Answered: MB = ? | bartleby

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Hint 1 for Part A. How to approach the problem

Analyze the frame using approximate methods for statically indeterminate structures with vertical loads. Apply the required assumptions regarding zero moment points in order to reduce the frame to the one that is statically determinate. Then, use the equations of equilibrium to determine the moment exerted on the frame at joint A.

Hint 2 for Part A. What assumptions should be made to solve the problem

Since the girder located within a building bent and subjected to a uniform vertical load is statically indeterminate to the third degree, an approximate analysis will therefore require three assumptions to make the girder statically determinate. Each girder having the length L may be modeled by a simply supported span of length 0.8L resting on two cantilevered ends, each having a length of 0.1L. This model incorporates the following three assumptions:
1. There is zero moment in the girder, 0.1L from the left support.
2. There is zero moment in the girder, 0.1L from the right support.
3. The girder does not support an axial force.

M_A = ?

b) Determine (approximately) the moment the ground exerts on the frame at joint B.

Hint 1for Part B. How to approach the problem

Hint 2 for Part B. What assumptions should be made to solve the problem

Since the girder located within a building bent and subjected to a uniform vertical load is statically indeterminate to the third degree, an approximate analysis will therefore require three assumptions to make the girder statically determinate. Each girder having the length L may be modeled by a simply supported span of length 0.8LL resting on two cantilevered ends, each having a length of 0.1L. This model incorporates the following three assumptions:
1. There is zero moment in the girder, 0.1L from the left support.
2. There is zero moment in the girder, 0.1L from the right support.
3. The girder does not support an axial force.

M_B = ?