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Problem 3.1: Six bolts are used to connect the steel member to the rigid support, as shown. The ultimate shear strength ($$\tau_u$$) of the bolts is 300 MPa. Determine the minimum bolt diameter required to support an applied force of P = 475 kN if a factor of safety FS = 4.0 is applied to the shear stress in the bolts. Answer: D = 25.923 mm Problem 3.2: The curved angle bracket ABD is supported at A by a single shear pin connection and at B by a tie rod (1) in double shear. The pins at B and C are each 0.75-in.-diameter pins, while the pin at A has a diameter of 1.25 in. The tie rod has a cross-sectional area of 1.50 $$in^2$$. The ultimate shear strength in each pin is 80 ksi, and the yield strength of the tie rod is 36 ksi. A force of 25 kips is applied as shown to the structure at D. Determine: (a) the normal stress in the tie rod (1). Answer: $$\sigma_1$$ = 26.76 ksi (b) the shearing stress in the pins at A and B. Answer: $$\tau_A$$ = 40.55 ksi, $$\tau_B$$ = 45.43 ksi (c) the factor of safety with respect to the yield strength for tie rod (1). Answer: $$FS_1$$ = 1.345 (d) the factor of safety with respect to the ultimate strength for the pins at A and B. Answer: $$FS_A$$ = 1.973, $$FS_B$$ = 1.761

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Water tends to change temperature slower than terrestrial environments due to hydrogen bonds causing higher heat capacity compared to air. cohesion and adhesion solid form (ice) is less dense than liquid form makes a good solvent

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Critics of business have claimed that managers often make decision that favored the making of quick book at the expense of long-term goal, such as long-term and sustainable profit. Please explain the circumstances that criticism is true when it is false

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Working capital management is primarily concerned with the management and financing of Group of answer choices cash and inventory only. current assets and current liabilities. current assets. receivables and payables.

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Negative eugenics is widely regarded as Impossible Permissible or obligatory Impermissible Prohibited

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Which item is an example of regulated biohazardous waste? Extracted third molar Operator mask Porcelain fused-to-metal crown that requires re-cementation Wet gauze

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Saliva plays a role in innate immunity because it: contains amylase. contains lysozyme. dissolves food so it can be tasted.

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QUESTION 5 The following financial information relates to Grand Investment: Details Pula Amount Capital 83 887 Trade accounts receivable 24500 Purchases 135 680 Sales 259 870 Trade accounts Payables 19 840 Returns out 13,407 Allowance for doubtful debts 512 Discount allowed 2 306 Discount received 1 750 Returns inwards 5,624 Carriage outwards 4 562 Drawings 18 440 Carriage inwards 11 830 Rent ,rates and insurance 25 973 Heating ,stationery and telephone 11 010 Advertising 2 410 Salaries and wages 38 521 Bad Debts 2 008 Cash in hand 534 Cash at bank 4 440 Inventory as at 1 May 2016 15 654 Fixtures and fittings – at cost 120 740 Accumulated depreciation (1 May 2016_) 63 020 Depreciation 12 074 Required: (a) Prepare an Income Statement for the business for the year ended 30 April, 2024.

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QUESTION FOUR [25] The age groups and the qualifications employee of uMhlathuze municipality is listed below. Age Diploma Bachelor Degrees Masters degree < 30 32 20 12 30 - 40 48 40 13 >40 20 10 5 If an employee is selected at random from this population, calculate the probability that the employee: 4.1.1 holds an Master degree. (2) 4.1.2 is between 30 and 40 years of age (3) 4.1.3 holds a diploma and between 30-40 years of age. (4) 4.1.4 holds a bachelor degree or is over 40 (4) 4.1.5 is Under 30, given that he/she has a diploma. (4) 4.1.6 holds a Masters degree or is over 40 years (4) 4.1.7 holds a Masters degree given that he is over 40 years (4)

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This fact situation applies to the last 6 consecutive questions: Dr. Miller a sole proprietor bought medical equipment in 2016 for $600,000. He correctly took depreciation expense on this equipment of $312,000 and then sold this equipment in the current year before his retirement to a premier medical center in Canada for $625,000 What if Dr. Miller sold the equipment for $250,000? What is the gain/loss? 38,000 capital loss 350,000 ordinary loss 350,000 capital loss 38,000 ordinary loss NONE of the choices are correct

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