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A 4-ft concrete post is reinforced with four steel bars, each with a -in. diameter. Knowing that E, 29 x 10 psi and E=3.6 x 10 psi, determine the normal stresses in the steel and in the concrete when a 150-kip axial centric force P is applied to the post.

A 4-ft concrete post is reinforced with four steel bars, each with a -in. diameter. Knowing that E, 29 x 10 psi and E=3.6 x 10 psi, determine the normal stresses in the steel and in the concrete when a 150-kip axial centric force P is applied to the post.

Structural Analysis
Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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A 4-ft concrete post is reinforced with four steel bars, each with a -in. diameter. Knowing that E, 29 x 10 psi and E=3.6 x 10 psi, determine the normal stresses in the steel and in the concrete when a 150-kip axial centric force P is applied to the post.

for diagrams 3. Use blue pen for text, black marker for headings and black pointer for diagrams 4. Write your name and registration no on each page of your assignment 5. Make pdf and upload in teams within due date. Solve the problems: 1. Problem Statement A 4-ft concrete post is reinforced with four steel bars, each with a-in. diameter. Knowing that E, = 29 × 10° psi and E. = 3.6 × 10° psi, determine the normal stresses in the steel and in the concrete when a 150-kip axial centric force P is applied to the post. 4 ft 8 in. 8 in. 2. Problem Statement: Two cylindrical rods, one of steel and the other of brass, are joined at C and restrained by rigid supports at A and E. For the loading shown and knowing that E, = 200 GPa and E, = 105 GPa, deter- mine (a) the reactions at A and E, (b) the deflection of point C. Dimensions in mm 100 100 -180 120→| A C D| E Steel B. Brass 60 kN 40 kN 40-mm diam. 30-mm diam. 3. Problem Statement: = 3.6 x 10° psi and a, = 5.5 x 10-6/°F) The concrete post (E. is reinforced with six steel bars, each of 5-in diameter (E, = 29 x 10 psi and a, = 6.5 × 10-6°F). Determine the normal stresses induced in the steel and in the concrete by a temperature rise of 65°F. 6 ft 10 in. 10 in. 4. Problem Statement: A). Knowing that a 0.02-in. gap exists when the temperature is 75°F, determine (a) the temperature at which the normal stress in the aluminum bar will be equal to -1 ksi, (b) the corresponding exact length of the aluminum bar.
Transcribed Image Text:for diagrams 3. Use blue pen for text, black marker for headings and black pointer for diagrams 4. Write your name and registration no on each page of your assignment 5. Make pdf and upload in teams within due date. Solve the problems: 1. Problem Statement A 4-ft concrete post is reinforced with four steel bars, each with a-in. diameter. Knowing that E, = 29 × 10° psi and E. = 3.6 × 10° psi, determine the normal stresses in the steel and in the concrete when a 150-kip axial centric force P is applied to the post. 4 ft 8 in. 8 in. 2. Problem Statement: Two cylindrical rods, one of steel and the other of brass, are joined at C and restrained by rigid supports at A and E. For the loading shown and knowing that E, = 200 GPa and E, = 105 GPa, deter- mine (a) the reactions at A and E, (b) the deflection of point C. Dimensions in mm 100 100 -180 120→| A C D| E Steel B. Brass 60 kN 40 kN 40-mm diam. 30-mm diam. 3. Problem Statement: = 3.6 x 10° psi and a, = 5.5 x 10-6/°F) The concrete post (E. is reinforced with six steel bars, each of 5-in diameter (E, = 29 x 10 psi and a, = 6.5 × 10-6°F). Determine the normal stresses induced in the steel and in the concrete by a temperature rise of 65°F. 6 ft 10 in. 10 in. 4. Problem Statement: A). Knowing that a 0.02-in. gap exists when the temperature is 75°F, determine (a) the temperature at which the normal stress in the aluminum bar will be equal to -1 ksi, (b) the corresponding exact length of the aluminum bar.
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