so learn and practice them here and then remember them or add them to your notes! a. L= 14 m The principle of superposition: This load is combination of two distributed loads as shown below. i. Divide the problem into two problems BEFORE you even find the support reactions. 9/2 9/2 L + L A i. B A B Find V(x) and M(x) due to each of the partial loads, as though they are separate problems. Then, add the two together to get the total internal loads V(x) and M(x). b. When a beam is symmetrically loaded, the stresses are symmetric around the mid-point, so you can just solve for x <L/2, and keep the simpler side.
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