Complete Solution Manual for Applied Statics and Strength of Materials, 7th Edition by George Limbrunner

Complete Solution Manual for
Applied Statics and Strength of
Materials, 7th Edition by George
Limbrunner – Detailed Step-by-Step
Solutions for All Chapters

September 11, 2025

, 1 Chapter 1: Basic Concepts in Statics
1.1 Problem 1.1
A right triangle has legs of 10 ft and 7 ft. Find the hypotenuse c.
Solution: Use the Pythagorean theorem:
√ √ √
c = 102 + 72 = 100 + 49 = 149 ≈ 12.21 ft.


1.2 Problem 1.2
A force of 25 lb acts at 48◦ to the horizontal. Find the vertical component.
Solution: The vertical component is:

Fy = 25 sin 48◦ ≈ 25 × 0.7431 = 18.58 lb.


1.3 Problem 1.3
In a right triangle with legs 72 ft and 67.3 ft, find the hypotenuse and angles A
and B.
Solution: Hypotenuse:
√ √ √
a = 722 + 67.32 = 5184 + 4529 ≈ 9713 ≈ 98.55 ft.

Angle A: ( )
67.3
A = tan −1
≈ 43.06◦ .
72
Angle B:
B = 90◦ − 43.06◦ ≈ 46.94◦ .

1.4 Problem 1.4
Find the vertical rise of a 28 ft ramp inclined at 70◦ .
Solution:
Rise = 28 sin 70◦ ≈ 28 × 0.9397 = 26.31 ft.

1.5 Problem 1.5
A triangle has a hypotenuse of 10 ft and an opposite side of 6 ft. Find the angle θ
and adjacent side.
Solution: ( )
−1 6
θ = sin ≈ 36.87◦ .
10
Adjacent: √ √
102 − 62 = 64 = 8 ft.


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