3- Let the density of the pyramid material be p = 2000 kg/m. Determine the average...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
3- Let the density of the pyramid material be p = 2000 kg/m. Determine the average normal stress at a cross section located at x measured from the apex. Express the stress as a function of x. Assume g = 9.81 m/s. Hints: Weight has a unit of force and equals mg where m denotes the mass. The volume of a pyramid is V = lwh/3. Mass is as M = pV. (2 Pnts) 4- 50 m 20 m h h 20 m A bar is made of a metal with a tensile strength of 80 MPa. (a) Calculate the minimum cross-sectional area of the bars such that the truss can withstand the load shown. Assume a factor of safety as S.F=1.6. (b) If the joint between the members is as shown, determine the average shear stress in the pin of the lap joint. (2 Pnts) NAC 4 m 20 KN 20 KN 3 m N AB D-10 mm 1- For the splice joint shown the dimensions are L = 20 mm and W = 10 mm. Note that the lap length is L/2 for each side of the joint. (a) Determine the maximum tensile force if the shear strength of the glue is ultimate = 10 MPa. (b) Assume a factor of safety as S.F = 1.5 and calculate the allowable magnitude of the load. (2Pnts) P L-2L-2 W P 2222 P P 2- Two pieces of timber are to join using a dowel joint. The entire surface of the joint is glued as shown. If the tensile and shear strengths of the glue are 15 MPa and 10 MPa respectively, calculate the maximum tensile load that the joint can withstand. Assume that the bases of the dowels are not glued. Also, assume that the normal stress on the flat surface and the shear stress on the surfaces of the dowels simultaneously attain their maximum values. (2 Pnts) P 20 mm: P 150 mm 10 mm 10 40 mm 20mm 3- Let the density of the pyramid material be p = 2000 kg/m. Determine the average normal stress at a cross section located at x measured from the apex. Express the stress as a function of x. Assume g = 9.81 m/s. Hints: Weight has a unit of force and equals mg where m denotes the mass. The volume of a pyramid is V = lwh/3. Mass is as M = pV. (2 Pnts) 4- 50 m 20 m h h 20 m A bar is made of a metal with a tensile strength of 80 MPa. (a) Calculate the minimum cross-sectional area of the bars such that the truss can withstand the load shown. Assume a factor of safety as S.F=1.6. (b) If the joint between the members is as shown, determine the average shear stress in the pin of the lap joint. (2 Pnts) NAC 4 m 20 KN 20 KN 3 m N AB D-10 mm 1- For the splice joint shown the dimensions are L = 20 mm and W = 10 mm. Note that the lap length is L/2 for each side of the joint. (a) Determine the maximum tensile force if the shear strength of the glue is ultimate = 10 MPa. (b) Assume a factor of safety as S.F = 1.5 and calculate the allowable magnitude of the load. (2Pnts) P L-2L-2 W P 2222 P P 2- Two pieces of timber are to join using a dowel joint. The entire surface of the joint is glued as shown. If the tensile and shear strengths of the glue are 15 MPa and 10 MPa respectively, calculate the maximum tensile load that the joint can withstand. Assume that the bases of the dowels are not glued. Also, assume that the normal stress on the flat surface and the shear stress on the surfaces of the dowels simultaneously attain their maximum values. (2 Pnts) P 20 mm: P 150 mm 10 mm 10 40 mm 20mm
Expert Answer:
Answer rating: 100% (QA)
The density of the material is p 2000 kgm3 Calculate the volume of a pyramid V13 lwh1... View the full answer
Related Book For
Posted Date:
Students also viewed these mechanical engineering questions
-
Calculate the shear force V and bending moment M at a cross section located 0.5 m from the fixed support of the cantilever beam AB shown in the figure. 4.0 kN 1.5 kN/m 1.0 m1.0 m-2.0 m
-
The beam ABC shown in the figure is simply supported at A and B and has an overhang from B to C. The loads consist of a horizontal force P1 = 4.0 kN acting at the end of a vertical arm and a vertical...
-
Write a java program that will find the minimum value and print it to the console for the given array: {72, 101, 108, 108, 111, 32, 101, 118, 101, 114, 121, 111, 110, 101, 33, 32, 76, 111, 111, 107,...
-
Write equations for ketone body synthesis and degradation. What is the net result of combined synthesis and degradation?
-
State the principles to be applied in absorbing costs into products?
-
Name three tax planning opportunities that taxpayers need to be familiar with.
-
Carl made the following transfers during the current year. Transferred $900,000 in cash and securities to a revocable trust, life estate to him- self and remainder interest to his three adult...
-
Due to issues with a current supplier, an alternate supply of finished product packaging was found. the packaging materials were quickly implemented and used. after a week of production it was...
-
Hypothetical: In a custody dispute, Bill kidnapped his biological daughter from his ex-wife's home in California and transported her to Arizona. Bill's attorney presents the court with an Arizona...
-
John Haley hired Mary Black as a bookkeeper at Florida Dental Center, Inc. Haley fired Black when he learned that she embezzled more than $ 2 0 0 , 0 0 0 and did not pay over $ 1 5 0 , 0 0 0 in state...
-
Discuss the circumstances under which the corporate veil of Tulonga (Pty) Ltd may be lifted under Namibian company law. Discuss the conditions that are applied by the courts in Namibia when...
-
A convex lens of focal length 25 cm forms an image on a screen placed 1.5 cm from it's center. Determine a) the position of the object b) The magnification
-
What would make a personality test reliable and valid?
-
Cairo Inc. owns a bond that is accounted for using the cost/amortized cost model. At the reporting period's end, the carrying value of the bond is $960,000. Management believes that the fair market...
-
1. How has Natureview succeeded in the natural foods channel? 2. What are the two primary types of growth strategies under consideration by Natureview? 3a. How do the three options compare...
-
What are the main distinctions between the different schools of legal interpretation?
-
When a honeybee flies through the air, it develops a charge of +17 pC. How many electrons did it lose in the process of acquiring this charge?
-
Falling raindrops frequently develop electric charges. Does this create noticeable forces between the droplets? Suppose two 1.8 mg drops each have a charge of +25 pC; these are typical values. The...
-
A housefly walking across a surface may develop a significant electric charge through a process similar to frictional charging. Suppose a fly picks up a charge of +52 pC. How many electrons does it...
Study smarter with the SolutionInn App