To determine Find the force in the member DF , DG, and EG . Explanation Assumption: Apply the sign convention for calculating the equations of equilibrium as below. For the horizontal forces equilibrium condition, take the force acting towards right side as positive ( → + ) and the force acting towards left side as negative ( ← − ) . For the vertical forces equilibrium condition, take the upward force as positive ( ↑ + ) and downward force as negative ( ↓ − ) . For moment equilibrium condition, take the clockwise moment as negative and counter clockwise moment as positive. Calculation: Consider the horizontal and vertical reaction at A are denoted by A x and A y . Consider the vertical reaction at L is denoted by L y . The truss is symmetric about the center vertical line FG . Then, Calculate the vertical reaction at A and E using the reaction: A y = L y = ( Total load 2 ) A y = L y = ( 1.2 kN + 1.2 kN + 1.2 kN + 1.2 kN + 1.2 kN 2 ) A y = L y = 3 kN ( ↑ ) Consider a section passing through the DF , DG , and EG . Show the truss to the left of the section as shown in Figure 1. Refer to Figure 1. Consider the forces in the member DF, DG, and EG are denoted by F D G , F E G , F D F . Consider the sum of the moment about the point G is zero. ∑ M G = 0 8 m × 1 .2 kN + 4 m × 1 .2 kN − 10.25 m × 3 kN − 3 m × F D F = 0 − 16.35 kN ⋅ m − 3 m × F D F = 0 F D F = − 16.35 kN ⋅ m 3 m F D F = − 5

Vector Mechanics for Engineers: Statics, 11th Edition

11th Edition

ISBN: 9780077687304

Author: Ferdinand P. Beer, E. Russell Johnston Jr., David Mazurek

Publisher: McGraw-Hill Education

See similar textbooks

Concept explainers

Plane Trusses

It is defined as, two or more elements like beams or any two or more force members, which when assembled together, behaves like a complete structure or as a single structure. They generally consist of two force member which means any component structure …

Equilibrium Equations

If a body is said to be at rest or moving with a uniform velocity, the body is in equilibrium condition. This means that all the forces are balanced in the body. It can be understood with the help of Newton's first law of motion which states that the res…

Force Systems

When a body comes in interaction with other bodies, they exert various forces on each other. Any system is under the influence of some kind of force. For example, laptop kept on table exerts force on the table and table exerts equal force on it, hence th…

Videos

Question

Chapter 6.2, Problem 6.43P

To determine

Find the force in the member DF, DG, and EG.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 6.1, Problem 6.42P

Chapter 6.2, Problem 6.44P

Students have asked these similar questions

Determine the shear flow qqq for the given profile when the shear forces acting at the torsional center are Qy=30Q_y = 30Qy=30 kN and Qz=20Q_z = 20Qz=20 kN. Also, calculate qmax⁡q_{\max}qmax and τmax⁡\tau_{\max}τmax. Given:Iy=10.5×106I_y = 10.5 \times 10^6Iy=10.5×106 mm4^44,Iz=20.8×106I_z = 20.8 \times 10^6Iz=20.8×106 mm4^44,Iyz=6×106I_{yz} = 6 \times 10^6Iyz=6×106 mm4^44. Additional parameters:αy=0.5714\alpha_y = 0.5714αy=0.5714,αz=0.2885\alpha_z = 0.2885αz=0.2885,γ=1.1974\gamma = 1.1974γ=1.1974. (Check hint: τmax⁡\tau_{\max}τmax should be approximately 30 MPa.)

hand-written solutions only, please.

In the bending of a U-profile beam, the load path passes through the torsional center C, causing a moment of 25 kNm at the cross-section under consideration. Additionally, the beam is subjected to an axial tensile force of 100 kN at the centroid. Determine the maximum absolute normal stress.(Check hint: approximately 350 MPa, but where?)

Chapter 6 Solutions

Vector Mechanics for Engineers: Statics, 11th Edition

Ch. 6.1 - 6.1 through 6.8 Using the method of joints,...Ch. 6.1 - Prob. 6.2P Ch. 6.1 - Prob. 6.3P Ch. 6.1 - 6.1 through 6.8 Using the method of joints,...Ch. 6.1 - 6.1 through 6.8 Using the method of joints,...Ch. 6.1 - Using the method of joints, determine the force in...Ch. 6.1 - 6.1 through 6.8 Using the method of joints,...Ch. 6.1 - Prob. 6.8P Ch. 6.1 - 6.9 and 6.10 Determine the force in each member of...Ch. 6.1 - 6.9 and 6.10 Determine the force in each member of...

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.