Given:a. the force in BD=25KNb. vertical reaction at point C=-10KNc. horizontal reaction at point C=15KNd. resultant of reaction at point C=18.0KNe. allowable tensile (normal) stress in member BD =83.33MPaf. the allowable shear stress in the pin at C =72.7MPaPlease help me solve for:1. What is the required cross-section area and minimum thickness t of member BD?2. What is the required SHEAR cross-section area at point C?3. What is the minimum diameter for the pin at C?(Solve for a value with the combination of mm and N) Shown below is an idealization of a structure in which member fiD is a metal bar of width b - 25-mm. Member BD is pin connected at both ends as shown The Yield strength of the material for BDis SIGMA-yield - 250 MPa and the ultimate shear strength of the material for the pin at C, TAU-ultimate 240 MPa. The factor of safety against yielding failure of member BD is FS-3.0. Thefactor of safety against ultimate shear failure at the pin at C is FS-3.3. We will be able to design thebar BD (determine thickness t) and the pin at C (determine the diameter of the pin) by answering thequestions askedParameters P-10 kN, L-3-m and h-2-mt = thickness-L/2BL/2dotView a-aC

Answered: force in BD=25KN b. vertical…

force in BD=25KN b. vertical reaction at point C=-10KN c. horizontal reaction at point C=15KN d. resultant of reaction at point C=18.0KN e. allowable tensile (normal) stress in m

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter1: Tension, Compression, And Shear

Section: Chapter Questions

Problem 1.9.4P: Two steel tubes are joined at B by four pins (dp= 11 mm), as shown in the cross section a—a in the...

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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

Given:
a. the force in BD=25KN
b. vertical reaction at point C=-10KN
c. horizontal reaction at point C=15KN
d. resultant of reaction at point C=18.0KN
e. allowable tensile (normal) stress in member BD =83.33MPa
f. the allowable shear stress in the pin at C =72.7MPa
Please help me solve for:
1. What is the required cross-section area and minimum thickness t of member BD?
2. What is the required SHEAR cross-section area at point C?
3. What is the minimum diameter for the pin at C?
(Solve for a value with the combination of mm and N)

Shown below is an idealization of a structure in which member fiD is a metal bar of width b - 25-
mm. Member BD is pin connected at both ends as shown The Yield strength of the material for BD
is SIGMA-yield - 250 MPa and the ultimate shear strength of the material for the pin at C, TAU-
ultimate 240 MPa. The factor of safety against yielding failure of member BD is FS-3.0. The
factor of safety against ultimate shear failure at the pin at C is FS-3.3. We will be able to design the
bar BD (determine thickness t) and the pin at C (determine the diameter of the pin) by answering the
questions asked
Parameters P-10 kN, L-3-m and h-2-m
t = thickness-
L/2
B
L/2
dot
View a-a
C

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Step 1: Write the resultant force at C.

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Step 2: Determine the cross-section area and thickness.

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Step 3: Determine the value of cross-section area at c and diameter.

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