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1. A beam of length L = 0.5m has a triangular cross sectional geometry, b = 2 cm wide at the top, pointed at the bottom, and h = 6 cm high. The beam is held by a solid support at end A, and a distributed 22 بعاد load of q = 1000 N/m is applied to half the beam as shown below. The weight of the beam itself ca be neglected. Does this exceed the allowable stresses on the beam, if the allowable stresses are ATS = 20 MPa, ACS = 20 MPa, and ASS = 10 MPa? (Hint: To calculate the moment caused by a distributed load, you need to calculate both the resultant force FR and the position XR at which this force is applied. Make sure when you do this, that you keep only the part of the distributed load that remains after the cut!) 2. This beam has a circular cross section with radius R and has length L, and is exposed to the loads shown. Assume that R << L. The allowable stresses are ATS = ACS S, and ASS = 0.5S. What is the minimum cross- sectional radius R allowed for the beam? M₁ 3M₁ B 1000

1. A beam of length L = 0.5m has a triangular cross sectional geometry, b = 2 cm wide at the top, pointed at the bottom, and h = 6 cm high. The beam is held by a solid support at end A, and a distributed 22 بعاد load of q = 1000 N/m is applied to half the beam as shown below. The weight of the beam itself ca be neglected. Does this exceed the allowable stresses on the beam, if the allowable stresses are ATS = 20 MPa, ACS = 20 MPa, and ASS = 10 MPa? (Hint: To calculate the moment caused by a distributed load, you need to calculate both the resultant force FR and the position XR at which this force is applied. Make sure when you do this, that you keep only the part of the distributed load that remains after the cut!) 2. This beam has a circular cross section with radius R and has length L, and is exposed to the loads shown. Assume that R << L. The allowable stresses are ATS = ACS S, and ASS = 0.5S. What is the minimum cross- sectional radius R allowed for the beam? M₁ 3M₁ B 1000

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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1. A beam of length L = 0.5m has a triangular cross sectional geometry, b = 2 cm wide at the top, pointed at the bottom, and h = 6 cm high. The beam is held by a solid support at end A, and a distributed 22 بعاد load of q = 1000 N/m is applied to half the beam as shown below. The weight of the beam itself ca be neglected. Does this exceed the allowable stresses on the beam, if the allowable stresses are ATS = 20 MPa, ACS = 20 MPa, and ASS = 10 MPa? (Hint: To calculate the moment caused by a distributed load, you need to calculate both the resultant force FR and the position XR at which this force is applied. Make sure when you do this, that you keep only the part of the distributed load that remains after the cut!) 2. This beam has a circular cross section with radius R and has length L, and is exposed to the loads shown. Assume that R << L. The allowable stresses are ATS = ACS S, and ASS = 0.5S. What is the minimum cross- sectional radius R allowed for the beam? M₁ 3M₁ B 1000
Transcribed Image Text:1. A beam of length L = 0.5m has a triangular cross sectional geometry, b = 2 cm wide at the top, pointed at the bottom, and h = 6 cm high. The beam is held by a solid support at end A, and a distributed 22 بعاد load of q = 1000 N/m is applied to half the beam as shown below. The weight of the beam itself ca be neglected. Does this exceed the allowable stresses on the beam, if the allowable stresses are ATS = 20 MPa, ACS = 20 MPa, and ASS = 10 MPa? (Hint: To calculate the moment caused by a distributed load, you need to calculate both the resultant force FR and the position XR at which this force is applied. Make sure when you do this, that you keep only the part of the distributed load that remains after the cut!) 2. This beam has a circular cross section with radius R and has length L, and is exposed to the loads shown. Assume that R << L. The allowable stresses are ATS = ACS S, and ASS = 0.5S. What is the minimum cross- sectional radius R allowed for the beam? M₁ 3M₁ B 1000
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