Mechanics of Materials
11th Edition
ISBN: 9780137605460
Author: Russell C. Hibbeler
Publisher: Pearson Education (US)
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Chapter 8.2, Problem 19P
The plate has a thickness of 20 mm and P acts along the centerline of this thickness.
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IA
y
50 mm
O y = 48.3 mm, I = 15.08(106) mm*
O y = 48.3 mm, I = 17.51(106) mm¹
O y = 116.7 mm, I = 15.08(106) mm²
O y = 48.3 mm, I = 13.49(106) mm¹
120 mm
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20 mm
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Determine the location y of the centroid C of the beam's cross-sectional area. Then compute the moment of inertia of the area about the XX
axis.
A circle of 60 mm diameter rolls on the circumference of another circle of 200 mm diameter and outside it. Draw the Epicycloid curve traced by a point P on the circumference of rolling circle for one complete revolution of a circle. Also draw the normal and tangent to the curve.
This shoulder bolt is composed of hot-rolled monel. The head of the shoulder bolt is a regular hexagon and it measures 6 mm across opposite flats. The other dimensions of the bolt are given below, as well as the forces to which this component is subjected. Find the change in length of each segment of the part as well as the overall change in length from A to D
F_A = 4.8 kN
F_B = 5.1 kN
F_C =1.6 kN
F_D = 1.9 kN
a = 4mm
b = 4.1 cm
c = 6.8 cm
d_s = 5 mm
d_t (effective) = 3mm
Assume:∙ Bearing stress between threads of the bolt and the nut may be neglected∙ Stress concentration effects may be neglected∙ The force that the nut applies may be treated as a concentrated force.∙ The nut may be treated as rigid.∙ The forces applied to the nut and the shoulders of the bolt are distributed evenly around their perimeters
δAB =
δBC =
δCD =
δoverall =
Chapter 8 Solutions
Mechanics of Materials
Ch. 8.1 - If it is subjected to an internal pressure of p =...Ch. 8.1 - If it is subjected to an internal pressure of p =...Ch. 8.1 - The thin-walled cylinder can be supported in one...Ch. 8.1 - If the inner diameter of the tank is 22 in., and...Ch. 8.1 - Prob. 5PCh. 8.1 - 88. The steel water pipe has an inner diameter of...Ch. 8.1 - The steel water pipe has an inner diameter of 12...Ch. 8.2 - Fundamental Problems F81. Determine the normal...Ch. 8.2 - Show the results in a differential element at the...Ch. 8.2 - Determine the state of stress at point A on the...
Ch. 8.2 - Determine the magnitude of the load P that will...Ch. 8.2 - Determine the state of stress at point B. Show the...Ch. 8.2 - Determine the state of stress at point A on the...Ch. 8.2 - Determine the state of stress at point A on the...Ch. 8.2 - Show the results in a differential element at the...Ch. 8.2 - The plate has a thickness of 20 mm and P acts...Ch. 8.2 - Plot the distribution of normal stress acting...Ch. 8.2 - Also, plot the normal-stress distribution over the...Ch. 8.2 - Determine the stress components at point A on the...Ch. 8.2 - Determine the stress components at point B on the...Ch. 8.2 - If it is subjected to the force system shown,...Ch. 8.2 - Neglect the weight of the block.Ch. 8.2 - Neglect the weight of the block.Ch. 8.2 - He is supported uniformly by two bars, each having...Ch. 8.2 - Specify the region to which this load can be...Ch. 8.2 - The pins at C and D are at the same location as...Ch. 8.2 - If the force at the ram on the clamp at D is P= 8...Ch. 8.2 - Determine the maximum ram force P that can be...Ch. 8.2 - and an outer radius of 3.00 in. If the face of the...Ch. 8 - If it supports a cable loading of 800 lb,...Ch. 8 - Determine the state of stress at point E on the...Ch. 8 - Determine the state of stress at point F on the...Ch. 8 - The suspender arm AE has a square cross-sectional...Ch. 8 - If the cross section of the femur at section aa...Ch. 8 - If it has a mass of 5 kg/m, determine the largest...Ch. 8 - and is used to support the vertical reactions of...Ch. 8 - and is used to support the vertical reactions of...
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