Problem 5 A bar AC of length 20 mm increases linearly in diameter from 1 mm at point A to 3 mm at point C. Point A is anchored to a solid support. At point B, half-way between points A and C, forces of 100 N are applied to the top and the bottom of the beam, as shown. The ultimate shear stress in the beam is 250 GPa, while the ultimate tensile and 1 mm 100 N TC B A C 3 mm 100 N✓ 20 mm compressive stresses are both 500 GPa. To simplify your calculations, you can assume that this bar will fail due to ultimate shear stress, not tensile or compressive stress. (Can you explain why? Try, but then check the key later this week to make sure you understand.). What is the maximum torque Tc you can apply (in the direction shown) to point C before the bar is expected to fail? Hints: 1) Is this a deformation problem, where you need to find the stresses at all values of x, or a failure problem, where you just need to find the position(s) of maximum stress? 2) This has more than one segment, so for each segment, you will need a different equation to calculate deformations or a different position of maximum stress. 3)

Problem 5 A bar AC of length 20 mm increases linearly in diameter from 1 mm at point A to 3 mm at point C. Point A is anchored to a solid support. At point B, half-way between points A and C, forces of 100 N are applied to the top and the bottom of the beam, as shown. The ultimate shear stress in the beam is 250 GPa, while the ultimate tensile and 1 mm 100 N TC B A C 3 mm 100 N✓ 20 mm compressive stresses are both 500 GPa. To simplify your calculations, you can assume that this bar will fail due to ultimate shear stress, not tensile or compressive stress. (Can you explain why? Try, but then check the key later this week to make sure you understand.). What is the maximum torque Tc you can apply (in the direction shown) to point C before the bar is expected to fail? Hints: 1) Is this a deformation problem, where you need to find the stresses at all values of x, or a failure problem, where you just need to find the position(s) of maximum stress? 2) This has more than one segment, so for each segment, you will need a different equation to calculate deformations or a different position of maximum stress. 3)

Mathematics For Machine Technology

8th Edition

ISBN:9781337798310

Author:Peterson, John.

Publisher:Peterson, John.

Chapter65: Achievement Review—section Six

Section: Chapter Questions

Problem 57AR: Solve these prism and cylinder exercises. Where necessary, round the answers to 2 decimal places...

See similar textbooks

Similar questions

Cycling The Campagnolo Hyperon Ultra Two carbon wheel, which has a diameter of 700 millimeters, has 22 spokes evenly distributed around the rim of the wheel. What is the length of the rim subtended by adjacent pairs of spokes (Figure 15)?
A rectangular solid has length L=12.6 mm, width W=23.8 mm, and height H=32.5 mm. Find the length of a diagonal AB from the upper left rear vertex to the lower right front vertex. Round the answer to 1 decimal place.
A force of 62,125 pounds pulls on a steel rod that has a diameter of 1800 inches. Find the force pulling on 1 square inch of the cross-sectional area. Round the answer to the nearest pound.
Solve these prism and cylinder exercises. Where necessary, round the answers to 2 decimal places unless otherwise specified. Compute the height of a prism with a base area of 2.7 square feet and a volume of 4.86 cubic feet.