Calculate the tension in the support wire

Reference no: EM13987514

A beam is attached to a vertical wall with a hinge. The mass of the beam is 1000 kg and it is 3 m long. A steel support wire is tied from the end of the beam to the wall, making an angle of 30^o with the beam (see the figure below). Recall the important values for steel: Young's modulus is 200 x 10⁹ N/m2, the shear modulus is 78 x 10⁹ N/m2, the bulk modulus is 140 x 10⁹ N/m2, the yield stress (elastic limit) is 290 x 10⁶ N/m2, and the ultimate breaking strength is 400 x 10⁶ N/m2.

(a) By summing the torque about the axis passing through the hinge, calculate the tension in the support wire. Assume the beam is uniform so that the weight acts at its exact center.

(b) What is the minimum cross-sectional area of the steel wire so that it is not permanently stretched?

Reference no: EM13987514

Questions Cloud

Calculate the annual break-even point in unit sales and in : The Fashion Shoe Company operates a chain of women's shoe shops that carry many styles of shoes that are all sold at the same price. Sales personnel in the shops are paid a substantial commission on each pair of shoes sold in order to encourage them ..

Problem regarding the machining and inspection : Calculate predetermined overhead rates for the two activities, machining and inspection. Suppose a job used 4,000 machine hours and 800 inspection hours. If the job size is 8,000 units, what is the overhead cost per unit?

What is the power output of the battery : A battery with potential of 1.50 V is in a circuit with 9.7 milliamps flowing. What is the power output of the battery?

Define and describe the marketing mix : Define and describe the Marketing Mix. Explain Porter’s Competitive Strategies Model and describe differentiation in a given industry. Explain Market Segmentation Strategy in a given market.

Calculate the tension in the support wire : By summing the torque about the axis passing through the hinge, calculate the tension in the support wire. Assume the beam is uniform so that the weight acts at its exact center.

Identify ethical principles and methodologies : Identify ethical principles and methodologies. Explain principles and procedural methodologies to resolve ethical problems. Compare the fundamental human need for health care and the constraining realities of the marketplace. Synthesize whether gover..

What challenges might delta confront in operating refinery : How can related diversification create a competitive advantage for the firm? Keeping the advantages of related diversification in mind, think back to the example in the chapter of Delta’s vertical integration decision to acquire an oil refinery—clear..

Find the probability that a randomly selected carton : If a carton contains more than one bad egg, the manager will replace the entire dozen and allow the customer to keep the original eggs. Find the probability that the manager will have to replace a randomly selected carton of eggs.

Glacial company estimates that variable costs will be 70 : Glacial Company estimates that variable costs will be 70% of sales, and fixed costs will total $711,750. The selling price of the product is $5. Compute the break-even point in (1) units and (2) dollars. Compute the margin of safety in (1) dollars an..

User Account

All Pages