for problems 13.1 through 13.6 use the virtual-work method to deteermine the deflection of each of the joints marked on the trusses shown in the accompaning illistrations. The circled figures are areas in square inches and E=29x10^6 psi unless otherwise indicated. the areas are 4, 4, 4, 4, 4 on the outside with the two in the middle being 2 (as shown in the picture- the circled numbers). The image shows a diagram of a truss structure used in engineering and architecture education. Here’s a detailed breakdown:- **Truss Design**: The truss is composed of multiple members connected at joints, forming triangular units which provide stability.- **Length and Support**: The total length of the truss is 80 feet, divided into two sections of 40 feet each. It is supported on the left by a fixed support and on the right by a roller support.- **Loads**: - A central downward force of 60 kips (kilopounds) is applied at joint $ L_2 $. - Additional forces include 30 kips and 20 kips acting downward at two different joints to the right of $ L_2 $.- **Angles and Triangular Units**: - The truss includes several triangular sections which add to the structural integrity. - The vertical distance from the base to the peak of the truss is 15 feet at joint $ L_4 $.- **Labeling**: Each member of the truss is labeled with a number $ (4) $, indicating their importance or perhaps denoting equal lengths or properties within those members.This diagram aids in understanding load distribution and stability in a truss system, useful for engineering students learning about structural design.

Given:E=29 x 106 psiE=29 x 103 kipsin2To determine:Vertical deflection at each jointsNote: Please…

Answered: for problems 13.1 through 13.6 use the…

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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for problems 13.1 through 13.6 use the virtual-work method to deteermine the deflection of each of the joints marked on the trusses shown in the accompaning illistrations. The circled figures are areas in square inches and E=29x10^6 psi unless otherwise indicated. the areas are 4, 4, 4, 4, 4 on the outside with the two in the middle being 2 (as shown in the picture- the circled numbers).

The image shows a diagram of a truss structure used in engineering and architecture education. Here’s a detailed breakdown:

- **Truss Design**: The truss is composed of multiple members connected at joints, forming triangular units which provide stability.

- **Length and Support**: The total length of the truss is 80 feet, divided into two sections of 40 feet each. It is supported on the left by a fixed support and on the right by a roller support.

- **Loads**:
- A central downward force of 60 kips (kilopounds) is applied at joint $ L_2 $.
- Additional forces include 30 kips and 20 kips acting downward at two different joints to the right of $ L_2 $.

- **Angles and Triangular Units**:
- The truss includes several triangular sections which add to the structural integrity.
- The vertical distance from the base to the peak of the truss is 15 feet at joint $ L_4 $.

- **Labeling**: Each member of the truss is labeled with a number $ (4) $, indicating their importance or perhaps denoting equal lengths or properties within those members.

This diagram aids in understanding load distribution and stability in a truss system, useful for engineering students learning about structural design.

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Step 1 Given

$G i v e n : E = 29 x 10^{6} p s i E = 29 x 10^{3} \frac{k i p s}{i n^{2}} T o d e t e r m i n e : V e r t i c a l d e f l e c t i o n a t e a c h j o i n t s N o t e : P l e a s e p o s t a s e p e r a t e q u e s t i o n f o r d e t e r m i n i n i n g h o r i z o n t a l d e f l e c t i o n s a t e v e r y j o i n t s .$

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