Find the distribution of the remaining strength

Assignment Help Basic Statistics

Reference no: EM131852909

In a harbor structure exposed to the sea, cracks form along the length of tension members in the reinforced-concrete trusses. Crack occurrence along the length of the member follows a (spatial) Poisson process with mean rate of 2/ft. The members are 20 ft long. A crack exposes the reinforcing steel to corrosion at that point. At any point in time the amount of corrosion and hence the strength loss at any crack is approximately exponentially distributed. At present the mean loss is 1 kip. The remaining strength of any member is its initial strength, 100 kips, minus the largest strength loss along the member.

(a) Find the distribution of the remaining strength of any member.

(b) What is the probability that any particular member will fail when subjected to an applied force of 90 kips?

(c) What is the distribution of the strength of a (statically determinate) truss that will fail if any of 10 such (independent) tension members fail? (Neglect the possibility that failure of the truss will be caused by anything other than failure of one of these 10 members.) A unit load causes a unit force in each member.

Reference no: EM131852909

Questions Cloud

How the manager stimulated innovation in the organization : Describe how the organization overcame the resistance to the change. Identify how the manager stimulated innovation in the organization.

Apply techniques related to complex project management : PPMP 20014 Complex Project Management - Identify different tools and techniques to aid a project manager manage complex projects

Probability of nine or more accidents : Is the probability of nine or more accidents with an unchanged average rate 5, small enough."

What is yield to maturity of the bond-what is current yield : What is the yield to maturity of the bond? What is the current yield?

Find the distribution of the remaining strength : (a) Find the distribution of the remaining strength of any member. (b) What is the probability that any particular member will fail when subjected to an applie

What if the distribution was paid : Elk Company reports negative current E & P of $200,000 and positive accumulated E & P of $300,000. Elk distributed $200,000 to its sole shareholder.

How the project is on track with the original time schedule : how the project is on track with the original time schedule and expectations. The timeline should be in a table format, outlining each specific task of project.

Accumulated cars to enter the intersection : A traffic signal is said to "fail" if it does not provide a sufficiently long green signal for the accumulated cars to enter the intersection.

What is the total overhead cost : What is the total overhead cost that should be assigned to product D under the activity-based costing system?

User Account

All Pages