Question 1 The figure shows a horizontally rigid beam whose own mass is m. The beam is homogeneous and gravity attacker in the center of the bar. The acceleration of gravity is g. The length of the beam is L. The bar is simply supported on the left side. The beam is held horizontally by a vertical string that is attached at a distance BL from the left endpoint BL F al al L/2 x = 0 x = L On the beam piece 0sxs al an evenly distributed load acts with the intensity p = In the following, a is a dimensionless parameter that can assume values between 0 and 1, and B A dimensionless parameter between % and 1. In addition, a is always less than B 0

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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Question 1
The figure shows a horizontally rigid beam whose own mass is m. The beam is homogeneous and gravity
attacker in the center of the bar. The acceleration of gravity is g. The length of the beam is L.
The bar is simply supported on the left side. The beam is held horizontally by a vertical string that is
attached at a distance BL from the left endpoint
BL
F
p =
al
al
L/2
x = 0
x = L
On the beam piece 0 <x< al an evenly distributed load acts with the intensity p =- In the following, a is
%3D
a dimensionless parameter that can assume values between 0 and 1, and BA dimensionless parameter
between ½ and 1. In addition, a is always less than B
0< a < ßs1 og÷<ßs1
1. Draw
free play diagram
the beam and replace the distributed load
an equivalent force
2. Calculate the cord force S expressed by a, B, F og mg.
3. Find the vertical reaction in the left support unprinted by a, ß, F og mg.
It is stated that the cord has a tensile strength of T = mg. The cord power must not exceed T.
4. Show that the cord can carry the maximum load
Fmax
-(2B – 1)
mg
Transcribed Image Text:Question 1 The figure shows a horizontally rigid beam whose own mass is m. The beam is homogeneous and gravity attacker in the center of the bar. The acceleration of gravity is g. The length of the beam is L. The bar is simply supported on the left side. The beam is held horizontally by a vertical string that is attached at a distance BL from the left endpoint BL F p = al al L/2 x = 0 x = L On the beam piece 0 <x< al an evenly distributed load acts with the intensity p =- In the following, a is %3D a dimensionless parameter that can assume values between 0 and 1, and BA dimensionless parameter between ½ and 1. In addition, a is always less than B 0< a < ßs1 og÷<ßs1 1. Draw free play diagram the beam and replace the distributed load an equivalent force 2. Calculate the cord force S expressed by a, B, F og mg. 3. Find the vertical reaction in the left support unprinted by a, ß, F og mg. It is stated that the cord has a tensile strength of T = mg. The cord power must not exceed T. 4. Show that the cord can carry the maximum load Fmax -(2B – 1) mg
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