Your colleague asks you to help them with the design of the beam shown on the right. Specifically, you are asked to perform the following so that the moment connection at A can be designed: A 12 ft B 5 ft (a) Use the Müller-Breslau principle to develop qualitative influence lines (IL) to determine the live load patterns that will produce maximum (positive and negative) shear forces and bending moments at A. The live load consists of a distributed load, w₁ = 1.0 kip/ft and one concentrated load, P₁ = 7.5 kip. (b) Determine the maximum (positive and negative) factored shear forces, V₁ at A and their associated bending moments. (c) Determine the maximum (positive and negative) factored bending moments, M, at A and their associated shear forces. For (b) and (c): Use the three-moment equation for your calculations using the moment at A as the redundant. Assume a dead load, Wp = 125 lb/ft. Use standard ASCE 7-22 load factors and combinations.
Your colleague asks you to help them with the design of the beam shown on the right. Specifically, you are asked to perform the following so that the moment connection at A can be designed: A 12 ft B 5 ft (a) Use the Müller-Breslau principle to develop qualitative influence lines (IL) to determine the live load patterns that will produce maximum (positive and negative) shear forces and bending moments at A. The live load consists of a distributed load, w₁ = 1.0 kip/ft and one concentrated load, P₁ = 7.5 kip. (b) Determine the maximum (positive and negative) factored shear forces, V₁ at A and their associated bending moments. (c) Determine the maximum (positive and negative) factored bending moments, M, at A and their associated shear forces. For (b) and (c): Use the three-moment equation for your calculations using the moment at A as the redundant. Assume a dead load, Wp = 125 lb/ft. Use standard ASCE 7-22 load factors and combinations.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:Your colleague asks you to help them with
the design of the beam shown on the right.
Specifically, you are asked to perform the
following so that the moment connection at
A can be designed:
A
12 ft
B
5 ft
(a) Use the Müller-Breslau principle to
develop qualitative influence lines (IL) to determine the live load patterns that will produce
maximum (positive and negative) shear forces and bending moments at A. The live load
consists of a distributed load, w₁ = 1.0 kip/ft and one concentrated load, P₁ = 7.5 kip.
(b) Determine the maximum (positive and negative) factored shear forces, V₁ at A and their
associated bending moments.
(c) Determine the maximum (positive and negative) factored bending moments, M, at A and their
associated shear forces.
For (b) and (c): Use the three-moment equation for your calculations using the moment at A as
the redundant. Assume a dead load, Wp = 125 lb/ft. Use standard ASCE 7-22 load factors and
combinations.
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