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Problem: for the frame below, assume L₁=L₂=6ft, L3=L₁=10ft, h=10 ft; P1=P₂=30k, P,=20k; and E=29,000 ksi for all beams and columns. Also assume that beams have the size of W24x84 for the two stories, W21x50 for the third story, and W14x211 for all the columns.

Problem: for the frame below, assume L₁=L₂=6ft, L3=L₁=10ft, h=10 ft; P1=P₂=30k, P,=20k; and E=29,000 ksi for all beams and columns. Also assume that beams have the size of W24x84 for the two stories, W21x50 for the third story, and W14x211 for all the columns.

Structural Analysis
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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Draw moment diagram please
**Portal Method Problem:** For the frame below, assume: - \( L_1 = L_2 = 6 \, \text{ft}, L_3 = L_4 = 10 \, \text{ft}, h = 10 \, \text{ft} \) - \( P_1 = P_2 = 30 \, \text{k}, P_3 = 20 \, \text{k} \) - \( E = 29,000 \, \text{ksi for all beams and columns} \) Also assume that beams have the size of W24x84 for the two stories, W21x50 for the third story, and W14x211 for all the columns. **Frame Diagram:** - The frame consists of vertical columns and horizontal beams arranged in a rectangular grid. - There are labels indicating points on the frame such as \( P, Q, R, S, T \) for the top beam and \( A, B, C, D, E \) for the bottom points. - Loads \( P_1, P_2, \) and \( P_3 \) are applied horizontally to the left side of the frame at different levels, corresponding with beams \( F, K, \) and \( P \), respectively. - Dimensions for each section of the frame are indicated: \( L_1, L_2, L_3, L_4 \) (horizontally) and \( h \) (vertically). **Part a:** Use the portal method to solve the reaction forces and the moment diagram of the frame.
Transcribed Image Text:**Portal Method Problem:** For the frame below, assume: - \( L_1 = L_2 = 6 \, \text{ft}, L_3 = L_4 = 10 \, \text{ft}, h = 10 \, \text{ft} \) - \( P_1 = P_2 = 30 \, \text{k}, P_3 = 20 \, \text{k} \) - \( E = 29,000 \, \text{ksi for all beams and columns} \) Also assume that beams have the size of W24x84 for the two stories, W21x50 for the third story, and W14x211 for all the columns. **Frame Diagram:** - The frame consists of vertical columns and horizontal beams arranged in a rectangular grid. - There are labels indicating points on the frame such as \( P, Q, R, S, T \) for the top beam and \( A, B, C, D, E \) for the bottom points. - Loads \( P_1, P_2, \) and \( P_3 \) are applied horizontally to the left side of the frame at different levels, corresponding with beams \( F, K, \) and \( P \), respectively. - Dimensions for each section of the frame are indicated: \( L_1, L_2, L_3, L_4 \) (horizontally) and \( h \) (vertically). **Part a:** Use the portal method to solve the reaction forces and the moment diagram of the frame.
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