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Figure P12.38 shows a light truss formed from three struts lying in a plane and joined by three smooth hinge pins at their ends. The truss supports a downward force of
Figure P12.38
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Chapter 12 Solutions
PHYSICS FOR SCI.AND ENGR W/WEBASSIGN
- Consider a nanotube with a Youngs modulus of 2.130 1012 N/m2 that experiences a tensile stress of 5.3 1010 N/m2. Steel has a Youngs modulus of about 2.000 1011 Pa. How much stress would cause a piece of steel to experience the same strain as the nanotube?arrow_forwardA uniform wire (Y = 2.0 1011 N/m2) is subjected to a longitudinal tensile stress of 4.0 107 N/m2. What is the fractional change in the length of the wire?arrow_forwardEa- d ms A horizontal L=1.4 m long mb3D12kg uniform bar is hinged on the left end and pulled at the right end by a cable. The cable makes 30° angle with horizontal. A 22 kg store sign is suspended below the bar at d=0.18 m from the right end. Find the magnitude of horizontal hinge force.arrow_forward
- The leg bone (femur) breaks under a compressive force of about 7.90 × 104 N for a human and 11.3 × 104 N for a horse. The human femur has a compressive strength of 160 MPa, whereas the horse femur has a compressive strength of 140 MPa. What is the effective cross-sectional area of the femur in a horse? (Note: Since the center of the femur contains bone marrow, which has essentially no compressive strength, the effective cross-sectional area is about 80% of the total cross-sectional area.)arrow_forwardA cylindrical steel wire that is 2 m long must stretch no more than 0.25 cm when the applied tensile force is 700 N to each end of the wire. Find the minimum cross-sectional radius that is required for the wire if the Ysteel is 20 x 1010 Pa. Choices in the image.arrow_forwardThe truss is made of three A-36 steel members, each having a cross-sectional area of 400 mm2. Determine the magnitude P required to displace the roller to the right 0.2 mm.arrow_forward
- As shows a light truss formed from three struts lying in a plane and joined by three smooth hinge pins at their ends. The truss supports a downward force of F→ = 1 000 N applied at the point B. The truss has negligible weight. The piers at A and C are smooth. (a) Given θ1 = 30.0° and θ2 = 45.0°, find nA and nC. (b) One can show that the force any strut exerts on a pin must be directed along the length of the strut as a force of tension or compression. Use that fact to identify the directions of the forces that the struts exert on the pins joining them. Find the force of tension or of compression in each of the three bars.arrow_forwardA bar ACB has is subjected to an external load at C, and it is supported either end by a cable as shown in fig. below. Calculate the smallest area of each cable if the stress is not to exceed 90 MPa in bronze and 120 MPa in steel. Bronze 5m Steel 3 m 4 m C 8m B 12m 10 KNarrow_forwardAxial loads are applied with rigid bearing plates to the solid cylindrical rods shown in the figure. One load of P 35 kips is applied to the assembly at A, two loads of Q = 25 kips are applied at B, and two loads of R = 34 kips are applied at C. The normal stress magnitude in aluminum rod (1) must be limited to 16 ksi. The normal stress magnitude in steel rod (2) must be limited to 35 ksi. The normal stress magnitude in brass rod (3) must be limited to 21 ksi. Determine the minimum diameter required for each of the three rods. P d₁ d2 d3 = || = = i i 1 1 i 1 B Q с in. in. in. R R Darrow_forward
- A uniform rod is attached to a wall by a hinge at its base. The rod has a mass of 3.5 kg, a length of 1.3 m, is at an angle of 31° above the horizontal, and is held in place by a horizontal cord attached to the other end of the rod and bolted to the wall above the base of the rod. (a) Determine the tension in the cord. N (b) Determine the horizontal and vertical components of the force exerted on the rod by the hinge. N FH Fv Narrow_forwardIn the figure, suppose the length L of the uniform bar is 3.00 m and its weight is 200 N. Also, let the block's weight W = 300 N and the angle 0 = 30 °. The wire can withstand a maximum tension of 500N. (a) Find the maximum possible distance x before the wire breaks? (b) Find the horizontal and vertical components of the force com B on the bar from hinge A when the block placed at the maximum x.arrow_forwardA rectangular cantilever beam AB has point A positioned at the origin of the coordinate system and point B at coordinates (1.2, -0.3, 2.4) m. The vector r₁ = (1î + 12ĵ + 1ê) m is oriented parallel to the thin cross-sectional dimension, and is perpendicular to to FAB (directed along the beam axis AB). Z P a Verify that r₁ is perpendicular to TAB 2 TAB X b Determine the unit vector 2 that is perpendicular to both r₁ and rab and has the orientation shown in the figure. c Assuming that the force P applied to point B of the beam has 1000 N magnitude and direction angles x 144°, 0y = 72°, and 0₂ = 60°; Determine the components of the 1000 N force, namely PAB, P₁, and P2, in the directions AB, 7₁, and 2, respectively. = =arrow_forward
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