4. Use the method of joints to determine the forces in members AD, AB, AC, BC, and CD of the simple planar truss given in the figure, which is kept in static equilibrium by a pin at D and a roller at E. Also state whether each truss member is in tension or compression. 5 ft → - 5 ft 12 ft D 3 kip A 7 ft O 400 lb B E

4. Use the method of joints to determine the forces in members AD, AB, AC, BC, and CD of the simple planar truss given in the figure, which is kept in static equilibrium by a pin at D and a roller at E. Also state whether each truss member is in tension or compression. 5 ft → - 5 ft 12 ft D 3 kip A 7 ft O 400 lb B E

International Edition---engineering Mechanics: Statics, 4th Edition

4th Edition

ISBN:9781305501607

Author:Andrew Pytel And Jaan Kiusalaas

Publisher:Andrew Pytel And Jaan Kiusalaas

Chapter4: Coplanar Equilibrium Analysis

Section: Chapter Questions

Problem 4.125P: The figure shows a three-pin arch. Determine the horizontal component of the pin reaction at A...

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Concept explainers

Axial Load

When a bar of the uniform cross-section is acted by a load, such that the load acts along the longitudinal axis of the bar, such kinds of loadings are known as axial loadings. In general terms, a load is an external force acting on a component. An axial load acts perpendicular to the geometric cross-section of the component. Based on the direction of the application of the load, an axial load can be tensile or compressive. The analysis of bodies under the action of axial loads is generally studied under the branch of mechanics, known as statics.

Question

4. Use the method of joints to determine the forces in members AD, AB, AC, BC, and CD of the
simple planar truss given in the figure, which is kept in static equilibrium by a pin at D and
a roller at E. Also state whether each truss member is in tension or compression.
5 ft →
7 ft
- 5 ft
12 ft
D
3 kip A
O
400 lb
B
E

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Step 1: Given data

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Step 2: Draw FBD of given truss and calculation of support reactions

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Step 3: Calculation of member forces

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Step 4: Calculation of member forces

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Step 5: Calculation of member forces

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Step 6: Calculation of member forces

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When you substitute AD in step 5, why do you get rid of the negative? In step 4 you keep it negative when finding CD.

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