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Summary of Significant Accounting Policies - Prepaids and Other Assets (Details) (USD $)
In Thousands, unless otherwise specified
May 31, 2013
Dec. 31, 2013
Dec. 05, 2013
Related Party Transaction [Line Items]      
Stated interest rate 5.695%us-gaap_DebtInstrumentInterestRateStatedPercentage    
Four Point Five Percent Due December 2013 [Member] | Executive Officer [Member]      
Related Party Transaction [Line Items]      
Note receivable, related party   $ 975us-gaap_NotesReceivableRelatedParties
/ us-gaap_DebtInstrumentAxis
= wsr_FourPointFivePercentDueDecember2013Member
/ us-gaap_RelatedPartyTransactionsByRelatedPartyAxis
= us-gaap_ExecutiveOfficerMember		  
Stated interest rate   4.50%us-gaap_DebtInstrumentInterestRateStatedPercentage
/ us-gaap_DebtInstrumentAxis
= wsr_FourPointFivePercentDueDecember2013Member
/ us-gaap_RelatedPartyTransactionsByRelatedPartyAxis
= us-gaap_ExecutiveOfficerMember		 5.20%us-gaap_DebtInstrumentInterestRateStatedPercentage
/ us-gaap_DebtInstrumentAxis
= wsr_FourPointFivePercentDueDecember2013Member
/ us-gaap_RelatedPartyTransactionsByRelatedPartyAxis
= us-gaap_ExecutiveOfficerMember