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Questions 2, 3, and 4 are based on this diagram and information. աա The 19 mm...
Part 1 The 225 x 225 x 1,350-mm oak [E = 12 GPa) block (2) shown is reinforced by bolting two 5 x 225 x 1,350 mm steel [E = 200 GPa) plates (1) to opposite sides of the block. A concentrated load of 410 kN is applied to a rigid cap. Assume P = 410 kN, L = 1.35 m. Determine (a) the normal stresses in the steel plates (1) and the oak block (2). (b) the shortening of...
A steel rod whose diameter is equal to 15 mm is held between
rigid walls with no initial stress, see 2(a). The steel properties are ? = 12 × 10?6/ oC
and E = 200 GPa.
(a) What is the temperature drop
?T (in degrees Celsius) at which the average shear stress in the
12-mm diameter bolt becomes 55 MPa.
(b) At the temperature that you defined in (a), what is the
normal stress in the rod?
(c) What are...
2. A rectangular beam, 400 x 600 mm gross dimension, is cast using a concrete strength of fc 30 MPa, reinforced with 5-25 mm diameter steel bar at the effective depth of 500 mm. If is subjected to a moment, M 130 kN-m. Determine the following: Magnitude of the bending moment that cracks the singly-reinforced beam section. (10 pts) b. For the computed cracking moment, determine the maximum compressive stress in the concrete and the stress in the tension steel....
Member (1) is a solid 50 mm diameter cylinder made from magnesium. The modulus of elasticity is 44.7 GPa and the thermal coefficient of expansion is 26 x 106/°C. The cylinder is placed in a clamp when the temperature is 20℃ Two stainless steel carriage bolts (2) hold the cylinder snug with negligible force against the rigid jaws of the clamp. Each bolt has a diameter of 10 mm, modulus of elasticity of 193 GPa, and a coefficient of thermal...
Question 3 For the simply supported steel beam with cross section and loading shown (see Figure 3a), knowing that uniformly distributed load w=60 kN/m, Young modulus E = 200 GPa, and yield stress Cyield=200 MPa (in both tension and compression). ул 15 mm w=60 kN/m ... 1 B A 15 mm + 300 mm IC - i 2.5m 1 1 15 mm 7.5m 1 150 mm Figure 3a (a) Check if: the beam is safe with respect to yielding (using...
Chapter 5, Reserve Problem 079 (Multistep) A cylindrical bronze sleeve (2) is held in compression against a rigid machine wall by a high-strength steel bolt (1), as shown in the figure. The steel [E = 204 GPa; a = 11.7 x 10-6/°C] bolt has a diameter of 24 mm. The bronze [E = 105 GPa; a = 22.0 x 10-6/°C] sleeve has an outside diameter of 72 mm, a wall thickness of 8 mm, and a length of L =...
2. A steel bar 100 mm long and having a square cross section 20 mm on an edge is pulled in tension with a load of 89,000 N and experiences an elongation of 0.10 mm. Assuming that the deformation is entirely elastic, calculate the elastic modulus of steel. Give your answer in GPa. 3. A zinc single crystal is being pulled in tension with the normal to its basal plane (0001) at 60° to the tensile axis and the slip...
Question 2 (30 marks) The wood beam below (cross section dimensions 150 x 250 mm, as indicated) is strengthened at the bottom using 3 steel reinforcement plates of the same 12mm thickness (see figure), perfectly glued to the wooden beam. The modulus of elasticity for wood is E,-12 GPa and for steel E,-200 GPa. Given the allowable stresses (in both tension and compression) for wood ơw-12 MPa and for steel Ơs = 150 MPa, determine the largest possible moment due...
M5.14 Coaxial bars with temperature change scenes AT-105°C 110 mm2 160 GPa 17.71א / 2600 mm 450 mm (1) 40 GPa 1300 mm 1300 mm (2) 23.7x10 /oC (2) A (kN) F. P= 15 kN A rigid horizontal bar ABC is supported by three vertical rods (properties given). The system is stress free before the load is applied. After the load P is applied, the temperature of all three rods is raised by the indicated AT. Determine: the internal force...
Required information The 4-mm-diameter cable BC is made of a steel with E= 200 GPa. Knowing that the maximum stress in the cable must not exceed 200 MPa and that the elongation of the cable must not exceed 7 mm. Ifa - 3 m and b 4 m, find the allowable load P that can be applied as shown