Use Method of Section on Gambrel Truss and Find section Forces - Solved Example

Hi,

Problem:
This is a Gambrel Truss with 5 known load forces on it as shown below. Let's say the reaction forces are already found, at A(0, 959.6 N) and at H(0, 450 N). Each applied load is 300 N.

Use the method of sections to determine all the unknown external forces acting on section ABG. Using your results, list whether members BD, BE, and EG are in compression or tension?



Solution:



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High Point of a Vertical Crest Curve - Solved Example

Hi,

Problem:
A 1200 ft crest vertical curve is defined by grades of +2.0 percent and -4.0 percent, respectively. If the elevation and station of the PVC is 200 ft and 202 + 30 respectively. determine the elevation and station of the highest point on the curve.

Solution:


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Increase in flow when Two parallel Identical Rectangular channels are combined to form Single with same Depth

Hi,

Problem: Two parallel identical rectangular channels have a base width B= 3ft and are flowing with a depth D= 2ft. Calculate the percentage increase in flow rate if the channels were combined into a single rectangular channel of bse width 2*B = 6 ft and the same channel depth. 



Solution:


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Statics - Forces in three cables supporting a weight - (Solved Example)

Hi,

Problem:
Determine the force in CA, CB and in CD cable needed to support the 480-lb load. Give results with minimum 2 significant figures. 




Solution:



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Moment of Three Vector forces about a Point O and its Resultant (solved example)

Hi,

Problem: 

Determine the resultant moment about the fixed end at joint O.

F1 = (-60i + 40j +20k) lbs

F2 = (80i + 40j -30k) lbs

F3 = (40i + 20j - 15k) lbs

A) Show all steps using Cartesian Vector Notation.

B) Show all steps using Scalar Notation.

C) Show the final orientation of the MO on a sketch.

Solution:

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Extension of Tapered Bar (Cone Frustum) due to its Self weight and applied Load (Solved Example)

Hi,

Problem: A uniformly tapered bar of steel 500m long is suspended vertically and supports a land of 1KN attached to the lower end. The bar has a circular cross-section with a diameter of 10 mm at the lower end and 20 mm at the upper end.
Find the total extension of the bar due to its own weight and the suspended load. Take the specific weight of steel as
80 kN/m3 and E=210 GPa.

Solution:

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Force of water flow on Reducer - How to use continuity, Bernoulli, and Force Momentum equations (Hydraulics)

This looks like a small problem, but here you have to apply three hydraulics principles to get the force of flow of water onto the reducer. 

Problem:
A 100 L/s of water flows upward through the reducer as shown. Neglecting the head losses, compute the force of flow on the reducer. Be sure to include the weight of the water in the reducer. (Hint: Use the formula for the volume of the truncated cone.)


Solution:


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