Chapter 5, Problem 83P

A bicycle chain consists of a series of small links, where each are 12 mm long between the centers of the pins (see figure). You might wish to examine a bicycle chain and observe its construction. Note particularly the pins, which have a diameter of 2.5 mm. To solve this problem, make two measurements on a bicycle (see figure): (1) the length L of the crank arm from main axle to pedal axle and (2) the radius R of the sprocket (the toothed wheel, sometimes called the chainring). (a) Using your measured dimensions, calculate the tensile force T in the chain due to a force F = 800 N applied to one of the pedals. (b) Calculate the average shear stress T averin the pins.

What moment must be applied to the crank of the mechanism illustrated in the figure if P = 4005N? Crank (link 2) is 75mm long andconnecting rod (link 3) is 350mm long.

Using Methods of Joints Find the force acting in all members of the truss shown in Figure T-01. B 80KN 2m A F D 2m 2m 2m 50kN

At the figure below you see a group of 2 springs - C1 and C2. Determine the type of connection (parallel or serial) and write the formula for the overall spring stiffness.

Identify the number of links, joints and mobility of the figure shown. Provide the kinematic diagram in your solution. Your answer Test specimen

For the five-spring assemblage shown in Figure P2- 17, determine the displacements at nodes 2 and 3 and the reactions at nodes 1 and 4. Assume the rigid vertical bars at nodes 2 and 3 connecting the springs remain horizontal at all times but are free to slide or displace left or right. There is an applied force at node 3 of 1000 N to the right. 1000 N Figure P2-17 Let k(1) = 500 N/mm, k(2) = k(3) = 300 N/mm, and k(4) = k(5) = 400 N/mm. %3D

The spring clamping force Fg = 2 N. The contact pressure force FA and the joint forces FB at the jump piece 1 should be determined for the toggle mechanism with a straight guide shown in figure. C 26 mm B 2 10 mm A 1 8 mm 7 mm D 10 mm 15 mm 10 mm

Identify the number of links, joints and mobility of the figure shown. Provide the kinematic diagram in your solution. Your answer

A simple structure is to be built to hold load at C as shown in Figure Q5. Body ABC is pin joint at wall A is regarded as a rigid body and is pin supported to rod BD at B. The respective dimensions are as shown in the figure. A support unit is to be connected by pin between point B and point D or point D' at the wall. a) Compare and analyze the two positions for the support unit not to fail by buckling when maximum load F is applied at C. Which position is the better choice between D and D' ? b) If load F is in opposite direction, what is the maximum load F that can be applied. (Properties of rod BD, E= 200GPA, G=77 GPa, v=0.3, o, = 250 MPa ) A 1.6m В 1.4m C 0.9m F 10mm 4mm D 0.8m 9. 15mm mm D' Crossection of Hollow Rod BD or BD'. ( 10mm x 15mm and 4mm x 9mm) Figure 05