  Three A36 steel bars are pin connected at the apex, point A, and at the three lower rigid supports to form a truss. The distance between the lower supports are 3ft. The length (think height) of the center bar is 4ft and the length of the outer two bars are 5ft. The truss consists of two 3-4-5 triangles.Given values:1. Length of members listed above.2. Triangle dimensions listed above.3. Height at A listed above.4. Cross sectional area of bars: 2 in^25. Delta T= 100 degrees F6. E for A36 steel= 29,000 ksi7. Coeff of thermal expansion= 6.60(10^-6)/degree FFIND: The vertical displacement at A after the temperature increase.

Question

Three A36 steel bars are pin connected at the apex, point A, and at the three lower rigid supports to form a truss. The distance between the lower supports are 3ft. The length (think height) of the center bar is 4ft and the length of the outer two bars are 5ft. The truss consists of two 3-4-5 triangles.
Given values:
1. Length of members listed above.
2. Triangle dimensions listed above.
3. Height at A listed above.
4. Cross sectional area of bars: 2 in^2
5. Delta T= 100 degrees F
6. E for A36 steel= 29,000 ksi
7. Coeff of thermal expansion= 6.60(10^-6)/degree F

FIND: The vertical displacement at A after the temperature increase.

Step 1

Given Data:

Cross Sectional Area of bar = 2 in 2

∆T= 100 degrees F

E for A36 steel = 29000 ksi

Coeff. of thermal expansion = 6.60 x 10 -6/ degree F

Step 2

Here we need to find the force exerted on the member to calculate the deflection at point “A” due to temperature.

Step 3

Let’s calculate ...

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Civil Engineering 